Articles - Rafael López

[106] Rafael López, Generalization of Newton's minimal resistance problem to warped product surfaces. , Journal of Geometry and Physics, to appear. DOI
[105] Rafael Belli, Rafael López, Gauss curvature solitons on invariant surfaces in the homogeneous space Sol, Bulletin of the Brazilian Mathematical Society, New Series, to appear. DOI
[104] Jing Li, Yanlin Li, Rafael López, Singularities and geometric properties of evolutoids of non-degenerate surfaces in Minkowski 3-space, Acta Mathematica Scientia, to appear. DOI
[103] Rafael López, The radial Newton problem: nonlinear dynamics of minimal resistance in central fields, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, to appear. DOI
[102] Rafael López, A necessary condition for cylindrical curves in terms of curvature and torsion, Aequationes mathematicae, to appear. DOI
[101] Seher Kaya, Rafael López, Axisymmetric solutions of the $\lambda$-singular minimal surface equation, Acta Mathematica Hungarica, to appear.
[100] Rafael López, Separable surfaces that are critical points of the Dirichlet energy, Manuscripta Mathematica, 177, 30 (2026). DOI
[99] Rafael López, The Newton's problem assuming non-constant density of the fluid, Applied Mathematics Letters, Volume 177, 2026, 109901. DOI
[98] Antonio Bueno, Rafael López, Compact $\lambda$-translators in H2xR with boundary, Revista Matemática Complutense, to appear.DOI
[97] Rafael López, Translating solitons of separable type, Illinois Journal of Mathematics, to appear. DOI
[96] Zhichao Yang, Yanlin Li, Rafael López, Singularities and dualities of evolving developable frontals, Research in the Mathematical Sciences, Volume 13, article number 22 (2026).DOI
[95] Rafael López, Bennett Palmer and Alvaro Pámpano, Axially symmetric Helfrich spheres, Communications on Pure and Applied Analysis, 29 (2026), 163-192.DOI
[94] Ivan Krznarić, Rafael López, Geometric aspects of the curve shortening flow in the hyperbolic plane, Geometriae Dedicata, 220, 6 (2026).DOI
[93] Rafael López, A design of an asisymmetric roof with horizontal rotation axis, Studies in Applied Mathematics, 156, no. 1 (2026): e70164.DOI
[92] Ulrich Dierkes, Rafael López, Axisymmetric stationary surfaces for the moment of inertia, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Published online 2026:1-27.DOI
[91] Luiz C. B. da Silva and Rafael López, Catenaries and minimal surfaces of revolution in hyperbolic space, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 156, no. 1, (2026), 263--283. DOI
[90] Rafael López, Marian Ioan Munteanu, Ana Irina Nistor, Solitons of the mean curvature flow by separation of variables, Mediterranean Journal of Mathematics, Volume 23, article number 2, (2026).DOI
[89] Rafael López, Maximal translation surfaces in Lorentz-Minkowski space, Hokkaido Mathematical Journal, to appear.DOI
[88] Antonio Bueno, Rafael López, A new family of translating solitons in hyperbolic space, Journal of the Korean Mathematical Society, 63 (2026), 295-311.DOI
[87] Ulrich Dierkes, Rafael López, On the Plateau Problem for Surfaces with minimum Moment of Inertia, Advances in Calculus of Variations, vol. 19, no. 1, 2026, pp. 85-96.DOI
[86] Muhittin Evren Aydin, Rafael López, Gabriel-Eduard Vilcu, Classification of separable hypersurfaces with constant sectional curvature. Journal of Mathematical Analysis and Applications. 553, Issue 1 (2026), 129859DOI

[85] Rafael López, Stability of vertical and radial graphs in the Euclidean space with density, Bulletin of the Korean Mathematical Society, (2025), to appear.DOI
[84] Rafael López, Classification of the ruled surfaces that are critical points of the Dirichlet energy, Journal of Mathematical Study, (2025), to appear.DOI
[83] Rafael López, A note on helicoidal singular minimal surfaces, Houston Journal of Mathematics, 51 (2025), 247-255.DOI
[82] Rafael López, Two classification results for stationary surfaces of the least moment of inertia. International Electronic Journal of Geometry, 18 (2) (2025), 425-436.DOI
[81] Rafael López, Stationary surfaces for the moment of inertia with constant Gauss curvature, Analysis, vol. 45, no. 4, 2025, 259-267. DOI
[80] Rafael López, Singular minimal surfaces with constant curvature, Archiv der Mathematik, 125 (2025), 659–670. DOI
[79] Rafael López, A note on helices in the Euclidean space and in the hyperbolic space, Journal of Geometry, 116, 31 (2025). DOI
[78] Antonio Bueno, Rafael López, Horo-shrinkers in the hyperbolic space, Taiwanese Journal of Mathematics, Vol. 29, No. 5 (2025), 1037–1059. DOI
[77] Rafael López, Rigidity of solitons of the Gauss curvature flow in Euclidean space, International Journal of Mathematics, vol. 36, no. 11, (2025), 2550041. DOI
[76] Rafael López, A connection between minimal surfaces and the two-dimensional analogues of a problem of Euler, Annali di Matematica Pura ed Applicata, (2025). DOI
[75] Muhittin Evren Aydin, Rafael López, Adela Mihai, Classification of translation surfaces in R^3 with constant sectional curvature for the canonical snm-connection, Bulletin of the Malaysian Mathematical Sciences Society, vol. 48, 114, (2025). DOI
[74] Rafael López, Differential geometry of curves in dual space, Vietnam Journal of Mathematics, (2025). DOI
[73] Rafael López, Marian I. Munteanu, Solitons of the mean curvature flow in S^2xR, Differential Geometry and its Applications, vol. 99, (2025), 102243. DOI
[72] Antonio Bueno, Rafael López, Stability of cylinders in E(k,t) homogeneous spaces, Mediterranean Journal of Mathematics, vol. 22, 59, (2025). DOI
[71] Rafael López, Marian I. Munteanu, Translators of the mean curvature flow in the special linear group SL(2,R), Results of Mathematics, vol. 80, 62, (2025). DOI
[70] Rafael López, A characterization of curves that lie on a totally umbilical surface of a space form, Journal of Geometry, Volume 116, article number 1 (2025). DOI
[69] Seher Kaya, Rafael López, On intrinsic rotational surfaces in the Lorentz-Minkowski space, Hacettepe Journal of Mathematics and Statistics, 54 Issue (2025), 1276-1299. DOI
[68] Rafael López, The hanging chain problem with respect to a circle, Kyungpook Mathematical Journal, vol. 65, no. 1, (2025), 131-147. DOI
[67] Muhittin Evren Aydin, Rafael López, Adela Mihai, Constant sectional curvature surfaces with a semi-symmetric non-metric connection, Journal of Mathematical Analysis and Applications, vol. 542, no. 2, (2025), 128795. DOI
[66] Antonio Bueno, Rafael López, The class of grim reapers in H^2 x R, Journal of Mathematical Analysis and Applications, vol. 541, (2025), 128730. DOI
[65] Rafael López, Marian Ioan Munteanu, Conformal trajectories in 3-dimensional space forms, International Journal of Geometric Methods in Modern Physics, vol. 22, no. 01, (2025), 2450258. DOI
[64] Rafael López, An analysis of the Sturm-Liouville eigenvalue problem of a cylinder between two spheres of equal radius, Differential and Integral Equations, vol. 38, no. 1/2, (2025), 111-140. DOI
[63] Yu Fu, Rafael López, Yanru Luo and Dan Yang, Translating solitons in R3 of linear Weingarten type, Acta Mathematica Sinica, English Series, vol. 41, (2025), 1617–1634. DOI
[62] Rafael López, Open problems on compact constant mean curvature surfaces with boundary, Contemporary Mathematics, A.M.S., vol. 821, (2025), 105-118.

[61] Antonio Bueno, Rafael López, On the stability of Killing cylinders in hyperbolic space, The Journal of Geometric Analysis, 34, Article 281, (2024). DOI
[60] Rafael López, The hanging chain problem in the sphere and in the hyperbolic plane, Journal of Nonlinear Science, 34, 75, (2024). DOI
[59] Muhittin Evren Aydin, Rafael López, Rotational surfaces in R^4 with new approaches and examples, International Electronic Journal of Geometry, vol. 17, no. 1, (2024), 97-105. DOI
[58] Rafael López, Cetin Camci, Ali Ucum, Kazim Ilarslan, Surfaces of osculating circles in Euclidean space, Vietnam Journal of Mathematics, 52 (2024), 197-210. DOI
[57] Rafael López, Stability of a capillary circular cylinder between two parallel cylinders, SIAM Journal on Applied Mathematics, vol. 84, no. 3, (2024), 1039-1059. DOI
[56] Luiz C. B. Da Silva, Rafael López, Catenaries in Riemannian Surfaces, São Paulo Journal of Mathematical Sciences, vol. 18, (2024), 389–406. DOI
[55] Antonio Bueno, Rafael López, Irene Ortiz, The Plateau-Rayleigh instability of translating $\lambda$-solitons, Results in Mathematics, vol. 79, no. 58, (2024). DOI
[54] Rafael López, A characterization of the catenary under the effect of surface tension, Rendiconti del Circolo Matematico di Palermo Series 2, 73 (2024). 73, 873–885. DOI

[53] Muhittin Evren Aydin, Rafael López, Rotationally Symmetric Translators of The Gauss Curvature Flow, Romanian Journal of Mathematics and Computer Science, vol. 13, (2023), 35-40.
[52] Muhittin Evren Aydin, Rafael López, Rotational K^alpha-translators in Minkowski space, Taiwanese Journal of Mathematics, vol. 27, no. 5, (2023), 953-969.DOI
[51] Antonio Bueno, Rafael López, Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map, Annals of Global Analysis and Geometry, vol. 64, no. 2, (2023), Paper No. 6, 16 pp.DOI
[50] Luiz C. B. Da Silva, Rafael López, Catenaries and singular minimal surfaces in the simply isotropic space, Results in Mathematics, vol. 78, no. 5, (2023), Paper No. 204, 28 pp.DOI
[49] Rafael López, Geometric and architectural aspects of the singular minimal surface equation, New Trends in Geometric Analysis, RSME Springer Series 10, (2023), 305-336.DOI
[48] Ulrich Dierkes, Rafael López, Cylindrical singular minimal surfaces, Rendiconti Lincei Matematica e Applicaciones, vol. 34, no. 3, (2023), 547-576. DOI
[47] Rafael López, A characterization of minimal rotational surfaces in the de Sitter space, Mediterranean Journal of Mathematics, vol. 20, no. 2, (2023), Paper No. 68, 17 pp. DOI
[46] Rafael López, Álvaro Pámpano, A relation between critical points of Willmore-type energies, weighted areas and vertical potential energies, Journal of Geometry and Physics, vol. 185, (2023), 104731. DOI
[45] Antonio Bueno, Rafael López, Radial solutions for equations of Weingarten type, Journal of Mathematical Analysis and Applications, vol. 517, no. 1, (2023), Paper No. 126575, 12 pp.
[44] Muhittin Evren Aydin, Rafael López, Translators of flows by powers of the Gauss curvature, Annali di Matematica Pura ed Applicata, vol. 202, no. 1, (2023), 235-251. DOI
[43] Rafael López, What is the Shape of a Cupola?, The American Mathematical Monthly, vol. 30, no. 3, (2023), 222-238. 🥇 (This article has been awarded with a P. R. Halmos-L. R. Ford Award by the Mathematical Association of America).

[42] Muhittin Evren Aydin, Rafael López, Translating solitons of translation and homothethical types, Turkish Journal of Mathematics, vol. 46, (2022), 3245-3259. DOI
[41] Rafael López, A dome subjected to compression forces: a comparison study between the mathematical model, the catenary rotation surface and the paraboloid, Chaos, Solitons and Fractals, vol. 161, (2022), Paper No. 112350, 10 pp.
[40] Seher Kaya, Rafael López, Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space, The Tohoku Mathematical Journal, vol. 74, no. 2, (2022), 263-286. DOI
[39] Rafael López, Plateau-Rayleigh instability of singular minimal surfaces, Communications on Pure and Applied Analysis, vol. 45, no. 9, (2022), 5067-5085. DOI
[38] Seher Kaya, Rafael López, Riemann Zero Mean Curvature Examples in Lorentz-Minkowski Space, Mathematical Methods in the Applied Sciences, vol. 45, no. 9, (2022), 5067-5085. DOI
[37] Rafael López, Álvaro Pámpano, Stationary soap films with vertical potentials, Nonlinear Analysis, vol. 215, (2022), Paper No. 112661, 22 pp.

[36] Muhittin Evren Aydin, Rafael López, Ruled translating solitons in Minkowski 3-space, Journal of Geometry and Physics, vol. 170, (2021), Paper No. 104392, 10 pp.
[35] Rafael López, Zeljka Milin Sipus, Ljiljana Primorac Gajcic, Ivana Protrka, Involutes of Pseudo-null Curves in Lorentz-Minkowski 3-space, Mathematics, vol. 9, no. 11, (2021), 1256. DOI
[34] Thomas Hasanis, Rafael López, Translation surfaces in Euclidean space with constant Gaussian curvature, Communications in Analysis and Geometry, vol. 29, no. 6, (2021), 1415-1447.
[33] Rafael López, Zeljka Milin Sipus, Ljiljana Primorac Gajcic, Ivana Protrka, Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space, Results in Mathematics, vol. 76, no. 1, (2021), Paper No. 52, 21 pp.
[32] Rafael López, Ruled surfaces of generalized self-similar solutions of the mean curvature flow, Mediterranean Journal of Mathematics, vol. 18, no. 5, (2021), Paper No. 197, 12 pp.
[31] Rafael López, Óscar Perdomo, Constant-speed ramps for a central force field, Discrete and Continuous Dynamical Systems, vol. 41, no. 7, (2021), 3447-3464.
[30] Thomas Hasanis, Rafael López, Classification of separable surfaces with constant Gaussian curvature, Manuscripta Mathematica, vol. 166, no. 3-4, (2021), 403-417.
[29] Rafael López, The Lorentzian version of a theorem of Krust, Bulletin of the Malaysian Mathematical Sciences Society, vol. 44, no. 2, (2021), 683-692.

[28] Rafael López, Gradient estimates for the constant mean curvature equation in hyperbolic space, Proceedings of the Royal Society of Edinburgh - Section A: Mathematics, vol. 150, no. 6, (2020), 3216-3230.
[27] Rafael López, The Translating Soliton Equation, Minimal Surfaces: Integrable Systems and Visualisation, vol. 349, (2020), 187-216.
[26] Thomas Hasanis, Rafael López, A characteristic property of Delaunay surfaces, Proceedings of the American Mathematical Society, vol. 148, no. 12, (2020), 5291-5298.
[25] Rafael López, Álvaro Pámpano, Classification of rotational surfaces with constant skew curvature in 3-space forms, Journal of Mathematical Analysis and Applications, vol. 489, no. 2, (2020), 124195, 19 pp.
[24] Rafael López, The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem, Pacific Journal of Mathematics, vol. 305, no. 2, (2020), 693-719.
[23] Thomas Hasanis, Rafael López, Classification and construction of minimal translation surfaces in Euclidean space, Results in Mathematics, vol. 75, no. 1, (2020), Paper No. 2, 22 pp.
[22] Rafael López, Liquid Drops, Soap Bubbles and Surfaces with Constant Mean Curvature, Geometry, Integrability and Quantization, vol. 21, (2020), 13-54.
[21] Seher Kaya, Rafael López, Spacelike zero mean curvature surfaces in L^4, Bulletin of the Malaysian Mathematical Sciences Society, vol. 43, no. 3, (2020), 2479-2492.
[20] Rafael López, Álvaro Pámpano, Rotational surfaces of constant astigmatism in space forms, Journal of Mathematical Analysis and Applications, vol. 483, no. 1, (2020), 123602, 21 pp.
[19] Rafael López, Compact singular minimal surfaces with boundary, American Journal of Mathematics, vol. 142, no. 6, (2020), 1771-1795.
[18] Rafael López, Álvaro Pámpano, Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures, Mathematische Nachrichten, vol. 293, no. 4, (2020), 735-753.

[17] Rafael López, The Dirichlet problem of the constant mean curvature equation in Lorentz-Minkowski space and in Euclidean space, Mathematics, vol. 7, no. 12, (2019), 1211.
[16] Cristian Enache, Rafael López, Minimum principles and a priori estimates for some translating soliton type problems, Nonlinear Analysis, vol. 187, (2019), 352-364.
[15] Rafael López, Zeljka Milin Sipus, Ljiljana Primorac Gajcic, Ivana Protrka, Harmonic evolute of B-scrolls with constant mean curvature in Lorentz-Minkowski space, International Journal of Geometric Methods in Modern Physics, vol. 16, no. 5, (2019), 1950076.
[14] Rafael López, Gabriel Ruiz, Surfaces with a canonical principal direction and prescribed mean curvature, Annali di Matematica Pura ed Applicata, vol. 198, no. 4, (2019), 1471-1479.
[13] Rafael López, The one dimensional case of the singular minimal surfaces with density, Geometriae Dedicata, vol. 200, no. 1, (2019), 302-320.
[12] Rafael López, Uniqueness of critical points and maximum principles of the singular minimal surface equation, Journal of Differential Equations, vol. 266, no. 7, (2019), 3927-3941.
[11] Rafael López, The Dirichlet problem for the alpha-singular minimal surface equation, Archiv der Mathematik, vol. 112, (2019), 213-222.

[10] Rafael López, Some geometric properties of translating solitons in Euclidean space, Journal of Geometry, vol. 109, no. 3, (2018), Paper No. 40, 15 pp.
[9] Rafael López, Compact lambda-translating solitons with boundary, Mediterranean Journal of Mathematics, vol. 15, no. 5, (2018), Paper No. 196, 15 pp.
[8] Rafael López, The Dirichlet problem on a strip for the alpha-translating soliton equation, Comptes Rendus Mathematique, vol. 356, (2018), 1179-1187.
[7] Rafael López, Invariant surfaces in Euclidean space with a log-linear density, Advances in Mathematics, vol. 339, (2018), 285-309.
[6] Seher Kaya, Rafael López, Solutions of the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space, Turkish Journal of Mathematics, vol. 42, (2018), 2186-2201.
[5] Rafael López, Matthias Weber, Explicit Björling surfaces with prescribed geometry, Michigan Mathematical Journal, vol. 67, (2018), 561-584.
[4] Rafael López, Invariant singular minimal surfaces, Annals of Global Analysis and Geometry, vol. 53, no. 4, (2018), 521-541.
[3] Antonio Bueno, Rafael López, Translation surfaces of linear Weingarten type, Analele Stiintifice ale Universitatii Al. I. Cuza din Iasi. Matematica, vol. 64, (2018), 151-160.
[2] Rafael López, Seher Kaya, On the duality between rotational minimal surfaces and maximal surfaces, Journal of Mathematical Analysis and Applications, vol. 458, no. 1, (2018), 345-360.

Rafael López, Constant mean curvature hypersurfaces in the steady state space: a survey, Lorentzian Geometry and Related Topics. Springer Proceedings in Mathematics and Statistics, Berlin, (2017), 185-212.
Rafael López, Seher Kaya, New examples of maximal surfaces in Lorentz-Minkowski space, Kyushu Journal of Mathematics, vol. 71, no. 2, (2017), 311-327.
Shintaro Akamine, Rafael López, The number of catenoids connecting two coaxial circles in Lorentz-Minkowski space, Journal of Geometry and Physics, vol. 121, (2017), 386-395.
Rafael López, Óscar Perdomo, Minimal translation surfaces in Euclidean space, The Journal of Geometric Analysis, vol. 27, (2017), 2926-2937.
David Brander, Rafael López, Remarks on the boundary curve of a constant mean curvature topological disc, Complex Variables and Elliptic Equations, vol. 62, (2017), 1037-1043.
Rafael López, Stability and bifurcation of a capillary surface on a cylinder, SIAM Journal on Applied Mathematics, vol. 77, no. 1, (2017), 108-127.
Rafael López, A necessary condition for the existence of a doubly connected minimal surface, Annali di Matematica Pura ed Applicata, vol. 196, (2017), 1513-1524.

Rafael López, Spacelike graphs of prescribed mean curvature in the steady state space, Advanced Nonlinear Studies, vol. 16, no. 4, (2016), 807-819.
Rafael López, ¿Cómo un topólogo clasifica las letras del alfabeto?, Miscelánea Matemática, vol. 61, (2015), 57-73.
Rafael López, Capillary surfaces modeling liquid drops on wetting phenomena, The Role and Importance of Mathematics in Innovation. Mathematics for Industry, vol. 25, (2017), 127-141.DOI
Rafael López, Separation of variables in equation of mean curvature type, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 146, no. 5, (2016), 1017-1035.

Rafael López, Capillary surfaces modeling liquid drops on wetting phenomena, MI Lecture Notes, vol. 65, (2015), 41-43.
Rafael López, A characterization of hyperbolic caps in the steady state space, Journal of Geometry and Physics, vol. 98, (2015), 214-226.
Rafael López, Marilena Moruz, Translation and homothetical surfaces in Euclidean space with constant curvature, Journal of the Korean Mathematical Society, vol. 52, no. 3, (2015), 523-535.
Alma L. Albujer, Magdalena Caballero, Rafael López, Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space, Journal of Differential Equations, vol. 258, no. 7, (2015), 2364-2374.
Mohamed Jleli, Rafael López, Bifurcating nodoids in hyperbolic space, Advanced Nonlinear Studies, vol. 15, (2015), 849-865.
Rafael López, Gabriel Ruiz, A characterization of isoparametric surfaces in R^3 via normal surfaces, Results in Mathematics, vol. 67, (2015), 87-94.

Rafael López, Differential Geometry of curves and surfaces in Lorentz-Minkowski space, International Electronic Journal of Geometry, vol. 7, (2014), 44-107.
Rafael López, Capillary surfaces with free boundary in a wedge, Advances in Mathematics, vol. 262, (2014), 476-483.
Rafael López, Esma Demir, Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature, Central European Journal of Mathematics, vol. 12, no. 9, (2014), 1349-1361.
< Rafael López, Invariant surfaces in Sol_3 with constant mean curvature and their computer graphics, Advances in Geometry, vol. 14, no. 1, (2014), 31-48.
Rafael López, Juncheol Pyo, Capillary surfaces in a cone, Journal of Geometry and Physics, vol. 76, (2014), 256-262.
Rafael López, Juncheol Pyo, Capillary surfaces of constant mean curvature in a right solid cylinder, Mathematische Nachrichten, vol. 287, no. 11-12, (2014), 1312-1319.
Rafael López, Marian I. Munteanu, Invariant surfaces in the homogeneous space Sol with constant curvature, Mathematische Nachrichten, vol. 287, no. 8-9, (2014), 1013-1024.

Rafael López, Ana Nistor, Surfaces in Sol_3 space foliated by circles, Results in Mathematics, vol. 64, no. 3-4, (2013), 319-330.
Rafael López, Juncheol Pyo, Constant mean curvature surfaces with boundary on a sphere, Applied Mathematics and Computation, vol. 220, (2013), 316-323.
Rafael López, Level curves of constant mean curvature graphs over convex domains, Journal of Differential Equations, vol. 254, no. 7, (2013), 3081-3087.
Luis J. Alías, Rafael López, Jaime Ripoll, Existence and topological uniqueness of compact CMC hypersurfaces with boundary in hyperbolic space, The Journal of Geometric Analysis, vol. 23, no. 4, (2013), 2177-2187.

Jun-ichi Inoguchi, Rafael López, Marian I. Munteanu, Minimal translation surfaces in the Heisenberg group Nil3, Geometriae Dedicata, vol. 161, no. 1, (2012), 221-231.
Rafael López, Bifurcation of cylinders for wetting and dewetting models with striped geometry, SIAM Journal on Mathematical Analysis, vol. 44, (2012), 946-965.
Rafael López, Juncheol Pyo, Spacelike surfaces with free boundary in the Lorentz-Minkowski space, Classical and Quantum Gravity, vol. 29, no. 3, (2012), 035005.
Ahmad Ali, Rafael López, Melih Turgut, k-type partially null and pseudo null slant helices in Minkowski 4-space, Mathematical Communications, vol. 17, no. 1, (2012), 93-103.
Rafael López, Constant mean curvature surfaces in Sol with non-empty boundary, Houston Journal of Mathematics, vol. 38, no. 4, (2012), 1091-1105.
Rafael López, Marian I. Munteanu, Minimal translation surfaces in Sol3, Journal of the Mathematical Society of Japan, vol. 64, no. 3, (2012), 985-1003.
Rafael López, Marian I. Munteanu, Surfaces with constant mean curvature in Sol geometry, Differential Geometry and its Applications, vol. 29, (2011), S238-S245.

Özgür Boyacioglu Kalkan, Rafael López, Derya Saglam, Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation aH+bK=c, Acta Mathematica Universitatis Comenianae, vol. 80, no. 2, (2011), 201-212.
Özgür Boyacioglu Kalkan, Rafael López, Derya Saglam, Linear Weingarten surfaces foliated by circles in Minkowski space, Taiwanese Journal of Mathematics, vol. 15, no. 5, (2011), 1897-1917.
Rafael López, Marian I. Munteanu, On the geometry of surfaces in Sol3, Kyushu Journal of Mathematics, vol. 65, no. 2, (2011), 237-249.
Rafael López, Marian Munteanu, Constant angle surfaces in Minkowski space, Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 18, (2011), 271-286.
Ozgür Boyacioglu Kalkan, Rafael López, Spacelike surfaces in Minkowski space satisfying a linear relation between their principal curvatures, Differential Geometry-Dynamical Systems, vol. 13, (2011), 120-129.
Rafael López, Minimal translation surfaces in hyperbolic space, Beiträge zur Algebra und Geometrie, vol. 52, no. 1, (2011), 105-112.
Ahmad Ali, Rafael López, Slant helices in Minkowski space E_1^3, Journal of the Korean Mathematical Society, vol. 48, (2011), 159-167.
Rafael López, The Theorem of Schur in Minkowski plane, Journal of Geometry and Physics, vol. 61, no. 1, (2011), 342-346.
< Rafael López, Surfaces with constant mean curvature in Euclidean space, International Electronic Journal of Geometry, vol. 3, no. 2, (2010), 67-101.

Ahmad Ali, Rafael López, Some characterization of inclined curves in Euclidean E^n space, Novi Sad Journal of Mathematics, vol. 40, no. 1, (2010), 9-17.
Rafael López, Stationary rotating surfaces in Euclidean space, Calculus of Variations in Partial Differential Equations, vol. 39, no. 3-4, (2010), 333-359.
Ahmad T. Ali, Rafael López, Timelike B2-slant helices in Minkowski space E_1^4, Archivum Mathematicum, vol. 46, (2010), 39-46.
Ahmad T. Ali, Rafael López, Slant helices in Euclidean 4-space E^4, Journal of the Egyptian Mathematical Society, vol. 18, no. 2, (2010), 223-230.
Rafael López, A criterion on instability of rotating cylindrical surfaces, Archiv der Mathematik, vol. 94, no. 1, (2010), 91-99.

Rafael López, A new proof of a characterization of small spherical caps, Results in Mathematics, vol. 55, (2009), 427-436.
Rafael López, Parabolic Weingarten surfaces in hyperbolic space, Publicationes Mathematicae Debrecen, vol. 74, no. 1-2, (2009), 59-80.
Rafael López, A comparison result for radial solutions of the mean curvature equation, Applied Mathematics Letters, vol. 22, (2009), 860-864.
Rafael López, Parabolic surfaces in hyperbolic space with constant Gaussian curvature, Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 16, no. 2, (2009), 337-349.
Rafael López, Stationary bands in three-dimensional Minkowski space, Osaka Journal of Mathematics, vol. 46, no. 1, (2009), 1-20.

Rafael López, Linear Weingarten surfaces in Euclidean and hyperbolic space, Matemática Contemporanea, vol. 35, (2008), 95-113.
Rafael López, Stationary surfaces in Lorentz-Minkowski space, The Royal Society of Edinburgh Proceedings A (Mathematics), vol. 138, no. 5, (2008), 1067-1096.
Rafael López, Rotational linear Weingarten surfaces of hyperbolic type, Israel Journal of Mathematics, vol. 167, (2008), 283-301.
Rafael López, Special Weingarten surfaces foliated by circles, Monatshefte für Mathematik, vol. 154, no. 4, (2008), 289-302.
Rafael López, An exterior boundary value problem in Minkowski space, Mathematische Nachrichten, vol. 281, no. 8, (2008), 1169-1181.
Rafael López, On linear Weingarten surfaces, International Journal of Mathematics, vol. 19, no. 4, (2008), 439-448.

Rafael López, Parabolic surfaces in hyperbolic space with constant curvature, Pure and Applied Differential Geometry, PADGE 2007, (2007), 162-170.
Rafael López, On the existence of spacelike constant mean curvature surfaces spanning two circular contours in Minkowski space, Journal of Geometry and Physics, vol. 57, no. 11, (2007), 2178-2186.
Rafael López, Capillary channels in a gravitational field, Nonlinearity, vol. 20, no. 7, (2007), 1573-1600.

Rafael López, On uniqueness of graphs with constant mean curvature, Journal of Mathematics of Kyoto University, vol. 46, no. 4, (2006), 771-787.
Rafael López, Superficies con curvatura media constante cuyo borde es un círculo, Divulgaciones Matemáticas, vol. 14, no. 2, (2006), 121-140.
Rafael López, Spacelike hypersurfaces with free boundary in the Minkowski space under the effect of a timelike potential, Communications in Mathematical Physics, vol. 266, no. 2, (2006), 331-342.
Rafael López, Symmetry of stationary hypersurfaces in hyperbolic space, Geometriae Dedicata, vol. 119, no. 1, (2006), 35-47.
Rafael López, A characterization of hemispheres, Differential Geometry and its Applications, vol. 24, no. 4, (2006), 398-402.

Rafael López, Wetting phenomena and constant mean curvature surfaces with boundary, Reviews in Mathematical Physics, vol. 17, no. 7, (2005), 769-792.

Rafael López, Area monotonicity for spacelike surfaces with constant mean curvature, Journal of Geometry and Physics, vol. 52, no. 3, (2004), 353-363.

Rafael López, Some a priori bounds for solutions of the constant Gauss curvature equation, Journal of Differential Equations, vol. 194, no. 1, (2003), 185-197.
Rafael López, A note on radial graphs with constant mean curvature, Manuscripta Mathematica, vol. 110, no. 1, (2003), 45-54.
Rafael López, Surfaces of constant Gauss curvature in Lorentz-Minkowski 3-space, Rocky Mountain Journal of Mathematics, vol. 33, no. 3, (2003), 971-993.

Rafael López, Cyclic hypersurfaces of constant curvature, Advanced Studies in Pure Mathematics, vol. 34, (2002), 185-199.
Rafael López, An existence theorem of constant mean curvature graphs in Euclidean space, Glasgow Mathematical Journal, vol. 44, no. 3, (2002), 455-461.
Rafael López, Constant mean curvature graphs in a strip of R^2, Pacific Journal of Mathematics, vol. 206, no. 2, (2002), 359-374.

Rafael López, How to use MATHEMATICA to find cyclic surfaces of constant curvature in Lorentz-Minkowski space, Contemporary Mathematics, vol. 288, (2001), 371-375.
Rafael López, Graphs of constant mean curvature in hyperbolic space, Annals of Global Analysis and Geometry, vol. 20, no. 1, (2001), 59-75.
Rafael López, Cyclic surfaces of constant Gauss curvature, Houston Mathematical Journal, vol. 27, no. 4, (2001), 799-805.
Rafael López, Constant mean curvature graphs on unbounded convex domains, Journal of Differential Equations, vol. 171, no. 1, (2001), 54-62.

Francisco López, Rafael López, Rabah Souam, Maximal surfaces of Riemann type in Lorentz-Minkowski space L^3, Michigan Mathematical Journal, vol. 47, no. 3, (2000), 469-497.
Rafael López, Timelike surfaces with constant mean curvature in Lorentz three-space, Tohoku Mathematical Journal, vol. 52, no. 4, (2000), 515-532.
Rafael López, Hypersurfaces with constant mean curvature in hyperbolic space, Hokkaido Mathematical Journal, vol. 29, no. 2, (2000), 229-245.

Rafael López, On uniqueness of constant mean curvature surfaces with planar boundary, New Developments in Differential Geometry, (1999), 235-242.
Rafael López, Constant mean curvature hypersurfaces foliated by spheres, Differential Geometry and its Applications, vol. 11, no. 3, (1999), 245-256.
Rafael López, Constant mean curvature surfaces foliated by circles in Lorentz-Minkowski space, Geometriae Dedicata, vol. 76, no. 1, (1999), 81-95.
Rafael López, Constant mean curvature surfaces with boundary in Euclidean three-space, Tsukuba Journal of Mathematics, vol. 23, no. 1, (1999), 27-36.
Rafael López, Constant mean curvature surfaces bounded by a circle, Rocky Mountain Journal of Mathematics, vol. 29, no. 3, (1999), 971-978.
Luis Alías, Rafael López, Bennet Palmer, Stable constant mean curvature surfaces with circular boundary, Proceedings of the American Mathematical Society, vol. 127, no. 4, (1999), 1195-1200.
Rafael López, Sebastián Montiel, Existence of constant mean curvature graphs in hyperbolic space, Calculus of Variations and Partial Differential Equations, vol. 8, no. 2, (1999), 177-190.
Rafael López, Constant mean curvature surfaces with boundary in hyperbolic space, Monasthefte für Mathematik, vol. 127, no. 2, (1999), 155-169.

Articles in scientific journals and refereed books