Articles in scientific journals and refereed books


(see my co-authors


[118] Cristian Enache, Rafael López, Minimum principles and a priori estimates for some translating soliton type problems, Nonlinear Analysis, to appear.

[117] 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, to appear.

[116] Thomas Hasanis, Rafael López, Translation surfaces in Euclidean space with constant Gaussian curvature.  Communication in Analysis and Geometry, to appear.

[115] Rafael López, Gabriel Ruiz, Surfaces with a canonical principal direction and prescribed mean curvature,  Annali di Matematica Pura ed Applicata, to appear.

[114] Rafael López, Some geometric properties of translating solitons in Euclidean space. Journal of Geometry, to appear.

[113] Rafael López, Compact $\lambda$-translating solitons with boundary. Mediterranean Journal of Mathematics, to appear.

[112] Rafael López, The one dimensional case of the singular minimal surfaces with density. Geometriae Dedicata, to appear.

[111] Rafael López, Compact singular minimal surfaces with boundary. American Journal of Mathematics, to appear.

[110] Rafael López, Uniqueness of critical points and maximum principles of the singular minimal surface equation. Journal of Differential Equations, 266, Issue 7 (2019),   3927-3941.

[109] Rafael López, The Dirichlet problem for the $\alpha$-singular minimal surface equation. Archiv der Mathematik, 112 (2019), 213-222

[108] Rafael López, The Dirichlet problem on a strip for the $\alpha$-translating soliton equation.  Comptes rendus Mathematique, 356 (2018), 1179-1187.

[107] Rafael López, Invariant surfaces in Euclidean space with a log-linear density. Advances in Mathematics, 339 (2018),  285-309

[106] Seher Kaya, Rafael López, Solutions of the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space. Turkish Journal of Mathematics, 42 (2018),  2186-2201. 

[105] Rafael López, Matthias Weber, Explicit Björling surfaces with prescribed geometry, Michigan Mathematical Journal, 67 (2018), 561-584.

[104] Rafael López, Invariant singular minimal surfaces, Annals of Global Analysis and Geometry,  53, Issue 4,  (2018), 521-541

[103] Antonio Bueno, Rafael López, Translation surfaces of linear Weingarten type, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.).64 (2018), 151-160.

[102] Rafael López, Seher Kaya, On the duality between rotational minimal surfaces and maximal surfaces,  Journal of Mathematical Analysis and Applications 458 (2018), no. 1, 345-360.

[101] Rafael López, Constant mean curvature hypersurfaces in the steady state space: a survey, to appear in VIII International Meeting on Lorentzian Geometry (GELOMA, Málaga, September 20-23, 2016), Cañadas-Pinedo, María A., Flores, Jose L, Palomo, Francisco J. (Eds.) Springer Proceedings in Mathematics and Statistics, Berlin, 2017.  pp. 185-212.

[100] Rafael López, Seher Kaya, New examples of maximal surfaces in Lorentz-Minkowski space, Kyushu Mathematical Journal. 71 (2017) Issue 2, 311-327

[99] Shintaro Akamine, Rafael López, The number of catenoids connecting two coaxial circles in Lorentz-Minkowski space. Journal of Geometry and Physics 121 (2017), 386-395.

[98] Rafael López, Óscar Perdomo, Minimal translation surfaces in Euclidean space, The Journal of Geometric Analysis, 27 (2017),  2926–2937.

[97] David Brander, Rafael López, Remarks on the boundary curve of a constant mean curvature topological disc, Complex Variables and Elliptic Equations, 62 (2017), 1037-1043.

[96] Rafael López, Stability and bifurcation of a capillary surface on a cylinder, SIAM Journal on Applied Mathematics, 77(1) (2017), 108-127.

[95] Rafael López, A necessary condition for the existence of a doubly connected minimal surface, Annali di Matematica Pura ed Applicata 196 (2017), 1513-1524.

[94] Rafael López, Spacelike graphs of prescribed mean curvature in the steady state space, Advanced Nonlinear Studies, 16, Issue 4 (2016), 807-819.

[93] Rafael López, ¿Cómo un topólogo clasifica las letras del alfabeto?, Miscelánea Matemática, 61 (2016), 57-73.

[92] Rafael López, Capillary surfaces modeling liquid drops on wetting phenomena, Mathematiccs for Industry, vol. 25,  The Role and Importance of Mathematics in Innovation,  Springer, 2016, pp. 127-141

[91] Rafael López, Separation of variables in equation of mean curvature type, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 146(5) (2016), 1017-1035.

[90] Rafael López, Capillary surfaces modeling liquid drops on wetting phenomena, MI Lecture Notes, 65 (2015), 41-43.

[89] Rafael López, A characterization of hyperbolic caps in the steady state space, Journal of Geometry and Physics, 98 (2015), 214-226.

[88] Rafael López, Marilena Moruz, Translation and homothetical surfaces in Euclidean space with constant curvature, Journal of the Korean Mathematical Society, 52, No. 3, (2015), 523-535.

[87] 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, 258 (7), (2015), 2364-2374.

[86]  Mohamed Jleli, Rafael López, Bifurcating nodoids in hyperbolic space, Advanced Nonlinear Studies, 15 (2015), 849–865 .

[85] Rafael López, Gabriel Ruiz, A characterization of isoparametric surfaces in R^3 via normal surfaces, Results in Mathematics, 67 (2015), 87-94.

[84] Rafael López, Differential Geometry of curves and surfaces in Lorentz-Minkowski space, International Electronic Journal of Geometry, 7 (2014), 44-107.

[83] Rafael López, Capillary surfaces with free boundary in a wedge , Advances in Mathematics, 262 (2014), 476-483.

[82] Rafael López, Esma Demir, Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature, Central European Journal of Mathematics, 12 (9) (2014), 1349-1361.

[81] Rafael López, Invariant surfaces in Sol_3 with constant mean curvature and their computer graphics, Advances in Geometry, 14 (2014), no. 1, 31-48.

[80] Rafael López, Juncheol Pyo, Capillary surfaces in a cone, Journal of Geometry and Physics, 76 (2014), 256-262.

[79]  Rafael López, Juncheol Pyo, Capillary surfaces of constant mean curvature in a right solid cylinder,  Mathematische Nachrichten, 287 (2014), no. 11-12, 1312-1319.

[78] Rafael López, Marian I. Munteanu, Invariant surfaces in the homogeneous space Sol with constant curvature, Mathematische Nachrichten, 287 8-9 (2014), 1013-1024.

[77] Rafael López, Ana Nistor,  Surfaces in Sol_3 space foliated by circles, Results in Mathematics, 64 (2013), No. 3-4, 319-330.

[76] Rafael López, Juncheol Pyo, Constant mean curvature surfaces with boundary on a sphere, Applied Mathematics and Computation, 220 (2013), 316 -323.

[75] Rafael López, Level curves of constant mean curvature graphs over convex domains, Journal of Differential Equations, 254 (2013), no. 7, 3081-3087.

[74] 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,  23 (4) (2013), 2177-2187. DOI: 10.1007/s12220-012-9324-2

[73] Jun-ichi Inoguchi, Rafael López, Marian I. Munteanu, Minimal translation surfaces in the Heisenberg group Nil3, Geometriae Dedicata,  161 (1) (2012) 221-231. DOI: 10.1007/s10711-012-9702-8

[72] Rafael López, Bifurcation of cylinders for wetting and dewetting models with striped geometry, SIAM, Journal on Mathematical Analysis,  44 (2012), 946--965.

[71] Rafael López, Juncheol Pyo, Spacelike surfaces with free boundary in the Lorentz-Minkowski space, Classical and Quantum Gravity.  29 (3) (2012), 035005. doi: 10.1088/0264-9381/29/3/035005

[70] Ahmad Ali, Rafael López, Melih Turgut, k-type partially null and pseudo null slant helices in Minkowski 4-space, Mathematical Communications,  17 (1) (2012), 93-103.

[69] Rafael López, Constant mean curvature surfaces in Sol with non-empty boundary, Houston Journal of Mathematics. 38 (4) (2012), 1091-1105

[68] Rafael López, Marian I. Munteanu, Minimal translation surfaces in Sol3, Journal of the Mathematical Society of Japan,  64 (2012), No. 3, 985--1003.

[67] Rafael López, Marian I. Munteanu, Surfaces with constant mean curvature in Sol geometry, Differential Geometry and its Applications, 29, Supplement 1 (2011), s S238-S245.

[66] 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, LXXX 2 (2011), 201-212.

[65] Özgür Boyacioglu Kalkan, Rafael López, Derya Saglam, Linear Weingarten surfaces foliated by circles in Minkowski space, Taiwanese Journal of Mathematics, 15 (2011), No. 5, 1897--1917.

[64] Rafael López, Marian I. Munteanu, On the geometry of surfaces in  Sol3, Kyushu Journal of Mathematics, 65 No. 2 (2011), 237-249. doi:10.2206/kyushujm.65.237

[63] Rafael López, Marian Munteanu, Constant angle surfaces in Minkowski space, Bulletin of the Belgian Mathematical Society - Simon Stevin, 18 (2011), 271-286.

[62] Ozgür Boyacioglu Kalkan, Rafael López, Spacelike surfaces in Minkowski space satisfying a linear relation between their principal curvatures, Differential Geometry-Dynamical Systems,  13 (2011), 120-129.  

[61] Rafael López, Minimal translation surfaces in hyperbolic space, Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry), 52  (1) (2011), 105-112, DOI: 10.1007/s13366-011-0008-z.

[60] Ahmad Ali, Rafael López, Slant helices in Minkowski space E_1^3, Journal of the Korean Mathematical Society, 48 (2011), 159-167.

[59] Rafael López, The Theorem of Schur in Minkowski plane, Journal of Geometry and Physics, 61 (1) (2011), 342-346. doi:10.1016/j.geomphys.2010.10.009

[58] Rafael López, Surfaces with constant mean curvature in Euclidean space, International Electronic Journal of Geometry, 3 , number 2 (2010), 67-101.

[57] Ahmad Ali, Rafael López, Some characterization of cylindrical helices curves in E^n space, Novi Sad Journal of Mathematics, 40  (no. 1) (2010), 9-17. >

[56] Rafael López, Stationary rotating surfaces in Euclidean space, Calculus of Variations in Partial Differential Equations, 39, numbers 3-4, (2010), 333-359. DOI: 10.1007/s00526-010-0312-8

[55] Ahmad T. Ali, Rafael López, Timelike B2-slant helices in Minkowski space E_1^4, Archivum Mathematicum, 46 (2010), 39-46.

[54] Ahmad T. Ali, Rafael López, Slant helices in Euclidean 4-space E^4, Journal of the Egyptian Mathematical Society, 18  (2) (2010), 223-230.

[53] Rafael López, A criterion on instability of rotating cylindrical surfaces, Archiv der Mathematik, 94  (2010), Number 1, 91-99. DOI: 10.1007/s00013-009-0085-5

[52] Rafael López, A new proof of a characterization of small spherical caps, Results in Mathematics, 55 (2009), 427-436.

[51] Rafael López, Parabolic Weingarten surfaces in hyperbolic space, Publicationes Mathematicae Debrecen, 74 (2009), 1-2, 59-80.

[50] Rafael López, A comparison result for radial solutions of the mean curvature equation, Applied Mathematics Letters, 22 (2009), 860--864.

[49] Rafael López, Parabolic surfaces in hyperbolic space with constant Gaussian curvature, Bulletin of the Belgian Mathematical Society - Simon Stevin. 16 (2009), no. 2 , 337-349.

[48] Rafael López, Stationary bands in three-dimensional Minkowski space, Osaka Journal of Mathematics, 46 (2009), no. 1, 1-20.

[47] Rafael López, Linear Weingarten surfaces in Euclidean and hyperbolic space, Matemática Contemporanea, 35 (2008), 95-113.

[46] Rafael López, Stationary surfaces in Lorentz-Minkowski space, The Royal Society of Edinburgh Proceedings A (Mathematics), 138 (2008), no. 5, 1067-1096.

[45] Rafael López, Rotational linear Weingarten surfaces of hyperbolic type, Israel Journal of Mathematics, 167 (2008), 283-301.

[44] Rafael López, Special Weingarten surfaces foliated by circles, Monatshefte für Mathematik,  154 (2008), no. 4, 289-302.

[43] Rafael López, An exterior boundary value problem in Minkowski space, Mathematische Nachrichten, 281 (2008), no. 8, 1169-1181.

[42] Rafael López, On linear Weingarten surfaces, International Journal of Mathematics, 19 (2008), no. 4, 439 - 448.

[41] Rafael López, Parabolic surfaces in hyperbolic space with constant curvature. Pure and Applied Differential Geometry, PADGE 2007, (F. Dillen, I. Van de Woestyne eds.), Shaker Verlag, Aachen 2007, pp: 162-170.

[40] Rafael López, On the existence of spacelike constant mean curvature surfaces spanning two circular contours in Minkowski space, Journal of Geometry and Physics, 57   (2007), no. 11, 2178-2186.

[39] Rafael López, Capillary channels in a gravitational field, Nonlinearity,  20 (2007), no. 7, 1573-1600.

[38] Rafael López, On uniqueness of graphs with constant mean curvature, Journal of Mathematics of Kyoto University, 46 (2006), no. 4, 771-787.

[37] Rafael López, Superficies con curvatura media constante cuyo borde es un círculo, Divulgaciones Matemáticas,  14 (2006), no. 2, 121-140.

[36] Rafael López, Spacelike hypersurfaces with free boundary in the Minkowski space under the effect of a timelike potential, Communications in Mathematical Physics,  266 (2006), no. 2, 331-342.

[35] Rafael López, Symmetry of stationary hypersurfaces in hyperbolic space, Geometriae Dedicata,  119 (2006), no. 1, 35-47.

[34] Rafael López, A characterization of hemispheres Differential Geometry and its Applications,  24 (2006), no. 4, 398-402.

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

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

[31] Rafael López, Some a priori bounds for solutions of the constant Gauss curvature equation, Journal of Differential Equations, 194  (2003), no. 1, 185-197.

[30] Rafael López, A note on radial graphs with constant mean curvature, Manuscripta Mathematica, 110  (2003), no. 1, 45-54.

[29] Rafael López, Surfaces of constant Gauss curvature in Lorentz-Minkowski 3-space, Rocky Mountain Journal of Mathematics, 33  (2003), no. 3, 971-993.

[28] Rafael López, Cyclic hypersurfaces of constant curvature, Advanced Studies in Pure Mathematics, 34  2002, Minimal Surfaces, Geometric Analysis and Symplectic Geometry, 185-199.

[27] Rafael López, An existence theorem of constant mean curvature graphs in Euclidean space, Glasgow Mathematical Journal, 44  (2002), no. 3, 455-461.

[26] Rafael López, Constant mean curvature graphs in a strip of R^2, Pacific Journal of Mathematics, 206 (2) (2002), no. 2, 359-374.

[25] Rafael López, How to use MATHEMATICA to find cyclic surfaces of constant curvature in Lorentz-Minkowski space. Global Differential Geometry: The Mathematical Legacy of Alfred Gray, (M. Fernández, J. Wolf, Ed.) Contemporary Mathematics, 288, American Mathematical Society, Providence, 2001, 371-375.

[24] Rafael López, Graphs of constant mean curvature in hyperbolic space, Annals of Global Analysis and Geometry, 20 (2001), no. 1, 59-75.

[23] Rafael López, Cyclic surfaces of constant Gauss curvature, Houston Mathematical Journal, 27  (2001), no. 4, 799-805.

[22] Rafael López, Constant mean curvature graphs on unbounded convex domains, Journal of Differential Equations, 171 (2001), no. 1, 54-62.

[21] Francisco López, Rafael López, Rabah Souam, Maximal surfaces of Riemann type in Lorentz-Minkowski space L^3, Michigan Mathematical Journal, 47  (2000), no. 3, 469-497.

[20] Rafael López, Timelike surfaces with constant mean curvature in Lorentz three-space, Tohoku Mathematical Journal, 52 (2000), no. 4, 515-532.

[19] Rafael López, Hypersurfaces with constant mean curvature in hyperbolic space, Hokkaido Mathematical Journal, 29 (2000), no. 2, 229-245.

[18] Rafael López, On uniqueness of constant mean curvature surfaces with planar boundary. New Developments in Differential Geometry, Budapest, 1996, 235-242, Kluwer Acad. Publ.Dordrecht 1999. 

[17] Rafael López, Constant mean curvature hypersurfaces foliated by spheres, Differential Geometry and its Applications,  11 (1999), no. 3, 245-256.

[16] Rafael López, Constant mean curvature surfaces foliated by circles in Lorentz-Minkowski space, Geometriae Dedicata  76 (1999), no. 1, 81-95.

[15] Rafael López, Constant mean curvature surfaces with boundary in Euclidean three-space, Tsukuba Journal of Mathematics,  23 (1999), no. 1, 27-36.

[14] Rafael López, Constant mean curvature surfaces bounded by a circle, Rocky Mountain Journal of Mathematics,  29 (1999), no. 3, 971-978.

[13] Luis Alías, Rafael López, Bennet Palmer, Stable constant mean curvature surfaces with circular boundary, Proceedings of the American Mathematical Society, 127 (1999), no. 4, 1195-1200.

[12] Rafael López, Sebastián Montiel, Existence of constant mean curvature graphs in hyperbolic space, Calculus of Variations and Partial Differential Equations,  8 (1999), no. 2, 177-190.

[11] Rafael López, Constant mean curvature surfaces with boundary in hyperbolic space, Monasthefte für Mathematik,  127 (1999), no. 2, 155-169.

[10] Luis Alías, Rafael López, José Pastor, Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space, Tohoku Mathematical Journal,   50 (1998), no. 4, 491-501.

[9] Rafael López, Surfaces of constant mean curvature with boundary in a sphere, Osaka Journal of Mathematics,  34 (1997), no. 3, 573-577.

[8] Rafael López, A note on H-surfaces with boundary, Journal of Geometry,  60 (1997), no. 1-2, 80-84.

[7] Rafael López, Recientes avances en superficies de curvatura media constante con frontera plana, Publicaciones del Departamento de Matemáticas de la Universidad de Murcia, 19 (1997), 1-29.

[6] Rafael López, Surfaces of constant mean curvature bounded by convex curves, Geometriae Dedicata, 66 (1997), no. 3, 255-263.

[5] Rafael López, Surfaces of constant mean curvature bounded by two planar curves, Annals Global Analysis and Geometry, 15 (1997), no. 3, 201-210.

[4] J. M. Sullivan, F. Morgan, et. al. Open problems in soap bubble geometry, International Journal of Mathematics, 7, no. 6 (1996), 833-842.

[3] Rafael López, Sebastián Montiel, Constant mean curvature surfaces with planar boundary, Duke Mathematical Journal, 85 (1996), no. 3, 583-604.

[2] Rafael López, Constant mean curvature surfaces with boundary, Abstracts of Papers Presented to the American Mathematical Society, 16 (1995), 648.

[1] Rafael López, Sebastián Montiel, Constant mean curvature discs with bounded area, Proceedings of the American Mathematical Society, 123 (1995), no. 5, 1555-1558.