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Global Geometry of Surfaces and Associated Nonlinear Differential Equations |
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Preprints: Half-space theorems for properly immersed surfaces in R3 with prescribed mean curvature. A. Bueno.
A. Bueno.
A. Bueno.
Translating solitons of the mean curvature flow in the space H2×R. A. Bueno.
The global geometry of surfaces with prescribed mean curvature in R3. A. Bueno, J. A. Gálvez, P. Mira.
Rotational hypersurfaces of prescribed mean curvature. A. Bueno, J. A. Gálvez, P. Mira.
f-extremal domains in hyperbolic space
J. M. Espinar, A. Farina, L. Mazet Rotational symmetry of Weingarten spheres in homogeneous three-manifolds. J. A. Gálvez, P. Mira.
Serrin's overdetermined problem for fully nonlinear non-elliptic equations. J. A. Gálvez, P. Mira. On embedded minimal surfaces of Costa-Hoffman-Meeks type in hyperbolic space. A. Jiménez, G. Smith.
A Calabi's type correspondence. A. Martínez, A. Martínez-Triviño. Constant mean curvature spheres in homogeneous three-spheres. W. H. Meeks, P. Mira, J. Pérez, A. Ros.
Constant mean curvature spheres in homogeneous three-manifolds. W. H. Meeks, P. Mira, J. Pérez, A. Ros.
Escobar's type theorems for ellitic fully nonlinear degenerate equations D. P. Abanto, J. M. Espinar. Amer. J. Math. Spacelike
hypersurfaces with functionally bounded mean curvature in Lorentzian
warped products and generalized Calabi-Bernstein type
problems J. A. Aledo, R. Rubio, J. J. Salamanca. Proc. Royal Soc. Edinburgh. Min-Oo conjecture for fully nonlinear conformally invariant equations E. Barbosa, M. P. Cavalcante, J. M. Espinar. Comm. Pure Appl. Math.
The Björling problem for prescribed mean curvature surfaces in R3. A. Bueno. Ann. Glob. Anal. Geom.
Height estimates for mean curvature graphs in Nil3 and PSL˜2(R). A. Bueno. Arch. Math.
The Abresch-Rosenberg Shape Operator and applications J. M. Espinar, H. A. TrejosTrans. Am. Math. Soc.
Uniqueness of immersed spheres in three-manifolds. J. A. Gálvez, P. Mira. J. Diff. Geom.The geometry of stable minimal surfaces in metric Lie groups. W. H. Meeks, P. Mira, J. Pérez Trans. Am. Math. Soc. Published papers: Year 2019:
Compact maximal hypersurfaces in globally hyperbolic spacetimes J. A. Aledo, R. Rubio, J. J. Salamanca. Class. Quantum Grav. 36 (2019), 015017.
Uniqueness Theorems for fully nonlinear conformal equations on subdomains of the sphere M. P. Cavalcante, J. M. Espinar. J. Math. Pure Appl. 122 (2019), 49-66.
Characterization of f−extremal disks J. M. Espinar, L. MazetJ. Diff. Equations 266 (2019), 2052–2077. Year 2018:
Translating solitons of the mean curvature flow in the space H2xR. A. Bueno. J. Geom. 109 (2018), Art. 42, 26 pp. Extremal domains on Hadamard manifolds J. M. Espinar, J. Mao. J. Diff. Equations 265 (2018), 2671-2707.
Area Estimates and Rigidity of capillary H−surfaces in three-manifolds with boundary J. M. Espinar, H. Rosenberg. Math. Z. 289 (2018), 1261-1279.
Isolated singularities of the prescribed mean curvature equation in Minkowski 3-space. J. A. Gálvez, A. Jiménez, P. Mira. Ann. I. H. Poincaré 35 (2018), 1631–1644.Overdetermined elliptic problems in topological disks. Year 2017:
Stable minimal surfaces in Riemannian warped products J. A. Aledo, R. Rubio. J. Geom. Anal. 27 (2017), 65-78.
Complete Spacelike Hypersurfaces in Generalized Robertson Walker and the Null Convergence Condition, Calabi-Bernstein problems J. A. Aledo, R. Rubio, J. J. Salamanca. RACSAM 111 (2017), 115-128.
Gradient Schrödinger operators, manifolds with density and applications J. M. Espinar. J. Math. Anal. Appl. 455 (2017), 1505-1528.
Improper affine spheres and the Hessian one equation A. Martínez, F. Milán. Differential Geom. Appl. 54 (2017), 81-90.
Embeddedness of spheres in homogeneous three-manifolds W. H. Meeks, P. Mira, J. Pérez. Int. Math. Res. Notices 2017 (2017), 4796-4813. Year 2016: Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes J. A. Aledo, R. Rubio. J. Geom. Phys. 104 (2016), 128-136.
On the scalar curvature of spacelike hypersurfaces in Generalized Robertson Walker spacetimes J. A. Aledo, R. Rubio. Diff. Geom. Appl. 44 (2016), 17-29.
A Bernstein Problem in Warped Products J. A. Aledo, R. Rubio. Ann. Acad. Sci. Fenn. Math. 41 (2016), 1-7.
Parabolicity of minimal graphs in Riemannian warped products and rigidity theorems J. A. Aledo, R. Rubio. Nonlinear Anal. 141 (2016), 130-138.
Halfspace type Theorems for Self-Shrinkers M. P. Cavalcante, J. M. Espinar. Bull. London Math. Soc. 48 (2016), 242-250.
Isolated singularities of graphs in warped products and Monge-Ampère equations J. A. Gálvez, A. Jiménez, P. Mira. J. Diff. Equations 260 (2016), 2163-2189.
A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov. J. A. Gálvez, P. Mira. Math. Ann. 366 (2016), 909-928.A class of surfaces related to a problem posed by Élie Cartan A. Martínez, P. Roitman. Annali Mat. Pura Applicata. 195 (2016), 513-527. Year 2015: Existence and uniqueness of standard static splitting J. A. Aledo, A. Romero, R. Rubio. Class. Quantum Gravity 32 (2015), 105004 (9pp).
The classical Calabi-Bernstein problem revisited J. A. Aledo, A. Romero, R. Rubio. J. Math. Anal. Appl. 431 (2015), 1172-1177.
Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products J. A. Aledo, R. Rubio. Adv. Math. Phys. (2015), 761302 (5pp).
Hypersurfaces in hyperbolic space with support function V. Bonini, J. M. Espinar, J. Qing. Adv. Math, 280 (2015), 506-548.
The Gauss map of surfaces in PSL2(R) B. Daniel, I. Fernández, P. Mira. Calc. Var. & PDEs 52 (2015), 507-528.
A classification of isolated singularities of ellipitic Monge-Ampere equations in dimension two J. A. Gálvez, A. Jiménez, P. Mira. Comm. Pure Appl. Math. 68 (2015), 2085-2107.
Geometric barriers for the existence of hypersurfaces with prescribed curvatures in MxR J. A. Gálvez, V. Lozano. Calc. Var. & PDEs 54 (2015), 2407-2419.
Complete Surfaces with Ends of Non Positive Curvature J. A. Gálvez, A. Martínez, J. L. Teruel. Adv. Math. 281 (2015), 1202-1215.
Complete Surfaces with Non Positive Extrinsic Curvature in H^3 and S^3 J. A. Gálvez, A. Martínez, J. L. Teruel. J. Math. Anal. Appl. 430 (2015), 1058-1064.
Complete surfaces with negative extrinsic curvature in M^2xR J. A. Gálvez, J. L. Teruel. J. Math. Anal. Appl. 423 (2015), 538-546.
The Geometric Cauchy Problem for the Hyperbolic Hessian One Equation A. Martínez, F. Milán. Nonlinear Anal. 125 (2015), 323-333.
Ribaucour type transformations for the Hessian one equation A. Martínez, F. Milán, K. Tenenblat. Nonlinear Anal. 112 (2015), 147-155.
A connection between flat fronts in hyperbolic space and minimal surfaces in euclidean space A. Martínez, P. Roitman, K. Tenenblat. Ann. Glob. Ann. Geom. 48 (2015), 233-254. Year 2014: Upper and lower bounds for the volume of a compact spacelike hypersurface in a Generalized Robertson-Walker spacetime J. A. Aledo, A. Romero, R. Rubio. Int. J. Geom. Meth. Modern Physics 11 (2014), 1450006, 10 pp.
Estimates for the curvatures of spacelike hypersurfaces in gradient conformally stationary spacetimes J. A. Aledo, A. Romero, R. Rubio. Classical Quantum Gravity 31 (2014), 085015, 15 pp.
Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems J. A. Aledo, A. Romero, R. Rubio. Nonlinear Anal. 106 (2014), 57-69.
Ribaucour transformations for flat surfaces in the hyperbolic 3-space A. Corro, A. Martínez, K. Tenenblat. J. Math. Anal. Appl. 412 (2014), 720-743.
On the Generalized Weyl Problem for Flat Metrics in the Hyperbolic 3-space J. A. Gálvez, A. Martínez, J. L. Teruel. J. Math. Anal. Appl. 410 (2014), 144-150.
Flat fronts in hyperbolic 3-space with prescribed singularities A. Martínez, F. Milán. Ann. Global Anal. Geom. 46 (2014), 227-239.
Some Geometric Aspects of the Hessian One Equation, Real and Complex Submanifolds Martínez, F. Milán. Springer Proceedings in Mathematics & Statistics 106, (2014), 155-165.
Isoperimetric domains of large volume in homogeneous three-manifolds W. H. Meeks, P. Mira, J. Pérez, A. Ros. Adv. Math. 264 (2014), 546-592.
The Cauchy problem for indefinite improper affine spheres and their Hessian equation F. Milán. Adv. Math. 251 (2014), 22-34. Year 2013: Harmonic mappings and conformal minimal immersions of Riemann surfaces into Rn A. Alarcón, I. Fernández and F. J. López. Calc. Var. & PDEs 47 (2013), 227-242.
Complete Laguerre minimal surfaces in R^3 J. A. Aledo, J. A. Gálvez, V. Lozano. Nonlinear Anal. 92 (2013), 1-12.
Existence and uniqueness of constant mean curvature spheres in Sol3 B. Daniel, P. Mira. J. Reine Angew. Math. 685 (2013), 1-32.
Finite index operators on surfaces J. M. Espinar. J. Geom. Anal. 23 (2013), 415-437.
Locally convex surfaces immersed in a Killing submersion J. M. Espinar, I. S. Oliveira. Bull. Braz. Math Soc., 44 (2013), 1-17.
Surfaces of constant curvature in R3 with isolated singularities J. A. Gálvez, L. Hauswirth, P. Mira. Adv. Math. 241 (2013), 103-126.
Existence of barriers for surfaces with prescribed curvatures in M^2xR J. A. Gálvez, V. Lozano. J. Diff. Equations 255 (2013), 1828-1838.
Teoría afín de curvas planas A. Martínez, F. Milán, I. Val. Gaceta de la RSME 16 (2013), 271-281.
Helicoidal flat surfaces in the hyperbolic 3-space A. Martínez, J. P. dos Santos, K. Tenenblat. Pacific J. Math. 264 (2013), 195-211.
Singularities of improper affine maps and their Hessian equation F. Milán. J. Math. Anal. Appl. 405 (2013), 183-190.
Year 2012: Complete minimal surfaces and harmonic functions A. Alarcón, I. Fernández, F. J. López. Comm. Math. Helvetici 87 (2012), 891–904.
Rigidity of stable cylinders in three-manifolds J. M. Espinar. Proc. Am. Math. Soc. 140 (2012), 1769-1775.
When locally convex hypersurfaces are embedded J. M. Espinar, H. Rosenberg. Math. Z. 271(2012), 1075-1090.
The geometric Neumann problem for the Liouville equation J. A. Gálvez, A. Jiménez and P. Mira. Calc. Var. & PDEs 44 (2012) 577-599.
Geometric PDEs in the presence of isolated singularities J. A. Gálvez and P. Mira. Contemporary Math. 570 (2012), 1-24.
The Liouville equation in an annulus A. Jiménez. J. Nonlinear Anal. 75 (2012) 2090-2097. Year 2011: Complete minimal surfaces in R3 with a prescribed coordinate function A. Alarcón and I. Fernández. Differential Geom. Appl. 29 (2011) 9-15
Proper harmonic maps from hyperbolic Riemann surfaces into the Euclidean plane A. Alarcón and J. A. Gálvez. Results Math. 60 (2011) 487-505.
An extension of the affine Bernstein problem J. A. Aledo, A. Martínez and F. Milán. Results Math. 60 (2011) 157-174
Invariant conformal metrics on S^n J. M. Espinar. Trans. Am. Math. Soc. 363 (2011) 5649-5661.
A Colding-Minicozzi stability inequality and its applications J. M. Espinar and H. Rosenberg. Trans. Am. Math. Soc. 363 (2011) 2447-2465.
Complete constant mean curvature surfaces in homogeneous spaces J. M. Espinar and H. Rosenberg. Comm. Math. Helvetici 86 (2011) 659-674.
The space of Lorentzian flat tori in anti de Sitter 3-space M. A. León-Guzmán, P. Mira and J. A. Pastor. Trans. Am. Math. Soc. 363 (2011) 6549-6573. Year 2010: On the scalar curvature of hypersurfaces in spaces with a Killing field A. L. Albujer, J. A. Aledo and L. J. Alías. Adv. Geom. 10 (2010) 487-503.
The Codazzi equation for surfaces J. A. Aledo, J. M. Espinar and J. A. Gálvez. Adv. Math. 224 (2010) 2511-2530.
Compact surfaces with constant Gaussian curvature in product spaces J. A. Aledo, V. Lozano and J. A. Pastor. Mediterranean J. Math. 7 (2010) 263-270.
Hypersurfaces in hyperbolic Poincaré manifolds and conformally invariant PDEs V. Bonini, J. M. Espinar and J. Qing. Proc. Am. Math. Soc. 11 (2010) 4109-4117.
Complete flat surfaces with two isolated singularities in hyperbolic 3-space A. V. Corro, A. Martínez and F. Milán. J. Math. Anal. Appl. 366 (2010) 582-592.
A correspondence for isometric immersions into product spaces and its applications J. M. Espinar, J. A. Gálvez and H. Rosenberg. Milan J. Math. 78 (2010) 279-288.
The extrinsic curvature of entire minimal graphs in H2xR J. M. Espinar, M. Rodríguez and H. Rosenberg. Indiana Univ. Math. J. 59 (2010) 875-890.
Fatou's theorem and minimal graphs J. M. Espinar and H. Rosenberg. J. Math. Pure Appl. 93 (2010) 436-448.
The number of conformally equivalent maximal graphs I. Fernández. J. Geom. Anal. 20 (2010) 955-969.
A correspondence for isometric immersions into product spaces and its applications J. A. Gálvez, A. Jiménez and P. Mira. J. Geom. Phys. 60 (2010) 1819-1832.
Isometric immersions of R2 into R4 and pertubation of Hopf tori J. A. Gálvez and P. Mira. Math. Z. 266 (2010) 207-227.
Minimal Surfaces and Harmonic Diffeomorphisms from the Complex Plane onto a Hadamard Surface J. A. Gálvez and H. Rosenberg. Amer. J. Math. 132 (2010) 1249-1273.
Constant mean curvature surfaces in 3-dimensional Thurston geometries I. Fernández and P. Mira. Invited contribution to the Proceedings of ICM 2010. Year 2009: A D'Alembert formula for flat surfaces in the 3-sphere J. A. Aledo, J. A. Gálvez and P. Mira. J. Geom. Anal. 19 (2009) 211-232.
The affine Cauchy problem J. A. Aledo, A. Martínez and F. Milán. J. Math. Anal. Appl. 351 (2009) 70-83.
Non-removable singularities of a fourth order partial differential equation J. A. Aledo, A. Martínez and F. Milán. J. Diff. Equations 247 (2009) 331-343.
Affine maximal surfaces with singularities J. A. Aledo, A. Martínez and F. Milán. Results Math. 56 (2009) 91-107
J. M. Espinar, J. A. Gálvez and P. Mira. J. Eur. Math. Soc. 11 (2009) 903-939.
Complete surfaces with positive extrinsic curvature in product spaces J. M. Espinar, J. A. Gálvez and H. Rosenberg. Comm. Math. Helvetici 84 (2009) 351-386.
Complete Constant Mean Curvature surfaces and Bernstein type Theorems in MxR J. M. Espinar and H. Rosenberg. J. Diff. Geom. 82 (2009) 611-628.
Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space I. Fernández and P. Mira Trans. Am. Math. Soc. 361 (2009) 5737-5752.
Surfaces of constant curvature in 3-dimensional space forms J. A. Gálvez. Mat. Contemp. 37 (2009) 1-42.
The Liouville equation in a half-plane J. A. Gálvez and P. Mira. J. Diff. Equations 246 (2009) 4173-4187. Year 2008: Height estimates for surfaces with positive constant mean curvature in M2xR J. A. Aledo, J. M. Espinar and J. A. Gálvez. Illinois Math. J. 52 (2008) 203-211.
Totally umbilical disks and applications to surfaces in three dimensional homogeneous spaces J. M. Espinar and I. Fernández. Mat. Contemp. 35 (2008) 41-60.
The Bonnet problem for surfaces in homogeneous 3-manifolds J. A. Gálvez, A. Martínez and P. Mira. Comm. Anal. Geom. 16 (2008) 907-935.
The Lawson correspondence for Bryant surfaces in explicit coordinates J. A. Gálvez and P. Mira. Mat. Contemp. 35 (2008) 61-72. Year 2007: The Cauchy Problem for Improper Affine Spheres and the Hessian One Equation J. A. Aledo, R. M. B. Chaves and J. A. Gálvez Trans. Am. Math. Soc. 359 (2007) 4183-4208.
Surfaces with constant curvature in M2xR. Height estimates and representation J. A. Aledo, J. M. Espinar and J. A. Gálvez Bull. Braz. Math. Soc. 38 (2007) 533-554.
Hyperbolic Linear Weingarten Surfaces in R3 J. A. Aledo and J. M. Espinar Bull. Braz. Math. Soc. 38 (2007) 291-300.
A Conformal Representation for Linear Weingarten Surfaces in the de Sitter Space J. A. Aledo and J. M. Espinar J. Geom. Phys. 57 (2007) 1669-1677.
Complete surfaces of constant curvature in H2xR and S2xR J. A. Aledo, J. M. Espinar and J. A. Gálvez Calc. Var. & PDEs 29 (2007) 347-363.
Spacelike Surfaces with Positive Definite Second Fundamental Form in 3D Spacetimes J. A. Aledo, S. Haensen and A. Romero J. Geom. Phys. 57 (2007) 913-923.
A characterization of constant mean curvature surfaces in homogeneous 3-manifolds I. Fernández and P. Mira Diff. Geom. Appl. 25 (2007) 281-289.
Harmonic maps and constant mean curvature surfaces in H2xR I. Fernández and P. Mira Amer. J. Math. 129 (2007) 1144-1181.
Complete maximal surfaces in static Robertson-Walker 3-spaces I. Fernández and P. Mira Gen. Relativ. Gravit. 39 (2007) 2073-2077.
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