**Rotational hypersurfaces of prescribed mean curvature**

with A. Bueno and J.A. Gálvez

Preprint (February, 2019)

**Rotational hypersurfaces of prescribed mean curvature**

with A. Bueno and J.A. Gálvez

Preprint (February, 2019)

**Serrin’s overdetermined problem for fully nonlinear non-elliptic equations**

with J.A. Gálvez

Preprint (January, 2019)

**Rotational symmetry of Weingarten spheres in homogeneous three-manifolds**

with J.A. Gálvez

Preprint (July, 2018)

**The global geometry of surfaces with prescribed mean curvature in R^3**

with A. Bueno and J.A. Gálvez

Preprint (February, 2018)

**Constant mean curvature spheres in homogeneous three-manifolds**

with W.H. Meeks, J. Pérez and A. Ros

Preprint (June, 2017)

**Uniqueness of immersed spheres in three-manifolds**

with J.A. Gálvez

*J. Differential Geometry*, to appear.

**Constant mean curvature spheres in homogeneous three-spheres**

with W.H. Meeks, J. Pérez and A. Ros

Preprint (August, 2013)

**The geometry of stable minimal surfaces in metric Lie groups**

with W.H. Meeks and J. Pérez

*Trans. Amer. Math. Soc.*, to appear.

**Isolated singularities of the prescribed mean curvature equation in Minkowski 3-space**

with J.A. Gálvez and A. Jiménez

*Ann. I. H. Poincaré*,**35**(2018), 1631–1644.

**Overdetermined elliptic problems in topological disks**

*J. Differential Equations*,**264**(2018), 6994–7005.

**Embeddedness of spheres in homogeneous three-manifolds**

with W.H. Meeks and J. Pérez.

*Int. Math. Res. Notices*,**2017**(2017), 4796–4813.

**A Hopf theorem for non-constant mean curvature and a conjecture of A.D. Alexandrov**

with J.A. Gálvez

*Math. Ann.***366**(2016), 909-928.

**Isolated singularities of graphs in warped products and Monge-Ampère equations**

with J.A. Gálvez and A. Jiménez

*J. Differential Equations*,**260**(2016), 2163-2189.

**A classification of isolated singularities of elliptic Monge-Ampère equations in dimension two**

with J.A. Gálvez and A. Jiménez

*Comm. Pure Appl. Math*.**68**(2015), 2085-2107.

**The Gauss map of surfaces in PSL(2,R)**

with B. Daniel and I. Fernandez

*Cal. Var. Partial Diff. Equations*,**52**(2015), 507–528.

**Isoperimetric domains of large volume in homogeneous three-manifolds**

with W.H. Meeks, J. Pérez and A. Ros

*Adv. Math.***264**(2014), 546–592.

**Surfaces of constant curvature in R^3 with isolated singularities**

with J.A. Gálvez and L. Hauswirth

*Adv. Math*.**241**(2013) 103-126.

**Existence and uniqueness of constant mean curvature spheres in Sol_3**

with B. Daniel

*J. Reine Angew. Math.*,**685**(2013), 1-32.

**The geometric Neumann problem for the Liouville equation**

with J.A. Gálvez and A. Jiménez

*Cal. Var. Partial Diff. Equations*,**44**(2012), 577–599.

**Geometric PDEs in the presence of isolated singularities**

with J.A. Gálvez

*Contemporary Mathematics*,**570**(2012), 1-24.

**Constant mean curvature surfaces in 3-dimensional Thurston geometries**

with I. Fernández

Invited contribution to the*Proceedings of ICM 2010.*See this link for the slides of our invited conference there.

**The space of Lorentzian flat tori in anti de Sitter 3-space**

with M.A. León-Guzmán and J.A. Pastor

*Trans. Amer. Math. Soc.*,**363**(2011), 6549-6573.

**A correspondence for isometric immersions into product spaces and its applications**

with J.A. Gálvez and A. Jimenez

*J. Geom. Phys.***60**(2010), 1819-1832.

**Isometric immersions of R^2 into R^4 and perturbation of Hopf tori.**

with J.A Gálvez

*Math. Z.*,**266**(2010), 207-227.

**The Liouville equation in a half-plane**

with J.A Gálvez

*J. Differential Equations***246**(2009), 4173-4187.

**Hypersurfaces in H^{n+1} and conformally invariant equations: the generalized Christoffel and Nirenberg problems**

with J.M. Espinar and J.A. Gálvez

*J. Eur. Math. Soc.***11**(2009), 903-939.

**A D’Alembert formula for flat surfaces in the 3-sphere**

with J.A. Aledo and J.A. Gálvez

*J. Geom. Anal.***19**(2009), 211-232.

**Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space**

with I. Fernández

*Trans. Amer. Math. Soc.***361**(2009), 5737-5752.

**The Lawson correspondence for Bryant surfaces in explicit coordinates**

with J.A. Gálvez

*Mat. Contemp.*,**35**(2008), 61-72.

**The Bonnet problem for surfaces in homogeneous 3-manifolds.**

with J.A. Gálvez and A. Martínez

*Comm. Anal. Geom.***16**(2008), 907-935.

**Harmonic maps and constant mean curvature surfaces in H^2xR**

with I. Fernández

*Amer. J. Math.*,**129**(2007), 1145-1181.

**Complete maximal surfaces in static Robertson-Walker 3-spaces**

with I. Fernández

*Gen. Relativ. Gravit.*,**39**(2007), 2073-2077.

**A characterization of constant mean curvature surfaces in homogeneous 3-manifolds**

with I. Fernández

*Diff. Geom. Appl.*,**25**(2007), 281-289.

**Isometric immersions of L^2 into L^4**

with J.A. Aledo and J.A. Gálvez

*Diff. Geom. Appl.*,**24**(2006), 613-627.

**Complete minimal Mobius strips in R^n and the Björling problem**

*J. Geom. Phys.***56**(2006), 1506-1515.

**Marginally trapped surfaces in L^4 and an extended Weierstrass-Bryant representation**

with J.A. Aledo and J.A. Gálvez

*Ann. Global Anal. Geom.***28**(2005), 395 – 415.

**The space of solutions to the Hessian one equation in the finitely punctured plane**

with J.A. Gálvez and A. Martinez

*J. Math. Pures Appl.***84**(2005), 1744-1757.

**Embedded isolated singularities of flat surfaces in hyperbolic 3-space**

with J.A. Gálvez

*Cal. Var. Partial Diff. Equations***24**(2005), 239-260.

**The Cauchy problem for the Liouville equation and Bryant surfaces**

with J.A Gálvez

*Adv. Math.***195**(2005), 456-490.

**An alternative proof of the Bryant representation**

with J.A. Gálvez

Proceedings of the IX Conference on Differential Geometry and its Applications, Matfizpress, Prague (2005), 151-155.

**Dense solutions to the Cauchy problem for minimal surfaces**

with J.A Gálvez

*Bull. Braz. Math. Soc.***35**(2004), 387-394.

**Bjorling representation for spacelike surfaces with H=cK in L^3**

with J.A. Aledo and J.A. Gálvez

*Pub. de la RSME.***8**(2004), 57-62.

**Helicoidal maximal surfaces in Lorentz-Minkowski space**

with J.A. Pastor

*Monatsh. Math.***140**(2003), 315-334.

**Björling problem for maximal surfaces in Lorentz-Minkowski space**

with L.J. Alías and R.M.B. Chaves

*Math. Proc. Cambridge Philos. Soc.***134**(2003), 289-316.

**A Schwarz-type formula for minimal surfaces in Euclidean space R^n**

with L.J. Alías

*C.R. Acad. Sci. Paris, Ser. I***334**(2002), 389-394.

**A characteristic property of the catenoid, Differential geometry, Valencia 2001, World Sci**

Publishing, River Edge, NJ (2002), 217-221.

**Construction of maximal surfaces in the Lorentz-Minkowski space, Geometry, Integrability and Quantization III, I.M**

with Mladenov and G. Naber

(eds.) Coral Press, Sofia (2001), 337-350.