PREPRINTS  AND PUBLICATIONS

Topologie, courbure et structure conforme sur les surfaces (with Eric Toubiana). (eBook: RG-open access). DOI: 10.13140/RG.2.1.3623.1769. Click here.         

Existence Serrin type results for the Dirichlet problem for the prescribed mean curvature equation in Riemannian manifolds (with Yunelsy N.Alvarez). arXiv : 1902.10774. Click here.

Sharp solvability criteria for Dirichlet problems of mean curvature type in Riemannian manifolds : non-existence results (with Yunelsy N. Alvarez).  arXiv: 1902.08662 [Math DG].   Click here.     

A reflection principle for minimal surfaces in smooth three manifolds (with Eric Toubiana). Improved version with a new application in the smooth setting. arXiv : 1711.00759v2.  Click here.

Classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces (with Eric Toubiana). arXiv: 1809.0532 [Math DG]. Click here.    
 Minimal Graphs in Nil3 : existence and non-existence results (with Barbara Nelli and Eric Toubiana). Calculus of Variations & PDE, 56, 2, 2017. DOI: 10.1007/s00526-017-1123-y. Click here.

 Uniform a priori estimates for a class of horizontal minimal equation,  Mathematische  Nachrichten, 290, 2-3, 415-434, 2017. DOI: 10.1002/mana.201500090. Click here.

Concentration of total curvature of minimal surfaces in H2×R (with Eric Toubiana).  Mathematische Annalen. DOI:  10.1007/s00208-016-1508-9. Click here

Minimal hypersurfaces in Hn×R, total curvature and index (with Pierre Bérard). Bollettino dell'Unione Matematica Italiana, 9, 3, 341-342. 2016. DOI: 10.1007/s40574-015-0050-0. Click here.

A minimal stable vertical planar end in H2 × R has finite total curvature (with Eric Toubiana).  Journal of the London Mathematical Society, 92, 3, 712- 723. 2015. Click here. DOI: 10.1112/jlms/jdv044

A Schoen theorem for minimal surfaces in H2 × R (with Barbara Nelli, Laurent Hauswirth and Eric Toubiana).  Advances in Mathematics 274, 199-240, 2015. DOI: 10.1016/j.aim.2014.12.030. Click here.

Constructions of Hr - hypersurfaces, barriers and Alexandrov Theorem in Hn × R (with Maria Fernanda Elbert). Annali di Matematica Pura ed Applicata, 194:1809–1834, 2015.  DOI: 10.1007/s10231-014-0446-y.    

 Click here.

Maximum principle and symmetry for minimal hypersurfaces in Hn × R (with Barbara Nelli and Eric Toubiana). Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,  XIV, 2, 387-400, 2015. Click here. DOI:

 10.2422/2036-2145.201211_004.

All solutions of the CMC-equation in Hn × R invariant by parabolic screw motion (with Maria Fernanda Elbert).  Annali di Matematica Pura ed Applicata 193, 1, 103-114, 2014. DOI: 10.1007/s10231-012-0268-8.Click  

 here.

Uniqueness of minimal surfaces whose boundary is a horizontal graph and some Bernstein problems in H2 × R. Mathematische. Zeitschrift 273, 1, 211-217, 2013. DOI: 10.1007/s00209-012-1001-4. Click here.

Existence of vertical ends of mean curvature 1/2 in H2 × R (with Barbara Nelli and Maria Fernanda Elbert).  Transactions of the American. Mathematical Society. 364, 3, 1179-1191, 2012. DOI: S0002- 9947

 (2011)05361- 4. Click here.

Minimal graphs in Hn × R and Rn+1 (with Eric Toubiana). hal-00411528,arXiv:0908.4170v2 [DG].  Annales de l'Institut Fourier 60, 7, 2373-2402, 2010. DOI: S 0002-9939(2010)10492-6. Click here.

Lindelöf's theorem for hyperbolic catenoids (with Pierre Bérard): hal-00429404v1.  Proceedings of the American Mathematical Society 138, 10, 3657-3657, 2010. DOI: S 0002-9939(2010)10492-6.  Click here

Lindelöf's theorem for catenoids revisited (with Pierre Bérard): hal-00407395v1, arXiv-0907.4294v1 [DG].Click here.

A Halfspace Theorem for Mean Curvature H=1/2 in H2 × R  (with Barbara Nelli). Journal of Mathematical Analysis and Applications 365, 167-170, 2010. DOI: 10.1016/j.jmaa.2009.10.031.Click here.

Examples of H-hypersurfaces in Hn × R and geometric applications (with Pierre Bérard).  Matemática Contemporânea  34, 19-51, 2008.  Click here.

An asymptotic theorem for minimal surfaces and existence results for minimal graphs in  H2 × R (with Eric Toubiana), Mathematische Annalen 342, 309-331, 2008. DOI: 10.1007/s00208-008-0237-0.   Click here.

Parabolic and hyperbolic screw motion  surfaces in  H2 × R. Click here. Journal of the Australian Math. Society 85, 113-143,  2008. DOI: 10.1017/S1446788708000013.

Associate and Conjugate Minimal Immersions in M2× R (with Laurent Hauswirth and Eric Toubiana).  Tohoku Mathematical Journal 60, 267-286, 2008. Click here.

Uniqueness of H-surfaces in H2×R, H≤ ½, with boundary one or two parallel horizontal circles (with Barbara Nelli, Walcy Santos and  Eric Toubiana).  Click here.   Annals of Global Analysis and Geometry 33, 307–321, 2008. DOI:10.1007/s10455-007-9087-3.

Screw Motions Surfaces in H2 × R and in S2 × R (with Eric Toubiana).  Click here.  Illinois Journal of Mathematics 49, 4, 1323-1362, 2005.

A note on surfaces with prescribed oriented Euclidean Gauss map (with Eric Toubiana).  International Journal of Mathematics and Mathematical Sciences 2005.

Existence and non-existence for a mean Curvature equation in hyperbolic space (with Elias. Marion Guio).  Comunication on Pure and Applied Analysis     (CPAA), 4, N.3, 549-568, 2005. Errata corrige to Existence and non-existence for a mean curvature equation in hyperbolic space: CPAA, 7 N.2, 465, 2008. Click here.

 

Older Preprints and Publications

A Note on Special Surfaces in R3 (with Eric Toubiana, 1993). Click here.

Sur les Surfaces de Weingarten Spéciales de Type Minimale (with Eric Toubiana, 1995 ). Click here.

Some Properties of Hypersurfaces of Prescribed Mean Curvature in Hn+1(with Barbara Nelli, 1996). Click here.

Special Weingarten Surfaces with Boundary a Round Circle (with Fabiano Braga Brito, 1997). Click here.

Symmetry of Properly Embedded Special Weingarten Surfaces in H3 (with Eric Toubiana, 1999). Click here.

Classification des Surfaces Speciales de Revolutions de Type Delaunay (with Eric Toubiana, 1999). Click here.

Some Applications of Maximum Principle to Hypersurfaces in Euclidean and Hyperbolic Space (with Eric Toubiana, 1999). Click here.

Existence  and Uniqueness of Minimal Graphs in Hyperbolic Space (with Eric Toubiana, 2000). Click here.

On the Geometry of Constant Mean Curvature One Surfaces in Hyperbolic Space (with Eric Toubiana, 2001). Click here.

Discrete and non-discrete isometric deformations of surfaces in R3 (with Eric Toubiana, 2002). Click here.

 

 

 

 

 

 

 

 

 

 

 

 

 

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