Access the full text.
Sign up today, get DeepDyve free for 14 days.
L. Mazet (2004)
Construction de surfaces minimales par résolution du problème de Dirichlet
Minimal vertical graphs in Heisenberg space
R Younes (2010)
Minimal Surfaces in[InlineMediaObject not available: see fulltext.]Illinois J. Math., 54
Kelmer, s/n Campus Universitário -Bairro São Pedro 36036-900 Juiz de Fora, MG BRAZIL E-mail: sofia
J. Gálvez, H. Rosenberg (2008)
Minimal surfaces and harmonic diffeomorphisms from the complex plane onto a Hadamard surfacearXiv: Differential Geometry
R. Schoen (1984)
Estimates for stable minimal surfaces in three dimensional manifolds
P. Collin, H. Rosenberg (2007)
Construction of harmonic diffeomorphisms and minimal graphsAnnals of Mathematics, 172
Benoît Daniel (2005)
Isometric immersions into 3-dimensional homogeneous manifoldsCommentarii Mathematici Helvetici, 82
B Nelli, H Rosenberg (2002)
Minimal Surfaces in ℝ2 × ℝBull. Braz. Math. Soc. (N.S.), 33
L. Mazet, M. Rodŕıguez, H. Rosenberg (2008)
The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surfaceProceedings of the London Mathematical Society, 102
J. Spruck (1972)
Infinite boundary value problems for surfaces of constant mean curvatureArchive for Rational Mechanics and Analysis, 49
AL Pinheiro (2009)
A Jenkins-Serrin Theorem in $\mathbb{M}^2 $ ×ℝBull. Braz. Math. Soc. (N.S.), 40
Peter Scott (1983)
The geometries of 3-manifoldsBulletin of The London Mathematical Society, 15
(2010)
Minimal Surfaces in ̃ PSL2(R)
Abigail Folha, Sofia Melo (2011)
The Dirichlet problem for constant mean curvature graphs in ℍ × ℝ over unbounded domainsPacific Journal of Mathematics, 251
Ana Pinheiro (2009)
A Jenkins-Serrin theorem in M 2 × R
H. Jenkins, J. Serrin (1966)
Variational problems of minimal surface type II. Boundary value problems for the minimal surface equationArchive for Rational Mechanics and Analysis, 21
C. Leandro, H. Rosenberg (2009)
Removable singularities for sections of Riemannian submersions of prescribed mean curvatureBulletin Des Sciences Mathematiques, 133
L. Hauswirth, H. Rosenberg, J. Spruck (2009)
Infinite boundary value problems for constant mean curvature graphs in ℍ2 × ℝ and S2 × ℝAmerican Journal of Mathematics, 131
We study the existence of minimal graphs in [InlineMediaObject not available: see fulltext.] with prescribed boundary data, possibly infinite. We give necessary and sufficient conditions on the “lengths” of the sides of the inscribed polygons in an unbounded domain in ℍ2, that yield solutions to the minimal surface equation with prescribed boundary data.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Apr 8, 2014
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.