Minimal surfaces in ℍ2 × ℝ

Bulletin of the Brazilian Mathematical Society

Volumn 33, Issue 2, 2002, Pages 263-292

  Nelli, Barbara ^a   Rosenberg, Harold ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

Hyperbolic plane; Minimal graph

Indexed keywords

EID: 0036667159     PISSN: 01003569     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005740200013     Document Type: Article

References (7)

1. [CM] T. H. Colding and W. P. Minicozzi. Minimal surfaces, Courant Lecture Notes in Mathematics, 4, New York University (1999).
2. [DN] M. D. Duong and V. H. Nguyen. Graphs with Prescribed Mean Curvature on Poincaré Disk, Bull. London Math. Soc. 27 (1995), 353-358.
3. [JS] H. Jenkins and J. Serrin. Variational Problems of Minimal Surface Type II. Boundary Value Problems for the Minimal Surface Equation, Arch. Rational Mech. Anal. 21(1966), 321-342.
4. [PR] R. Pedrosa and M. Ritoré. Isoperimetric Domains in the Riemannian product of a Circle with a simply connected Space Form and Applications to Free Boundary Value Problems, Indiana Univ. Math. Jour. 48 (1999), 1357-1349.
5. 2 × ℝ, to appear in Ill. Jour. of Math.
6. [Sc] R. Schoen. Estimates for Stable Minimal Surfaces in Three Dimensional Manifolds, Seminar on Minimal Submanifolds, Princeton University Press (1983), 111-126.
7. [Se] J. Serrin. A Priori Estimates for Solutions of Minimal surface Equation, Arch. Rational Mech. Anal. 14 (1963), 376-383.