A boundary value problem in  the hyperbolic space

P.  Amster; G.  Keilhauer; M. C. Mariani

doi:10.1155/S1085337599000251

Abstract and Applied Analysis (Jan 1999)

A boundary value problem in the hyperbolic space

P. Amster,
G. Keilhauer,
M. C. Mariani

Affiliations

P. Amster: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, Argentina
G. Keilhauer: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, Argentina
M. C. Mariani: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, Argentina

DOI: https://doi.org/10.1155/S1085337599000251
Journal volume & issue: Vol. 4, no. 4
pp. 249 – 253

Abstract

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We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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