Abstract and Applied Analysis

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Abstract and Applied Analysis / 1999 / Article

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Volume 4 |Article ID 671289 | 5 pages | https://doi.org/10.1155/S1085337599000251

A boundary value problem in the hyperbolic space

P. Amster,1 G. Keilhauer,1 and M. C. Mariani1

1Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Argentina

Received16 Dec 1999

Abstract

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.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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