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Abstract
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Abstract and Applied Analysis
Volume 4 (1999), Issue 4, Pages 249-253
doi:10.1155/S1085337599000251

A boundary value problem in the hyperbolic space

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

Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria, Buenos Aires 1428, Argentina

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.