Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation |
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Authors: | Nedir do Espí rito-Santo,Jaime Ripoll, |
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Affiliation: | a UFRJ, Instituto de Matemática, Caixa Postal 68530, 21941-909 Rio de Janeiro, RJ, Brazil;b UFRGS, Instituto de Matemática, Av. Bento Gonçalves 9500, 91540-000 Porto Alegre, RS, Brazil |
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Abstract: | It is proved the existence of solutions to the exterior Dirichlet problem for the minimal hypersurface equation in complete noncompact Riemannian manifolds either with negative sectional curvature and simply connected or with nonnegative Ricci curvature under a growth condition on the sectional curvature. |
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