JournalsaihpcVol. 28, No. 3pp. 385–393

Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation

  • Nedir do Espírito-Santo

    UFRJ, Instituto de Matemática, Caixa Postal 68530, 21941-909 Rio de Janeiro, RJ, Brazil

  • Jaime Ripoll

    UFRGS, Instituto de Matemática, Av. Bento Gonçalves 9500, 91540-000 Porto Alegre, RS, Brazil
Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation cover
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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.

Cite this article

Nedir do Espírito-Santo, Jaime Ripoll, Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 3, pp. 385–393

DOI 10.1016/J.ANIHPC.2011.02.007