Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems

DOI10.1090/S0002-9947-2014-06001-7zbMath1308.58011arXiv1301.0444OpenAlexW2963116097MaRDI QIDQ5496639

Miriam Telichevesky, Jaime Bruck Ripoll

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0444

zbMATH Keywords

Dirichlet problemminimal hypersurface\(p\)-LaplacianHadamard manifoldstrict convexity condition

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Quasilinear elliptic equations with mean curvature operator (35J93) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

The Dirichlet problem for the minimal hypersurface equation on arbitrary domains of a Riemannian manifold ⋮ An interior gradient estimate for the mean curvature equation of Killing graphs and applications ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ Complete minimal discs in Hadamard manifolds ⋮ On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation ⋮ Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation

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