Nonsolvability of the asymptotic Dirichlet problem for the \(p\)-Laplacian on Cartan-Hadamard manifolds

DOI10.1515/acv-2014-0043zbMath1342.58011OpenAlexW2332053169MaRDI QIDQ267817

Ilkka Holopainen

Publication date: 11 April 2016

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2014-0043

zbMATH Keywords

Dirichlet problemCartan-Hadamard manifold\(p\)-harmonic function

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (2)

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

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