Asymptotic Dirichlet problem on negatively curved spaces

zbMath1202.58017MaRDI QIDQ1038537

Ilkka Holopainen, Aleksi Vähäkangas

Publication date: 18 November 2009

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemCartan-Hadamard manifold\(p\)-harmonic functionGromov hyperbolic metric space

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Boundary value problems on manifolds (58J32) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (14)

Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature ⋮ Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ Asymptotic Dirichlet problems in warped products ⋮ On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold ⋮ Translating solitons over Cartan-Hadamard manifolds ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Asymptotic Dirichlet problem for \(\mathcal {A}\)-harmonic functions on manifolds with pinched curvature ⋮ Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures ⋮ Liouville properties for 𝑝-harmonic maps with finite 𝑞-energy ⋮ Existence and non-existence of minimal graphic and p-harmonic functions ⋮ Geometric and Martin boundaries of a Cartan-Hadamard surface ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation ⋮ Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems ⋮ Dirichlet problem for \(f\)-minimal graphs

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