The Dirichlet problem at infinity for nonpositively curved manifolds

DOI10.4310/CAG.1993.v1.n1.a5zbMath0782.58046MaRDI QIDQ1261728

Shiu-Yuen Cheng

Publication date: 6 March 1994

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemLaplace operatorsphere at infinity

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Boundary value problems on manifolds (58J32)

Related Items (11)

Dirichlet problem at infinity for \(\mathcal A\) -harmonic functions ⋮ On the solvability of boundary value problems for the inhomogeneous Schrödinger equation on model Riemannian manifolds ⋮ The Dirichlet problem at infinity on Hadamard manifolds ⋮ On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold ⋮ Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds ⋮ Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds ⋮ Asymptotic Dirichlet problem for \(\mathcal {A}\)-harmonic functions on manifolds with pinched curvature ⋮ Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces ⋮ Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures ⋮ Asymptotic Dirichlet problem for the Schrödinger operator via rough isometry ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation

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