On the existence of a Green's function on a manifold
From MaRDI portal
Publication:3329824
DOI10.1070/RM1983v038n01ABEH003400zbMath0542.35025OpenAlexW2020548342MaRDI QIDQ3329824
Publication date: 1983
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm1983v038n01abeh003400
Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items
Geometrical and topological aspects of electrostatics on Riemannian manifolds, Transience of diffusions on Heisenberg and Grushin distributions, Existence of bound states for layers built over hypersurfaces in \(\mathbb R^{n+1}\), Potential theory for manifolds with boundary and applications to controlled mean curvature graphs, On the conservativeness and the recurrence of symmetric jump-diffusions, Weighted \(L^2\) harmonic 1-forms and the topology at infinity of complete noncompact weighted manifolds, Quasilinear Laplace equations and inequalities with fractional orders, Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold, Volume growth, Green's functions, and parabolicity of ends, A note on Liouville type theorem of elliptic inequality \(\delta u+u^\sigma\leqslant 0\) on Riemannian manifolds, Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space, Hardy inequalities on Riemannian manifolds and applications, Growth of weighted volume and some applications
