Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds

DOI10.1134/S0012266117120072zbMath1397.35075OpenAlexW2792953457WikidataQ115250804 ScholiaQ115250804MaRDI QIDQ1709670

Peng Zhang

Publication date: 6 April 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117120072

zbMATH Keywords

Dirichlet problemPoisson equationparabolic manifoldmetric horns

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on manifolds (35R01)

Related Items (7)

Eigenfunctions of the Laplace operator and harmonic functions on model Riemannian manifolds ⋮ On the solvability of boundary value problems for the inhomogeneous Schrödinger equation on model Riemannian manifolds ⋮ Boundary-value problems for the inhomogeneous Schr"odinger equation with variations of its potential on non-compact Riemannian manifolds ⋮ Asymptotic behavior of solutions of the Dirichlet problem for the Poisson equation on model Riemannian manifolds ⋮ Solvability of boundary value problems for Poisson's equation in unbounded domains on noncompact Riemannian manifolds ⋮ On solvability of the boundary value problems for the inhomogeneous elliptic equations on noncompact Riemannian manifolds ⋮ On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form

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