The Poisson equation on complete manifolds with positive spectrum and applications

DOI10.1016/j.aim.2009.08.003zbMath1181.58014arXiv0811.1200OpenAlexW2035953807MaRDI QIDQ1043493

Ovidiu Munteanu, Natasa Sesum

Publication date: 9 December 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1200

zbMATH Keywords

harmonic mapHermitian-Einstein metricPoisson equationcomplete manifold

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Elliptic equations and elliptic systems (35J99)

Related Items (10)

Poisson equation on complete manifolds ⋮ Volume growth and Bernstein theorems for translating solitons ⋮ The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity ⋮ 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 the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds ⋮ Unnamed Item ⋮ Kobayashi–Hitchin correspondence for analytically stable bundles ⋮ The Poisson equation on manifolds with positive essential spectrum

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