Refined gradient bounds, Poisson equations and some applications to open Kähler manifolds

DOI10.4310/AJM.2003.v7.n3.a4zbMath1110.53057OpenAlexW2625777649MaRDI QIDQ1769394

Qi S. Zhang, Bun Wong

Publication date: 21 March 2005

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244898

zbMATH Keywords

Poisson equationStein manifoldsPoincaré-Lelong equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Isoperimetric inequality from the poisson equation via curvature ⋮ Poisson equation on some complete noncompact manifolds ⋮ Time analyticity of the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations ⋮ Gradient estimate for solutions to Poisson equations in metric measure spaces ⋮ On the existence of solutions of Poisson equation and Poincaré-Lelong equation ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients ⋮ Complete open Kähler manifolds with nonnegative bisectional curvature and non-maximal volume growth ⋮ A uniqueness result of Kähler Ricci flow with an application

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