On the existence of solutions of Poisson equation and Poincaré-Lelong equation

DOI10.1007/s00229-006-0026-6zbMath1101.58022OpenAlexW2062406440WikidataQ125946891 ScholiaQ125946891MaRDI QIDQ2505569

Xu-Qian Fan

Publication date: 26 September 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0026-6

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (2)

Poisson equation on some complete noncompact manifolds ⋮ Poincaré–Lelong equation via the Hodge–Laplace heat equation

Cites Work

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• Refined gradient bounds, Poisson equations and some applications to open Kähler manifolds
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
• The heat equation and harmonic maps of complete manifolds
• Poisson equation on some complete noncompact manifolds
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Poisson equation and Hermitian-Einstein metrics on vector bundles over complete noncompact Kahler manifolds

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