A new local gradient estimate for a nonlinear equation under integral curvature condition on manifolds

DOI10.2140/pjm.2020.306.755zbMath1450.58009OpenAlexW3043141226MaRDI QIDQ785751

Shouwen Fang, Liang Zhao

Publication date: 10 August 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2020.306.755

zbMATH Keywords

gradient estimatenonlinear equationintegral curvature

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09)

Cites Work

• Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
• Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds
• A uniform bound for the solutions to a simple nonlinear equation on Riemannian manifolds
• Local Sobolev constant estimate for integral Ricci curvature bounds
• Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds
• Harnack inequality for parabolic Lichnerowicz equations on complete noncompact Riemannian manifolds
• Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
• Differential Harnack estimates for a nonlinear heat equation
• Gradient estimates for a simple parabolic Lichnerowicz equation
• Li-Yau gradient bound for collapsing manifolds under integral curvature condition
• Liouville Theorem for Lichnerowicz Equation on Complete Noncompact Manifolds
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

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