Gradient estimates of a nonlinear elliptic equation for the $V$-Laplacian on noncompact Riemannian manifolds

DOI10.55730/1300-0098.3159zbMath1496.58008OpenAlexW4286609385WikidataQ115159239 ScholiaQ115159239MaRDI QIDQ5102183

Deng YiHua

Publication date: 6 September 2022

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

Full work available at URL: https://doi.org/10.55730/1300-0098.3159

zbMATH Keywords

Riemannian manifoldsgradient estimatesBakry-Émery Ricci curvature\(V\)-Laplacian

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09)

Cites Work

• Gradient estimates and Harnack inequalities of a nonlinear parabolic equation for the \(V\)-Laplacian
• Harnack estimates for nonlinear backward heat equations in geometric flows
• Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• Liouville type theorems of a nonlinear elliptic equation for the \(V\)-Laplacian
• Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow
• Gradient estimates of a nonlinear elliptic equation for the \(V\)-Laplacian
• Elliptic gradient estimates for a weighted heat equation and applications
• Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
• Sharp gradient estimates for a heat equation in Riemannian 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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