A sharp gradient estimate for the weighted \(p\)-Laplacian

DOI10.1007/s11766-012-2829-4zbMath1289.53093OpenAlexW2040693597MaRDI QIDQ376842

Lin-Feng Wang, Yue Ping Zhu

Publication date: 19 November 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2829-4

zbMATH Keywords

gradient estimateHarnack inequalityLiouville theoremweighted \(p\)-Laplacian

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Upper bounds on the first eigenvalue for the \(p\)-Laplacian ⋮ Liouville type theorems for nonlinear \(p\)-Laplacian equation on complete noncompact Riemannian manifolds ⋮ A Liouville theorem for weightedp−Laplace operator on smooth metric measure spaces ⋮ Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces

Cites Work

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• The inverse mean curvature flow and \(p\)-harmonic functions
• The upper bound of the \({{\text L}_{\mu}^2}\) spectrum
• Some geometric properties of the Bakry-Émery-Ricci tensor
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Complete manifolds with positive spectrum. II.
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula

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