Gradient estimates for the 𝑝-Laplacian Lichnerowicz equation on smooth metric measure spaces

DOI10.1090/proc/13997zbMath1401.58008OpenAlexW2890995468MaRDI QIDQ4691365

Liang Zhao, Dengyun Yang

Publication date: 23 October 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13997

zbMATH Keywords

gradient estimatepositive solutions\(p\)-Laplacian

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)

Related Items (7)

Gradient estimates for weighted \(p\)-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds ⋮ Gradient estimates for a nonlinear elliptic equation under geometric flow ⋮ Gradient estimates for the weighted Lichnerowicz equation on smooth metric measure spaces ⋮ Gradient estimates and Liouville theorems for Lichnerowicz equations ⋮ Gradient estimate for solutions of the equation \(\Delta_p v +av^q=0\) on a complete Riemannian manifold ⋮ Gradient estimates for positive weak solution to \(\Delta_p u + au^\sigma = 0\) on Riemannian manifolds ⋮ On the \(p\)-Laplacian Lichnerowicz equation on compact Riemannian manifolds

Cites Work

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• Generalized scalar curvature type equations on compact Riemannian manifolds
• Liouville Theorem for Lichnerowicz Equation on Complete Noncompact Manifolds
• Lower bound estimates for the first eigenvalue of the weighted \(p\)-Laplacian on smooth metric measure spaces

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