Rigidity results for the p‐Laplace type equations on compact Riemannian manifolds

DOI10.1002/mma.9568arXiv1904.02568OpenAlexW4385242127MaRDI QIDQ6152680

Unnamed Author, Yu-Zhao Wang, Huiting Zhang

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02568

zbMATH Keywords

rigidity\(p\)-Laplaciannonlinear flow\(p\)-Bochner formula

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
• Onofri inequalities and rigidity results
• The concavity of \(p\)-entropy power and applications in functional inequalities
• Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator
• Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
• Nonlinear flows and rigidity results on compact manifolds
• Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
• Analysis and Geometry of Markov Diffusion Operators
• Gradient estimates and entropy monotonicity formula for doubly nonlinear diffusion equations on Riemannian manifolds

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