\(L^p\)-Liouville theorems on complete smooth metric measure spaces

DOI10.1016/j.bulsci.2013.07.002zbMath1295.53030arXiv1305.0616OpenAlexW3104642605WikidataQ124840512 ScholiaQ124840512MaRDI QIDQ2453523

Jia-Yong Wu

Publication date: 10 June 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0616

zbMATH Keywords

Harnack inequalityLiouville theoremBakry-Émery Ricci curvature\(f\)-Laplacian\(f\)-heat kernel

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (16)

Heat kernel on smooth metric measure spaces and applications ⋮ Weighted \(p\)-harmonic functions and rigidity of smooth metric measure spaces ⋮ Vanishing theorems for \(f\)-harmonic forms on smooth metric measure spaces ⋮ Liouville-type theorems on the complete gradient shrinking Ricci solitons ⋮ Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications ⋮ Uniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds ⋮ A Liouville theorem for weightedp−Laplace operator on smooth metric measure spaces ⋮ Unnamed Item ⋮ The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy ⋮ LIOUVILLE PROPERTY FOR <i>f</i>-HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH ⋮ Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation ⋮ Liouville type results for two-sided hypersurfaces in weighted Killing warped products ⋮ Elliptic gradient estimates for a nonlinear heat equation and applications ⋮ Heat kernel on smooth metric measure spaces with nonnegative curvature ⋮ Gradient estimates for a weighted nonlinear parabolic equation and applications ⋮ Elliptic gradient estimates for a weighted heat equation and applications

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