Gradient estimates and Liouville type theorems for a weighted nonlinear \(p\)-Laplacian equation on compact smooth metric measure spaces

Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09)

Cites Work

Yau's gradient estimates for a nonlinear elliptic equation
Rigidity of quasi-Einstein metrics
Gradient estimates for a weighted nonlinear elliptic equation and Liouville type theorems
Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation
Comparison geometry for the Bakry-Emery Ricci tensor
Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
Gradient estimates and Liouville type theorems for a nonlinear elliptic equation
A Liouville-type theorem for smooth metric measure spaces
Gradient estimates and entropy formulae for weighted \(p\)-heat equations on smooth metric measure spaces
Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces
Gradient estimates and Liouville type theorems for \((p-1)^{p-1}\Delta_pu+au^{p-1}\log u^{p-1}=0\) on Riemannian manifolds
Harmonic functions on complete riemannian manifolds
Differential equations on riemannian manifolds and their geometric applications
Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds
Logarithmic Harnack inequalities and gradient estimates for nonlinear \(p\)-Laplace equations on weighted Riemannian manifolds
Liouville type theorems for nonlinear \(p\)-Laplacian equation on complete noncompact Riemannian manifolds

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