2 papers
math.DG2026
Differential Harnack Estimates for the Filtration Equations on Riemannian Manifolds via Nash--Moser Iteration
Jian-Hua Hao, Yu-Zhao Wang
We prove local differential Harnack estimates for smooth positive solutions of the Filtration Equations on complete Riemannian manifolds in uniformly parabolic ranges.…
math.DG2026
Gradient estimates and Liouville theorems for the \(Φ\)-Laplacian equations on Riemannian manifolds
Yu-Zhao Wang, Jian-Hua Hao
This paper establishes gradient estimates and Liouville-type theorems for the \(Φ\)-Laplacian equation \(Î_Φ(u) = G(|\nabla u|^2)\) on complete Riemannian manifolds and its para…