3 papers
math.AP2024
Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces
Ali Taheri, Vahideh Vahidifar
In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class o…
math.AP2023
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials
Ali Taheri, Vahideh Vahidifar
This article presents new parabolic and elliptic type gradient estimates for positive smooth solutions to a nonlinear parabolic equation involving the Witten Laplacian in the conte…
math.AP2023
Gradient estimates for nonlinear elliptic equations involving the Witten Laplacian on smooth metric measure spaces and implications
Ali Taheri, Vahideh Vahidifar
This article presents new local and global gradient estimates of Li-Yau type for positive solutions to a class of nonlinear elliptic equations on smooth metric measure spaces invol…