2 papers
math.AP2026
Global and local properties of solutions of elliptic equations with a nonlinear term involving the product of the function and its gradient
Zhihao Lu
We study the global and local properties of positive solutions to the quasi-linear elliptic equation: \d u+|\nabla u|^q u^p=0,\quad x\in Ø\subset \mathbb{R}^n,\nonumber where $q\ge…
math.AP2023
Gradient estimate and Universal bounds for semilinear elliptic equations on RCD(K,N) metric measure spaces
Zhihao Lu
We derive logarithmic gradient estimate and universal boundedness estimate for semilinear elliptic equations on \RCD\, metric measure spaces, which contains the class of Riemannian…