3 papers
math.AP2025
Liouville theorems for anisotropic -Laplace equations with a semilinear term
Weizhao Liang, Tian Wu, Jin Yan
In this paper, we investigate Liouville theorems for solutions to the anisotropic -Laplace equation $$-Î_p^H u=-\operatorname{div}(a(\nabla u))=f(u),\quad\text{in }\mathbb{R}^n…
math.AP2025
Neumann Problems for Elliptic and Parabolic Sum Hessian Equations
Weizhao Liang, Jin Yan, Hua Zhu
This paper studies the Neumann boundary value problem for sum Hessian equations. We first derive a priori estimates for -admissible solutions in almost convex and unif…
math.AP2025
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions
Weizhao Liang, Jin Yan, Hua Zhu
In this paper, we primarily study the Pogorelov-type estimates for -convex solutions of the sum Hessian equation under the assumption of semi-convexity, and apply thes…