4 papers · 1 filter
Finite time blow-up and global solutions for the viscoelastic wave equation with combined power-type nonlinearities
Haiyang Lin, Jinqi Yan, Bo You +1
The main objective of this manuscript is to investigate the global behavior of the solutions to the viscoelastic wave equation with a linear memory term of Boltzmann type, and a no…
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 $$-Δ_p^H u=-\operatorname{div}(a(\nabla u))=f(u),\quad\text{in }\mathbb{R}^n,…
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…
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…