2 papers
math.AP2024
Quantitative stratification and sharp regularity estimates for supercritical semilinear elliptic equations
Haotong Fu, Wei Wang, Zhifei Zhang
In this paper, we investigate the interior regularity theory for stationary solutions of the supercritical nonlinear elliptic equation $$ -Δu=|u|^{p-1}u\quad\text{in }Ω,\quad p>\fr…
math.AP2023
Nonlinear stability of entropy waves for the Euler equations
Wei Wang, Zhifei Zhang, Wenbin Zhao
In this article, we consider a class of the contact discontinuity for the full compressible Euler equations, namely the entropy wave, where the velocity is continuous across the in…