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…