The regularity of a semilinear elliptic system with quadratic growth of gradient

Weiyong He, Ruiqi Jiang

In this paper, we study semilinear elliptic systems with critical nonlinearity of the form \begin{equation}\label{sys01} Δu=Q(x, u, \nabla u), \end{equation} for $u: \mathbb{R}^n\r…