Nonlinear degenerate elliptic partial differential equations with critical growth conditions on the gradient
Kwon Cho, Hi Jun Choe · Proceedings of the American Mathematical Society · 1995
We consider a nonlinear degenerate elliptic partial differential equation $- {\operatorname {div}}(| abla u{|^{p - 2}} abla u) = H(x,u, abla u)$ with the critical growth condition on $H(x,u, abla u) \leq g(x) + | abla u{|^p}$, where