A nonlinear elliptic problem involving the gradient on a half space

A. Aghajani, C. Cowan, S. H. Lui

We consider perturbations of the diffusive Hamilton-Jacobi equation \begin{equation*} %\label{non_pert} \left\{ \begin{array}{lcl} \hfill -Δu &=& (1+g(x))| \nabla u|^p\qquad \mbox{…