Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data

Marie-Françoise Bidaut-Véron, Quoc-Hung Nguyen, Laurent Veron

We study the equation --div(A(x, u)) = g(x, u, u) + $\mu$ where $\mu$ is a measure and either g(x, u, u) $\sim$ |u| q 1 u||u| q 2 or g(x, u, u) $\sim$ |u| s 1 u + ||u| s 2. We give suf…