Positive Solutions for the p-Laplacian with Dependence on the Gradient

Hamilton Bueno, Grey Ercole, Wenderson Ferreira +1

We prove a result of existence of positive solutions of the Dirichlet problem for $-{\Delta }_{p}u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $\Omega \subset {\mathbb{R}}^N$, where ${\Delta }_p$ is the…