Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient

Haydar Abdelhamid, Marie-Françoise Bidaut-Véron

Thanks to a change of unknown we compare two elliptic quasilinear problems with Dirichlet data in a bounded domain of ${\mathbb{R}}^N.$ The first one, of the form $-Δ_{p}u=β(u)| \n…