Notes on existence of solutions for degenerate quasilinear elliptic equations (Q714614)

The authors prove the existence of solutions for the quasilinear problem \[ \begin{cases} -\mathrm{div}(A(x,u,\nabla u))=f(x)g(u),~&\mathrm{a. e. in } \Omega,\\ u =0, &\mathrm{on } \partial\Omega,\end{cases} \] where \(\Omega \subset \mathbb{R}^N\) is a bounded domain. The proof is based on the Leray-Schauder fixed point theorem.