Implicit equations involving the $p$-Laplace operator

Greta Marino, Andrea Paratore

In this work we study the existence of solutions $u\in W_0^{1,p}(\Omega )$ to the implicit elliptic problem $f(x,u,\nabla u,{\Delta }_{p}u)=0$ in $\Omega$, where $\Omega$ is a bounded domain in $ \…