Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients

Colette De Coster, Antonio J. Fernández

Let $\Omega \subset {\mathbb{R}}^N$, $N\ge 2$, be a smooth bounded domain. We consider the boundary value problem \begin{equation} \label{Plambda-Abstract-ch3} \tag{$P_{\lambda }$} -Δu = c_λ(x) u…