Genival da Silva

A $p$-Laplacian Schr\"odinger--Maxwell system with rapidly growing nonlinearities

Let $\Omega\subset\R^N$, $N\ge2$, be a bounded domain and let $1<p<\infty$. Inspired by the exponential case treated in \cite{BO2026}, we study the quasilinear Schr\"odinger--Maxwell system \[ \begin{cases} -\Delta_p u+\psi G'(u)=f&\text{in }\Omega,\\ -\Delta_p\psi=G(u)&\text{in }\Omega,\\ u=\psi=0&\text{on }\partial\O...