A note on the existence results for Schrodinger-Maxwell system with super-criticalnonlinearitie

Abstract

The paper considers the Schrodinger-Maxwell system with supercritical nonlinearitie. We prove the existence of at least one non-trivial weak solution. This result is already known for the subcritical case. In this paper, we extend it to the supercritical values of p as well. We use a new variational principle to prove our result.