Mixed local and nonlocal Schrodinger-Poisson type system involving variable exponents

Abstract

We consider the existence of solutions for a class of Schrodinger-Poisson type equations with mixed local and nonlocal p-Laplacian. More precisely, we obtain two distinct nontrivial solutions for the problem involving variable exponents growth by the variational methods. Moreover, the phenomena of concentration and multiplicity of solutions are also investigated as \(\lambda\to \infty\).