Existence and nonexistence of ground state solutions for a Schrödinger–Poisson–Slater equation

Abstract

In this article, we are concerned with the Schrödinger–Poisson–Slater equation where , , p>1, q>1, . By using the Nehari–Pohozaev manifold, we obtain the existence and nonexistence of ground state solutions results, depending on the parameters p and q. Our results extends some recent work in the literature.