Ground state solution for a class of supercritical nonlocal equations with variable exponent

Abstract

In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply our results to the supercritical Schrödinger–Poisson type systems and supercritical Kirchhoff type equations with variable exponent, respectively.

Keywords

• schrödinger–poisson type system
• kirchhoff type equations
• supercritical exponent
• variational method