The ground state solution for Kirchhoff-Schrodinger equations with singular exponential nonlinearities in R^4

Abstract

In this paper, we consider Kirchhoff-Schrodinger equations with singular exponential nonlinearities in R^4,using singular Adams inequality and variational techniques, we get the existence of ground state solutions. Moreover, we also get the same results without the Ambrosetti-Rabinowitz (AR) condition.