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

TL;DR

This paper establishes the existence of ground state solutions for Kirchhoff-Schrodinger equations with singular exponential nonlinearities in four-dimensional space, using advanced inequalities and variational methods, even without the AR condition.

Contribution

It introduces new existence results for these equations without relying on the traditional Ambrosetti-Rabinowitz condition.

Findings

Existence of ground state solutions proven

Results obtained using singular Adams inequality

Solutions found without AR condition

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.