arXiv:1910.02499 Abstract | arXiv Analytics

arXiv:1910.02499 [math.AP]Abstract References Reviews Resources

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

Published 2019-10-06Version 1

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.

Categories: math.AP

Subjects: 35J60, 35B33, 46E30

Keywords: ground state solution, singular exponential nonlinearities, kirchhoff-schrodinger equations, singular adams inequality, variational techniques

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