Existence results for an anisotropic variable exponent Kirchhoff-type problem

Abstract

This paper deals with a class of anisotropic variable exponent Kirchhoff-type problems. Under appropriate assumptions on the Kirchhoff function and the nonlinear terms, the existence of multiple solutions is obtained by using the sub-supersolution method and the mountain pass theorem.

Keywords:

• Anisotropic operator
• variable exponents
• Kirchhoff-type problems
• sub-supersolution method

AMS SUBJECT CLASSIFICATIONS:

• 35B38
• 35D30
• 35J60

Acknowledgments

The author would like to thank the anonymous referees for their valuable suggestions and comments that improved the presentation of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).