Existence of bound states for non-local fourth-order Kirchhoff systems

Document Type : Research Paper


Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran


This paper is concerned with existence of three solutions for non-local fourth-order Kirchhoff systems with Navier boundary conditions. Our technical approach is based on variational methods and the theory of the variable exponent Sobolev spaces.