Existence of solutions for nonlocal elliptic systems with nonstandard growth conditions

Abstract

This article concerns the existence and multiplicity of solutions for a p(x)-Kirchhoff-type systems with Dirichlet boundary condition. By a direct variational approach and the theory of the variable exponent Sobolev spaces, under growth conditions on the reaction terms, we establish the existence and multiplicity of solutions.

Keywords

• Variational method
• nonlinear elliptic systems
• nonlocal condition