On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition

Abstract

In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak solution.

Keywords

• variational method
• p(x)-Kirchhoff-type equation
• variable exponent Lebesgue–Sobolev space
• nonlocal problems
• Ekeland variational principle