Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces

Abstract

Abstract In this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple solutions. Our approach is based on variational methods.

Keywords

• Orlicz–Sobolev spaces
• Kirchhoff-type problems
• Variational methods
• Infinitely many solutions