Existence and multiplicity of solutions for a class of superlinear elliptic systems

Abstract

In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.

Keywords

• elliptic systems
• critical points
• variational methods
• 35j50
• 35b38
• 47j30