Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems

Abstract

We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely many solutions of non-symmetric super-quadratic noncooperative elliptic systems, allowing some supercritical growth.

Keywords

• Critical point theory
• perturbation of symmetries
• elliptic systems
• strongly indefinite functionals
• multiple solutions
• critical Sobolev exponent.