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Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systemsKeywords: Critical point theory , perturbation of symmetries , elliptic systems , strongly indefinite functionals , multiple solutions , critical Sobolev exponent. 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.
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