Clapp, MonicaDing, YanhengHernandez-Linares, Sergio2021-04-262021-04-262004-08-18Clapp, M., Ding, Y., Hernandez-Linares, S. (2004). Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems. <i>Electronic Journal of Differential Equations, 2004</i>(100), pp. 1-18.1072-6691https://hdl.handle.net/10877/13454We 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalCritical point theoryPerturbation of symmetriesElliptic systemsStrongly indefinite functionalsMultiple solutionsCritical Sobolev exponentArticle