%0 Journal Article %T Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems %A Monica Clapp %A Yanheng Ding %A Sergio Hernandez-Linares %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X 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. %K Critical point theory %K perturbation of symmetries %K elliptic systems %K strongly indefinite functionals %K multiple solutions %K critical Sobolev exponent. %U http://ejde.math.txstate.edu/Volumes/2004/100/abstr.html