Geodesic
Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 35J50, 58E05
Keywords: critical point theory, perturbation of symmetries, elliptic systems, strongly indefinite functionals, multiple solutions, critical Sobolev exponent 
@article{EJDE_2004__2004__a93,
     author = {Clapp,  M\'onica and Ding,  Yanheng and Hern\'andez-Linares,  Sergio},
     title = {Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1109.35324},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a93/}
}
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AU  - Hernández-Linares,  Sergio
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JO  - Electronic journal of differential equations
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%0 Journal Article
%A Clapp,  Mónica
%A Ding,  Yanheng
%A Hernández-Linares,  Sergio
%T Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a93/
%G en
%F EJDE_2004__2004__a93
Clapp,  Mónica; Ding,  Yanheng; Hernández-Linares,  Sergio. Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a93/