Geodesic
Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a193,
     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},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a193/}
}
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%J Electronic Journal of Differential Equations
%D 2004
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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__a193/