Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems

Date

2004-08-18

Authors

Clapp, Monica
Ding, Yanheng
Hernandez-Linares, Sergio

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Critical point theory, Perturbation of symmetries, Elliptic systems, Strongly indefinite functionals, Multiple solutions, Critical Sobolev exponent

Citation

Clapp, M., Ding, Y., Hernandez-Linares, S. (2004). Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems. Electronic Journal of Differential Equations, 2004(100), pp. 1-18.

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Attribution 4.0 International

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