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.
Rights
Attribution 4.0 International