Mónica Clapp, Yanheng Ding, Sergio Hernández-Linares
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.
Submitted March 12, 2004. Published August 18, 2004.
Math Subject Classifications: 35J50, 58E05.
Key Words: Critical point theory; perturbation of symmetries;
elliptic systems; strongly indefinite functionals;
multiple solutions; critical Sobolev exponent.
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Mónica Clapp Instituto de Matematicas Universidad Nacional Autonoma de Mexico Circuito Exterior, Ciudad Universitaria 04510 Mexico D.F., Mexico email: mclapp@math.unam.mx |
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| Yanheng Ding Institute of Mathematics, AMSS Chinese Academy of Sciences 100080 Beijing, China email: dingyh@math.ac.cn | |
| Sergio Hernández-Linares Departamento de Matematicas Universidad Autonoma Metropolitana - Iztapalapa Av. Michoacan y la Purisima, Col. Vicentina 09340 Mexico D.F., Mexico email: slinares@math.unam.mx |
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