Infinitely Many Solutions of Elliptic Problems With Perturbed Symmetries in Symmetric Domains
- Resource Type
- Authors
- Eric Hernández-Martínez; Mónica Clapp
- Source
- Advanced Nonlinear Studies. 6:309-322
- Subject
- 010101 applied mathematics
Pure mathematics
General Mathematics
010102 general mathematics
Homogeneous space
Statistical and Nonlinear Physics
0101 mathematics
01 natural sciences
Mathematics
- Language
- ISSN
- 2169-0375
1536-1365
We study superlinear elliptic boundary value problems with perturbed symmetries in domains which are invariant under the action of a group G. We give conditions on the growth of the nonlinearity which guarantee the existence of infinitely many G-invariant solutions. These conditions improve those obtained by Bahri and Lions (1988) and Bolle, Ghoussoub and Tehrani (2000) if the domain contains a G-orbit of large enough dimension.