an:03946700
Zbl 0589.35004
Rabinowitz, Paul H.
Multiple critical points of perturbed symmetric functionals
EN
Trans. Am. Math. Soc. 272, 753-769 (1982).
00147177
1982
j
35A15 35J20 35B20
Variational problems; multiple solutions; perturbations
Summary: Variational problems which are invariant under a group of symmetries often possess multiple solutions. This paper studies the effect of perturbations which are not small and which destroy the symmetry for two classes of such problems and shows how multiple solutions persist despite the perturbation.