Accession Number : ADA181751
Title : On Perturbations of Z sub 2 Symmetric Functionals.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Benci,Vieri ; Rabinowitz,Paul H.
Report Date : FEB 1987
Pagination or Media Count : 21
Abstract : Let E be a real Banach space and I epsilon C squared (E,R). Such functionals which are invariant under a group of symmetries and satisfy further technical assumptions possess multiple critical points other than those due to the symmetry itself. This paper studies the question of what happens when the functional is subjected to a small perturbation which destroys the symmetry. Keywords: Critical value; Index Theory, Minimax.
Descriptors : *BANACH SPACE, *FUNCTIONAL ANALYSIS, PERTURBATIONS, SYMMETRY, INVARIANCE, MINIMAX TECHNIQUE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE