On Perturbations of Z sub 2 Symmetric Functionals.

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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA181751

Entities

People

  • Paul Rabinowitz
  • Vieri Benci

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Satellites