Topological methods for variational problems with symmetries /

Topological methods for variational problems with symmetries /

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Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the...

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Bibliographic Details
Main Author: Bartsch, Thomas, 1958- (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Berlin ; New York : Springer-Verlag, ©1993
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993
Series:Lecture Notes in Mathematics, 1560
Lecture notes in mathematics (Springer-Verlag) ; 1560
Subjects:
Algebraic topology
Calculus of variations
Cell aggregation > Mathematics
Critical point theory (Mathematical analysis)
Global analysis (Mathematics)
Symmetry groups
Bifurcation
Catégorie Ljusternik-Schnirelman
G-espace
Indice Conley
Longueur
Problème variationnel
Solution périodique
Symétrie
Système hamiltonien
Topologie équivariante
Calcul des variations
Groupes symétriques
Points critiques, Théorie des (Analyse mathématique)
Cell aggregation
Groupes, Théorie des > Symétriques
Point critique
Algebraic Topology
Algebraïsche topologie
Globale analyse
Analysis
Manifolds and Cell Complexes (incl. Diff.Topology)
Electronic books
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Table of Contents:
  • Category, genus and critical point theory with symmetries
  • Category and genus of infinite-dimensional representation spheres
  • The length of G-spaces
  • The length of representation spheres
  • The length and Conley index theory
  • The exit-length
  • Bifurcation for O(3)-equivariant problems
  • Multiple periodic solutions near equilibria of symmetric Hamiltonian systems

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