Topological Methods for Variational Problems with Symmetries - Couverture souple

Bartsch, Thomas

 
9783540573784: Topological Methods for Variational Problems with Symmetries
Couverture souple
ISBN 10 : 354057378X ISBN 13 : 9783540573784
Editeur : Springer, 2009

Synopsis

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 corresponding semiflows; and when one is looking for "special" solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
354057378X
ISBN 13 
9783540573784
Reliure
Broché
Nombre de pages
168
Coordonnées du fabricant
non disponible
Personne responsable
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