Topological Methods for Variational Problems with Symmetries

Language: English

Published by Springer Berlin Heidelberg Nov 1993, 1993

354057378X / 9783540573784

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -Symmetry has a strong impact on the number and shape ofsolutions to variational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear wave equation; whenone is interested in elliptic equations on symmetric domainsor in the corresponding semiflows; and when one is lookingfor 'special' solutions of these problems.This book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant functionals.These topological methods are developed in detail with newcalculations of the equivariant Lusternik-Schnirelmanncategory and versions of the Borsuk-Ulam theorem for verygeneral classes of symmetry groups. The Morse-Conley theoryis applied to bifurcation problems, in particular to thebifurcation of steady states and hetero-clinic orbits ofO(3)-symmetric flows; and to the existence of periodicsolutions nearequilibria of symmetric Hamiltonian systems.Some familiarity with the usualminimax theory and basicalgebraic topology is assumed. 168 pp. Englisch.

Seller Inventory # 9783540573784

Title
Topological Methods for Variational Problems with Symmetries
Author
Thomas Bartsch
Publisher
Springer Berlin Heidelberg Nov 1993
Publication year
1993
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
354057378X
ISBN 13
9783540573784
Item weight
265 grams
Dimensions
235x155x10 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany