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Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author
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ISBN: 9783540573784

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 system… Plus…

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Topological methods for variational problems with symmetries. Lecture notes in mathematics ; Vol. 1560 - Livres de poche

1993, ISBN: 354057378X

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Topological Methods for Variational Problems with Symmetries (Lecture Notes in Mathematics 1560) - Livres de poche

1993

ISBN: 9783540573784

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Topological Methods for Variational Problems with Symmetries - nouveau livre

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Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author

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.

Informations détaillées sur le livre - Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author


EAN (ISBN-13): 9783540573784
ISBN (ISBN-10): 354057378X
Version reliée
Livre de poche
Date de parution: 1993
Editeur: Springer Berlin Heidelberg Core >1 >T
168 Pages
Poids: 0,264 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-05-16T02:24:46+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-07T12:39:30+01:00 (Zurich)
ISBN/EAN: 9783540573784

ISBN - Autres types d'écriture:
3-540-57378-X, 978-3-540-57378-4
Autres types d'écriture et termes associés:
Auteur du livre: greiner, bärtsch, bartsch thomas, lusternik
Titre du livre: symmetries, variational methods, lecture notes mathematics


Données de l'éditeur

Auteur: Thomas Bartsch
Titre: Lecture Notes in Mathematics; Topological Methods for Variational Problems with Symmetries
Editeur: Springer; Springer Berlin
158 Pages
Date de parution: 1993-11-29
Berlin; Heidelberg; DE
Langue: Anglais
26,70 € (DE)
27,45 € (AT)
36,07 CHF (CH)
Available
X, 158 p.

BC; Hardcover, Softcover / Mathematik/Geometrie; Algebraische Topologie; Verstehen; Algebraic topology; Dynamical systems; bifurcation theory; critical point theory; equivariant topology; minimum; variational problems; Algebraic Topology; Analysis; Manifolds and Cell Complexes; Mathematische Analysis, allgemein; Topologie; EA

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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9783540480990 Topological Methods for Variational Problems with Symmetries (Josef Kittler)


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