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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… mais…

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Topological methods for variational problems with symmetries. Lecture notes in mathematics ; Vol. 1560 - Bartsch, Thomas,
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Topological methods for variational problems with symmetries. Lecture notes in mathematics ; Vol. 1560 - Livro de bolso

1993, ISBN: 354057378X

[EAN: 9783540573784], [SC: 9.0], [PU: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer], VARIATIONSPROBLEM ; SYMMETRIE KRITISCHER PUNK… mais…

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Bartsch, Thomas:
Topological Methods for Variational Problems with Symmetries (Lecture Notes in Mathematics 1560) - Livro de bolso

1993

ISBN: 9783540573784

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Topological Methods for Variational Problems with Symmetries - Thomas Bartsch
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Thomas Bartsch:
Topological Methods for Variational Problems with Symmetries - Livro de bolso

ISBN: 9783540573784

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Topological Methods for Variational Problems with Symmetries - Bartsch, Thomas
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Bartsch, Thomas:
Topological Methods for Variational Problems with Symmetries - nuovo livro

1993, ISBN: 354057378X

1993 Kartoniert / Broschiert Mathematische Analysis, allgemein, Topologie, Algebraictopology; dynamicalsystems; Bifurcationtheory; Variationalproblems; Criticalpointtheory; Equivariantt… mais…

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Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author
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9783540573784


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.

Dados detalhados do livro - Topological Methods for Variational Problems with Symmetries Thomas Bartsch Author


EAN (ISBN-13): 9783540573784
ISBN (ISBN-10): 354057378X
Livro de capa dura
Livro de bolso
Ano de publicação: 1993
Editor/Editora: Springer Berlin Heidelberg Core >1 >T
168 Páginas
Peso: 0,264 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-05-15T21:24:46-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-07T08:39:30-03:00 (Sao Paulo)
Número ISBN/EAN: 9783540573784

Número ISBN - Ortografia alternativa:
3-540-57378-X, 978-3-540-57378-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: greiner, bärtsch, bartsch thomas, lusternik
Título do livro: symmetries, variational methods, lecture notes mathematics

Dados da editora

Autor: Thomas Bartsch
Título: Lecture Notes in Mathematics; Topological Methods for Variational Problems with Symmetries
Editora: Springer; Springer Berlin
158 Páginas
Ano de publicação: 1993-11-29
Berlin; Heidelberg; DE
Língua: Inglês
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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