| 书目名称 | Topological Methods for Variational Problems with Symmetries |
| 编辑 | Thomas Bartsch |
| 视频video | http://file.papertrans.cn/927/926391/926391.mp4 |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Symmetry has a strong impact on the number and shape ofsolutions tovariational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear waveequation; 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 withLusternik-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 symmetrygroups. The Morse-Conley theoryis applied to bifurcation problems, inparticular 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. |
| 出版日期 | Book 1993 |
| 关键词 | Algebraic topology; Dynamical systems; bifurcation theory; critical point theory; equivariant topology; m |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0073859 |
| isbn_softcover | 978-3-540-57378-4 |
| isbn_ebook | 978-3-540-48099-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1993 |
|Archiver|手机版|小黑屋|
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