<電子ブック>
Topological Methods for Variational Problems with Symmetries / by Thomas Bartsch
(Lecture Notes in Mathematics. ISSN:16179692 ; 1560)
版 | 1st ed. 1993. |
---|---|
出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1993 |
大きさ | X, 158 p : online resource |
著者標目 | *Bartsch, Thomas author SpringerLink (Online service) |
件 名 | LCSH:Algebraic topology LCSH:Mathematical analysis LCSH:Manifolds (Mathematics) FREE:Algebraic Topology FREE:Analysis FREE:Manifolds and Cell Complexes |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/BFb0073859 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783540480990 |
|
電子リソース |
|
EB00210543 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA612-612.8 DC23:514.2 |
書誌ID | 4000109499 |
ISBN | 9783540480990 |
類似資料
この資料の利用統計
このページへのアクセス回数:6回
※2017年9月4日以降