Minimax Theorems / by Michel Willem
(Progress in Nonlinear Differential Equations and Their Applications ; 24)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Boston, MA : Birkhäuser Boston , 1996 |
| 本文言語 | 英語 |
| 大きさ | X, 165 p : online resource |
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| 内容注記 | 1 Mountain pass theorem 1.1 Differentiable functionals 1.2 Quantitative deformation lemma 1.3 Mountain pass theorem 1.4 Semilinear Dirichlet problem 1.5 Symmetry and compactness 1.6 Symmetric solitary waves 1.7 Subcritical Sobolev inequalities 1.8 Non symmetric solitary waves 1.9 Critical Sobolev inequality 1.10 Critical nonlinearities 2 Linking theorem 2.1 Quantitative deformation lemma 2.2 Ekeland variational principle 2.3 General minimax principle 2.4 Semilinear Dirichlet problem 2.5 Location theorem 2.6 Critical nonlinearities 3 Fountain theorem 3.1 Equivariant deformation 3.2 Fountain theorem 3.3 Semilinear Dirichlet problem 3.4 Multiple solitary waves 3.5 A dual theorem 3.6 Concave and convex nonlinearities 3.7 Concave and critical nonlinearities 4 Nehari manifold 4.1 Definition of Nehari manifold 4.2 Ground states 4.3 Properties of critical values 4.4 Nodal solutions 5 Relative category 5.1 Category 5.2 Relative category 5.3 Quantitative deformation lemma 5.4 Minimax theorem 5.5 Critical nonlinearities 6 Generalized linking theorem 6.1 Degree theory 6.2 Pseudogradient flow 6.3 Generalized linking theorem 6.4 Semilinear Schrödinger equation 7 Generalized Kadomtsev-Petviashvili equation 7.1 Definition of solitary waves 7.2 Functional setting 7.3 Existence of solitary waves 7.4 Variational identity 8 Representation of Palais-Smale sequences 8.1 Invariance by translations 8.2 Symmetric domains 8.3 Invariance by dilations 8.4 Symmetric domains Appendix A: Superposition operator Appendix B: Variational identities Appendix C: Symmetry of minimizers Appendix D: Topological degree Index of Notations |
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| 著者標目 | *Willem, Michel author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Game theory FREE:Mathematics FREE:Applications of Mathematics FREE:Game Theory, Economics, Social and Behav. Sciences |
| 分 類 | DC23:519 |
| 巻冊次 | ISBN:9781461241461 
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| ISBN | 9781461241461 |
| URL | http://dx.doi.org/10.1007/978-1-4612-4146-1 |
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