Minimax theorems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1996
|
| Series: | Progress in nonlinear differential equations and their applications
24 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 159 S. |
| ISBN: | 0817639136 3764339136 9780817639136 |
Staff View
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| 245 | 1 | 0 | |a Minimax theorems |c Michel Willem |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1996 | |
| 300 | |a VIII, 159 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
1 Mountain pass theorem 7
1.1 Differentiable functionals 7
1.2 Quantitative deformation lemma 11
1.3 Mountain pass theorem 12
1.4 Semilinear Dirichlet problem 14
1.5 Symmetry and compactness 16
1.6 Symmetric solitary waves 18
1.7 Subcritical Sobolev inequalities 20
1.8 Non symmetric solitary waves 23
1.9 Critical Sobolev inequality 26
1.10 Critical nonlinearities 32
2 Linking theorem 37
2.1 Quantitative deformation lemma 37
2.2 Ekeland variational principle 39
2.3 General minimax principle 41
2.4 Semilinear Dirichlet problem 43
2.5 Location theorem 49
2.6 Critical nonlinearities 50
3 Fountain theorem 55
3.1 Equivariant deformation 55
3.2 Fountain theorem 56
3.3 Semilinear Dirichlet problem 58
3.4 Multiple solitary waves 60
3.5 A dual theorem 65
3.6 Concave and convex nonlinearities 67
3.7 Concave and critical nonlinearities 68
viii CONTENTS
4 Nehari manifold 71
4.1 Definition of Nehari manifold 71
4.2 Ground states 71
4.3 Properties of critical values 74
4.4 Nodal solutions 76
5 Relative category 81
5.1 Category 81
5.2 Relative category 82
5.3 Quantitative deformation lemma 86
5.4 Minimax theorem 89
5.5 Critical nonlinearities 90
6 Generalized linking theorem 95
6.1 Degree theory 95
6.2 Pseudogradient flow 97
6.3 Generalized linking theorem 100
6.4 Semilinear Schrodinger equation 102
7 Generalized Kadomtsev Petviashvili equation 109
7.1 Definition of solitary waves 109
7.2 Functional setting 110
7.3 Existence of solitary waves 112
7.4 Variational identity 114
8 Representation of Palais Smale sequences 117
8.1 Invariance by translations 117
8.2 Symmetric domains 124
8.3 Invariance by dilations 125
8.4 Symmetric domains 132
Appendix A : Superposition operator 133
Appendix B : Variational identities 135
Appendix C : Symmetry of minimizers 139
Appendix D : Topological degree 145
Bibliography 153
Index of Notations 161
Index 162
|
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| indexdate | 2024-07-09T18:02:06Z |
| institution | BVB |
| isbn | 0817639136 3764339136 9780817639136 |
| language | English |
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| physical | VIII, 159 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in nonlinear differential equations and their applications |
| series2 | Progress in nonlinear differential equations and their applications |
| spelling | Willem, Michel Verfasser aut Minimax theorems Michel Willem Boston [u.a.] Birkhäuser 1996 VIII, 159 S. txt rdacontent n rdamedia nc rdacarrier Progress in nonlinear differential equations and their applications 24 Maximums et minimums ram Physique mathématique ram Problèmes aux limites ram Mathematische Physik Boundary value problems Mathematical physics Maxima and minima Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Minimax-Theorem (DE-588)4135131-9 gnd rswk-swf Minimax-Theorem (DE-588)4135131-9 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Progress in nonlinear differential equations and their applications 24 (DE-604)BV007934389 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007350960&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Willem, Michel Minimax theorems Progress in nonlinear differential equations and their applications Maximums et minimums ram Physique mathématique ram Problèmes aux limites ram Mathematische Physik Boundary value problems Mathematical physics Maxima and minima Partielle Differentialgleichung (DE-588)4044779-0 gnd Minimax-Theorem (DE-588)4135131-9 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4135131-9 |
| title | Minimax theorems |
| title_auth | Minimax theorems |
| title_exact_search | Minimax theorems |
| title_full | Minimax theorems Michel Willem |
| title_fullStr | Minimax theorems Michel Willem |
| title_full_unstemmed | Minimax theorems Michel Willem |
| title_short | Minimax theorems |
| title_sort | minimax theorems |
| topic | Maximums et minimums ram Physique mathématique ram Problèmes aux limites ram Mathematische Physik Boundary value problems Mathematical physics Maxima and minima Partielle Differentialgleichung (DE-588)4044779-0 gnd Minimax-Theorem (DE-588)4135131-9 gnd |
| topic_facet | Maximums et minimums Physique mathématique Problèmes aux limites Mathematische Physik Boundary value problems Mathematical physics Maxima and minima Partielle Differentialgleichung Minimax-Theorem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007350960&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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