Minimax Systems and Critical Point Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Birkhäuser
2009
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| ISBN: | 9780817648053 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | CONTENTS PREFACE XI 1 CRITICAL POINTS OF FUNCTIONALS 1 1.1 INTRODUCTION
1 1.2 EXTREMA 2 1.3 PALAIS-SMALE SEQUENCES 2 1.4 CERAMI SEQUENCES 3 1.5
LINKING SETS 3 1.6 PREVIOUS DEFINITIONS OF LINKING 4 1.7 NOTES AND
REMARKS 5 2 MINIMAX SYSTEMS 7 2.1 INTRODUCTION 7 2.2 DEFINITIONS AND
THEOREMS 8 2.3 LINKING SUBSETS 9 2.4 A VARIATION 11 2.5 WEAKER
CONDITIONS 12 2.6 SOME CONSEQUENCES 13 2.7 NOTES AND REMARKS 15 3
EXAMPLES OF MINIMAX SYSTEMS 17 3.1 INTRODUCTION 17 3.2 A METHOD USING
HOMEOMORPHISMS 17 3.3 A METHOD USING METRIC SPACES 19 3.4 A METHOD USING
HOMOTOPY-STABLE FAMILIES 19 3.5 EXAMPLES OF LINKING SETS 21 3.6 VARIOUS
GEOMETRIES 24 3.7 A SANDWICH THEOREM 26 3.8 NOTES AND REMARKS 29 4
ORDINARY DIFFERENTIAL EQUATIONS 31 4.1 EXTENSIONS OF PICARD S THEOREM
31 4.2 ESTIMATING SOLUTIONS 33 4.3 EXTENDING SOLUTIONS 34
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/995114234 DIGITALISIERT
DURCH 10.5 NOTES AND REMARKS 126 VIII CONTENTS 4.4 THE PROOFS 35 4.5 AN
IMPORTANT ESTIMATE 36 5 THE METHOD USING FLOWS 39 5.1 INTRODUCTION 39
5.2 THEOREM 2.4 39 5.3 THEOREM 2.12 41 5.4 THEOREM 2.14 44 5.5 THEOREM
2.21 45 6 FINDING LINKING SETS 51 6.1 INTRODUCTION 51 6.2 THE STRONG
CASE 52 6.3 THE REMAINING PROOFS 54 6.4 NOTES AND REMARKS 56 7 SANDWICH
PAIRS 57 7.1 INTRODUCTION 57 7.2 CRITERIA 58 7.3 NOTES AND REMARKS 61 8
SEMILINEAR PROBLEMS 63 8.1 INTRODUCTION 63 8.2 BOUNDED DOMAINS 63 8.3
SOME USEFUL QUANTITIES 69 8.4 UNBOUNDED DOMAINS 71 8.5 FURTHER
APPLICATIONS 75 8.6 SPECIAL CASES 80 8.7 THE PROOFS 81 8.8 NOTES AND
REMARKS 83 9 SUPERLINEAR PROBLEMS 85 9.1 INTRODUCTION 85 9.2 THE MAIN
THEOREMS 86 9.3 PRELIMINARIES 88 9.4 PROOFS 89 9.5 THE PARAMETER PROBLEM
92 9.6 THE MONOTONICITY TRICK 97 9.7 NOTES AND REMARKS 104 10 WEAK
LINKING 107 10.1 INTRODUCTION 107 10.2 ANOTHER NORM 108 10.3 SOME
EXAMPLES 112 10.4 SOME APPLICATIONS 114 16.7 NOTES AND REMARKS 209
CONTENTS IX 11 FUCIK SPECTRUM: RESONANCE 129 11.1 INTRODUCTION 129 11.2
THE CURVES 131 11.3 EXISTENCE 135 11.4 NOTES AND REMARKS 139 12
ROTATIONALLY INVARIANT SOLUTIONS 141 12.1 INTRODUCTION 141 12.2 THE
SPECTRUM OF THE LINEAR OPERATOR 142 12.3 THE NONLINEAR CASE 144 12.4
NOTES AND REMARKS 147 13 SEMILINEAR WAVE EQUATIONS 149 13.1 INTRODUCTION
149 13.2 CONVEXITY AND LOWER SEMI-CONTINUITY 149 13.3 EXISTENCE OF
SADDLE POINTS 152 13.4 CRITERIA FOR CONVEXITY 155 13.5 PARTIAL
DERIVATIVES 156 13.6 THE THEOREMS 158 13.7 THE PROOFS 158 13.8 NOTES AND
REMARKS 161 14 TYPE (II) REGIONS 163 14.1 INTRODUCTION 163 14.2 THE
ASYMPTOTIC EQUATION 166 14.3 LOCAL ESTIMATES 168 14.4 THE SOLUTIONS 172
14.5 NOTES AND REMARKS 175 15 WEAK SANDWICH PAIRS 177 15.1 INTRODUCTION
177 15.2 WEAK SANDWICH PAIRS 178 15.3 APPLICATIONS 184 15.4 NOTES AND
REMARKS 190 16 MULTIPLE SOLUTIONS 191 16.1 INTRODUCTION 191 16.2 TWO
EXAMPLES 191 16.3 STATEMENT OF THE THEOREMS 192 16.4 SOME LEMMAS 194
16.5 LOCAL LINKING 206 16.6 THE PROOFS 208 INDEX 241 X CONTENTS 17
SECOND-ORDER PERIODIC SYSTEMS 213 17.1 INTRODUCTION 213 17.2 PROOFS OF
THE THEOREMS 215 17.3 NONCONSTANT SOLUTIONS 221 17.4 NOTES AND REMARKS
226 BIBLIOGRAPHY 229
|
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| discipline | Mathematik |
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| isbn | 9780817648053 |
| language | English |
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| spelling | Schechter, Martin 1930- Verfasser (DE-588)1042649022 aut Minimax Systems and Critical Point Theory New York Birkhäuser 2009 txt rdacontent n rdamedia nc rdacarrier Differentialgleichungssystem - Variationsrechnung - Kritischer Punkt <Mathematik> Chebyshev approximation Critical point theory (Mathematical analysis) Maxima and minima Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Kritischer Punkt Mathematik (DE-588)4207169-0 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 s Variationsrechnung (DE-588)4062355-5 s Kritischer Punkt Mathematik (DE-588)4207169-0 s DE-604 Erscheint auch als Online-Ausgabe 978-0-8176-4902-9 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017694473&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schechter, Martin 1930- Minimax Systems and Critical Point Theory Differentialgleichungssystem - Variationsrechnung - Kritischer Punkt <Mathematik> Chebyshev approximation Critical point theory (Mathematical analysis) Maxima and minima Differentialgleichungssystem (DE-588)4121137-6 gnd Kritischer Punkt Mathematik (DE-588)4207169-0 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4121137-6 (DE-588)4207169-0 (DE-588)4062355-5 |
| title | Minimax Systems and Critical Point Theory |
| title_auth | Minimax Systems and Critical Point Theory |
| title_exact_search | Minimax Systems and Critical Point Theory |
| title_full | Minimax Systems and Critical Point Theory |
| title_fullStr | Minimax Systems and Critical Point Theory |
| title_full_unstemmed | Minimax Systems and Critical Point Theory |
| title_short | Minimax Systems and Critical Point Theory |
| title_sort | minimax systems and critical point theory |
| topic | Differentialgleichungssystem - Variationsrechnung - Kritischer Punkt <Mathematik> Chebyshev approximation Critical point theory (Mathematical analysis) Maxima and minima Differentialgleichungssystem (DE-588)4121137-6 gnd Kritischer Punkt Mathematik (DE-588)4207169-0 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Differentialgleichungssystem - Variationsrechnung - Kritischer Punkt <Mathematik> Chebyshev approximation Critical point theory (Mathematical analysis) Maxima and minima Differentialgleichungssystem Kritischer Punkt Mathematik Variationsrechnung |
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