Infinite dimensional morse theory and its applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Montréal (Québec), Canada
Presses de l'Univ. de Montréal
1985
|
| Series: | University <Montreal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures, Seminaire Scientif. OTAN (Nato advanced study inst.), Dép. de Mathématiques et de Statistique, Univ. de Montréal
97 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 154 S. |
| ISBN: | 2760607348 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
INTRODUCTION 11
Section 0. PRELIMINARIES 14
Section 1. CRITICAL GROUPS AND THE MORSE TYPE NUMBERS 21
Section 2. GROMOLL MEYER THEORY 35
Section 3. MORSE THEORY ON FINSLER MANIFOLDS 45
3.1. Morse theory without the Morse lemma 46
3.2. Hereditable theory 58
Section 4. CONNECTIONS WITH OTHER THEORIES 61
4.1. Degree theory 61
4.2. Ljusternik Schnirelman theory 68
Section 5. THREE CRITICAL POINT THEOREM 71
Section 6. HOMOTOPY INVARIANCE AND APPLICATIONS TO BIFURCATION PROBLEMS . . 79
Section 7. HOMOLOGICAL CHARACTERIZATION OF THE MOUNTAIN PASS POINT 89
Section 8. ASYMPTOTICALLY LINEAR EQUATIONS 94
10
Section 9. MULTIPLE SOLUTIONS OF ELLIPTIC BOUNDARY VALUE PROBLEMS Ill
9.1. A resonance problem 111
9.2. Nonresonance problems 114
9.3. Super and sub solutions and local minimum 117
9.4. A bifurcation problem 119
9.5. Jumping nonlinearities 122
9.6. Other examples 128
Section 10. MULTIPLE PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS 134
10.1. A nonresonance problem 136
10.2. A multiple solution theorem 145
10.3. Arnold s conjecture 147
REFERENCES 150
|
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| id | DE-604.BV000468810 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:24Z |
| institution | BVB |
| isbn | 2760607348 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000288929 |
| oclc_num | 260193307 |
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| physical | 154 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Presses de l'Univ. de Montréal |
| record_format | marc |
| series2 | University <Montreal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures, Seminaire Scientif. OTAN (Nato advanced study inst.), Dép. de Mathématiques et de Statistique, Univ. de Montréal |
| spelling | Chang, Kung-ching 1936- Verfasser (DE-588)133505863 aut Infinite dimensional morse theory and its applications Montréal (Québec), Canada Presses de l'Univ. de Montréal 1985 154 S. txt rdacontent n rdamedia nc rdacarrier University <Montreal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures, Seminaire Scientif. OTAN (Nato advanced study inst.), Dép. de Mathématiques et de Statistique, Univ. de Montréal 97 Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Morse-Theorie (DE-588)4197103-6 s DE-604 Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures, Seminaire Scientif. OTAN (Nato advanced study inst.), Dép. de Mathématiques et de Statistique, Univ. de Montréal University <Montreal> 97 (DE-604)BV000004755 97 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000288929&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chang, Kung-ching 1936- Infinite dimensional morse theory and its applications Morse-Theorie (DE-588)4197103-6 gnd |
| subject_GND | (DE-588)4197103-6 |
| title | Infinite dimensional morse theory and its applications |
| title_auth | Infinite dimensional morse theory and its applications |
| title_exact_search | Infinite dimensional morse theory and its applications |
| title_full | Infinite dimensional morse theory and its applications |
| title_fullStr | Infinite dimensional morse theory and its applications |
| title_full_unstemmed | Infinite dimensional morse theory and its applications |
| title_short | Infinite dimensional morse theory and its applications |
| title_sort | infinite dimensional morse theory and its applications |
| topic | Morse-Theorie (DE-588)4197103-6 gnd |
| topic_facet | Morse-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000288929&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004755 |
| work_keys_str_mv | AT changkungching infinitedimensionalmorsetheoryanditsapplications |