Sobolev spaces on Riemannian manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Series: | Lecture notes in mathematics
1635 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 115 S. |
| ISBN: | 3540617221 |
Staff View
MARC
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| 100 | 1 | |a Hebey, Emmanuel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Sobolev spaces on Riemannian manifolds |c Emmanuel Hebey |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a X, 115 S. | ||
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| 650 | 4 | |a Sobolev, Espaces de | |
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Record in the Search Index
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Table of contents
Introduction ix
Chapter 1: Geometric preliminaries 1
1.1 A brief introduction to Riemannian geometry 1
1.2 Estimates on the components of the metric tensor 3
1.3 From local analysis to global analysis 6
Chapter 2: Sobolev spaces 10
2.1 First definitions 10
2.2 Density problems 12
Chapter 3: Sobolev embeddings 17
3.1 Preliminary results 17
3.2 The Sobolev embedding theorem for Rn 21
3.3 Sobolev embeddings for compact manifolds 23
3.4 Sobolev embeddings and convergence of manifolds 27
3.5 Sobolev embeddings for complete manifolds 29
3.6 Disturbed inequalities for complete manifolds 41
3.7 R" type inequalities for complete manifolds 48
Chapter 4: The best constants problems 58
4.1 Program B 59
4.2 Program A 60
4.3 Proof of theorem 4.12 75
4.4 Program A Various results and open questions 79
4.5 Improvement of the best constants 86
viii Table of contents
Chapter 5: Sobolev spaces in the presence of symmetries 90
5.1 Embeddings in higher Lp spaces 90
5.2 Improvement of the best constants 95
5.3 Compactness and symmetries 100
References 106
Notation index 114
Subject index 116 |
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| discipline | Mathematik |
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| isbn | 3540617221 |
| language | English |
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| physical | X, 115 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Hebey, Emmanuel Verfasser aut Sobolev spaces on Riemannian manifolds Emmanuel Hebey Berlin [u.a.] Springer 1996 X, 115 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1635 Espacos (analise funcional) larpcal Geometria diferencial larpcal Riemann, Variétés de Riemann, Variétés de ram Riemann-vlakken gtt Sobolev ruimten gtt Sobolev, Espaces de Sobolev, Espaces de ram Riemannian manifolds Sobolev spaces Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 s Riemannscher Raum (DE-588)4128295-4 s DE-604 Lecture notes in mathematics 1635 (DE-604)BV000676446 1635 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007301837&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hebey, Emmanuel Sobolev spaces on Riemannian manifolds Lecture notes in mathematics Espacos (analise funcional) larpcal Geometria diferencial larpcal Riemann, Variétés de Riemann, Variétés de ram Riemann-vlakken gtt Sobolev ruimten gtt Sobolev, Espaces de Sobolev, Espaces de ram Riemannian manifolds Sobolev spaces Riemannscher Raum (DE-588)4128295-4 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4055345-0 |
| title | Sobolev spaces on Riemannian manifolds |
| title_auth | Sobolev spaces on Riemannian manifolds |
| title_exact_search | Sobolev spaces on Riemannian manifolds |
| title_full | Sobolev spaces on Riemannian manifolds Emmanuel Hebey |
| title_fullStr | Sobolev spaces on Riemannian manifolds Emmanuel Hebey |
| title_full_unstemmed | Sobolev spaces on Riemannian manifolds Emmanuel Hebey |
| title_short | Sobolev spaces on Riemannian manifolds |
| title_sort | sobolev spaces on riemannian manifolds |
| topic | Espacos (analise funcional) larpcal Geometria diferencial larpcal Riemann, Variétés de Riemann, Variétés de ram Riemann-vlakken gtt Sobolev ruimten gtt Sobolev, Espaces de Sobolev, Espaces de ram Riemannian manifolds Sobolev spaces Riemannscher Raum (DE-588)4128295-4 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Espacos (analise funcional) Geometria diferencial Riemann, Variétés de Riemann-vlakken Sobolev ruimten Sobolev, Espaces de Riemannian manifolds Sobolev spaces Riemannscher Raum Sobolev-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007301837&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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