Elliptic complexes in the calculus of variations:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2003
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| Schriftenreihe: | Dissertationes mathematicae
418 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 63 S. |
Internformat
MARC
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Datensatz im Suchindex
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Titel: Elliptic complexes in the calculus of variations
Autor: Giannetti, Flavia
Jahr: 2003
CONTENTS
1. Introduction. 5
2. Requisites from analysis and function spaces. 8
2.1. Orlicz spaces. 8
2.2. Schwartz distributions .10
2.3. The maximal operator.11
2.4. Hardy spaces.12
3. Elliptic complexes .13
3.1. Introduction .13
3.2. Elliptic complexes.17
3.3. Elliptic couples and quasiharmonic fields .20
3.4. Variational integrals .23
4. Jacobian determinants.26
4.1. Introduction .26
4.2. Distributional Jacobian .29
4.3. Estimates of Jacobians by subdeterminants.32
4.3.1. Whitney cubes.33
4.3.2. Isoperimetric inequality .34
4.4. Proof of Theorem 4.7.35
4.5. Proof of Theorem 4.6.37
4.6. Examples .38
4.7. Further results.40
5. Mappings of finite distortion.42
5.1. Introduction .42
5.2. The Beltrami equation.43
5.3. Regularity results for vector fields of bounded distortion.45
5.4. Further results.50
6. Lower semicontinuity of a class of multiple integrals .53
6.1. Introduction .53
6.2. Main result.55
6.3. Polyconvex case.57
6.4. Further results.58
References. 60
2000 Mathematics Subject Classification'. 58J10, 26B10, 30C65, 49J40.
Received 15.7.2002; revised version 30.12.2002.
Acknowledgements. The author wishes to thank G. Moscariello and T. Iwaniec for their useful
comments and suggestions. |
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| indexdate | 2025-02-26T09:01:08Z |
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| language | English |
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| physical | 63 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Polska Akad. Nauk, Inst. Matematyczny |
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| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Giannetti, Flavia Verfasser aut Elliptic complexes in the calculus of variations Flavia Giannetti Warszawa Polska Akad. Nauk, Inst. Matematyczny 2003 63 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 418 Calculus of variations Complexes Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 s Variationsrechnung (DE-588)4062355-5 s DE-604 Dissertationes mathematicae 418 (DE-604)BV000003039 418 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010699132&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Giannetti, Flavia Elliptic complexes in the calculus of variations Dissertationes mathematicae Calculus of variations Complexes Elliptischer Differentialoperator (DE-588)4140057-4 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4140057-4 (DE-588)4062355-5 |
| title | Elliptic complexes in the calculus of variations |
| title_auth | Elliptic complexes in the calculus of variations |
| title_exact_search | Elliptic complexes in the calculus of variations |
| title_full | Elliptic complexes in the calculus of variations Flavia Giannetti |
| title_fullStr | Elliptic complexes in the calculus of variations Flavia Giannetti |
| title_full_unstemmed | Elliptic complexes in the calculus of variations Flavia Giannetti |
| title_short | Elliptic complexes in the calculus of variations |
| title_sort | elliptic complexes in the calculus of variations |
| topic | Calculus of variations Complexes Elliptischer Differentialoperator (DE-588)4140057-4 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Calculus of variations Complexes Elliptischer Differentialoperator Variationsrechnung |
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