Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bonn
Math. Inst. der Univ.
2005
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| Schriftenreihe: | Bonner mathematische Schriften
373 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 70 S. |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Titel: Unstable extremal surfaces of the Shiffman functional spanning rectifiable boundary curves
Autor: Jakob, Ruben
Jahr: 2005
Contents
1 Introduction and main result 3
2 A quasi maximum principle and a compactness result for I-surfaces 5
2.1 Proof of Lemma 2.1 .............................. 6
2.2 Further preparing propositions........................ 14
2.3 Levelling of C^c(M2)-functions......................... 19
2.4 Levelling of the components of distorted surfaces Air............ 21
2.5 Proof of Theorems 2.1 and 2.2 ........................ 25
3 Compactness resp. dosedness of the set of I-surfaces in Hl£(B,W?) resp.
C°(B,®?) 28
4 Continuity theorems for A, J and I 37
4.1 Continuity theorem for A by Morse and Tompkins............. 37
4.2 Continuity theorems for J and I....................... 49
4.3 Isoperimetric inequalities for A and J.................... 53
5 Combination with the results of [9] 54
5.1 Preliminary definitions and propositions................... 54
5.1.1 Approximation of closed rectifiable Jordan curves by polygons . . 54
5.1.2 Limit Superior of contimia....................... 61
5.1.3 Mountain pass situation and instability............... 63
5.2 Proof of the main result............................ 64
|
| adam_txt |
Titel: Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves
Autor: Jakob, Ruben
Jahr: 2005
Contents
1 Introduction and main result 3
2 A quasi maximum principle and a compactness result for I-surfaces 5
2.1 Proof of Lemma 2.1 . 6
2.2 Further preparing propositions. 14
2.3 Levelling of C^c(M2)-functions. 19
2.4 Levelling of the components of distorted surfaces Air. 21
2.5 Proof of Theorems 2.1 and 2.2 . 25
3 Compactness resp. dosedness of the set of I-surfaces in Hl£(B,W?) resp.
C°(B,®?) 28
4 Continuity theorems for A, J and I 37
4.1 Continuity theorem for A by Morse and Tompkins. 37
4.2 Continuity theorems for J and I. 49
4.3 Isoperimetric inequalities for A and J. 53
5 Combination with the results of [9] 54
5.1 Preliminary definitions and propositions. 54
5.1.1 Approximation of closed rectifiable Jordan curves by polygons . . 54
5.1.2 Limit Superior of contimia. 61
5.1.3 Mountain pass situation and instability. 63
5.2 Proof of the main result. 64 |
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| id | DE-604.BV021274147 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:45:25Z |
| indexdate | 2024-07-09T20:34:25Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014595228 |
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| physical | 70 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
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| publisher | Math. Inst. der Univ. |
| record_format | marc |
| series | Bonner mathematische Schriften |
| series2 | Bonner mathematische Schriften |
| spelling | Jakob, Ruben 1978- Verfasser (DE-588)129377252 aut Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves Ruben Jakob Bonn Math. Inst. der Univ. 2005 70 S. txt rdacontent n rdamedia nc rdacarrier Bonner mathematische Schriften 373 Extremal problems (Mathematics) Plateau's problem Riemann surfaces Extremale (DE-588)4128895-6 gnd rswk-swf Funktional (DE-588)4155667-7 gnd rswk-swf Plateau-Problem (DE-588)4174854-2 gnd rswk-swf Plateau-Problem (DE-588)4174854-2 s Funktional (DE-588)4155667-7 s Extremale (DE-588)4128895-6 s DE-604 Bonner mathematische Schriften 373 (DE-604)BV000001610 373 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014595228&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jakob, Ruben 1978- Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves Bonner mathematische Schriften Extremal problems (Mathematics) Plateau's problem Riemann surfaces Extremale (DE-588)4128895-6 gnd Funktional (DE-588)4155667-7 gnd Plateau-Problem (DE-588)4174854-2 gnd |
| subject_GND | (DE-588)4128895-6 (DE-588)4155667-7 (DE-588)4174854-2 |
| title | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves |
| title_auth | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves |
| title_exact_search | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves |
| title_exact_search_txtP | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves |
| title_full | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves Ruben Jakob |
| title_fullStr | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves Ruben Jakob |
| title_full_unstemmed | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves Ruben Jakob |
| title_short | Unstable extremal surfaces of the "Shiffman functional" spanning rectifiable boundary curves |
| title_sort | unstable extremal surfaces of the shiffman functional spanning rectifiable boundary curves |
| topic | Extremal problems (Mathematics) Plateau's problem Riemann surfaces Extremale (DE-588)4128895-6 gnd Funktional (DE-588)4155667-7 gnd Plateau-Problem (DE-588)4174854-2 gnd |
| topic_facet | Extremal problems (Mathematics) Plateau's problem Riemann surfaces Extremale Funktional Plateau-Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014595228&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001610 |
| work_keys_str_mv | AT jakobruben unstableextremalsurfacesoftheshiffmanfunctionalspanningrectifiableboundarycurves |