Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bonn
Math. Inst. der Univ.
2006
|
| Series: | Bonner mathematische Schriften
379 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 95 S. |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804136540447703040 |
|---|---|
| adam_text | BONNER MATHEMATISCHE SCHRIFTEN NR. 379 SUB GOTTINGEN 220 187 355 2007 A
18502 GEGENWARTIGE HERAUSGEBER: S. ALBEVERIO, H. W. ALT, W. BALLMANN, C.
- F. BODIGHEIMER, A. EBERLE, J. FRANKE, J. FREHSE, M. GRIEBEL, U.
HAMENSTADT, D. HUYBRECHTS, P. KOEPKE, A. KUNOTH, M. LESCH, I. LIEB, W.
MULLER, F. OTTO, M. RAPOPORT, M. RUMPF, M. SCHAL, K. SCHERER, J.
SCHROER, S. SCHWEDE, K.-T. STURM, O. VENJAKOB BEGRIINDET VON E. PESCHL.
FORTGEFIIHRT VON E. BRIESKORN, H. FELLMER, G. HARDER, G. HASENJAGER, S.
HILDEBRANDT, F. HIRZEBRUCH, H. KARCHER, W. KLINGENBERG, W. KRULL, R.
LEIS, F. POP, E. SPERNER, J. TITS, H. UNGER, W. VOGEL, H. WERNER DNICK:
RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT, BONN MATHEMATISCHES INSTITUT
DER UNIVERSITAT WEGELERSTR. 10,D-53115BONN EMAIL:
BIBLIOTHEK@MATH.UNI-BONN.DE ISSN 0524-045X CONTENTS 1 INTRODUCTION 1 1.1
MAIN RESULTS 1 1.2 BASIC DEFINITIONS AND HISTORY 2 2 COURANT S AND
HEINZ 1 RESULTS 5 3 COMPACTNESS OF M S {V) 16 4 EXTREME POLYGONS PREVENT
BOUNDARY BRANCH POINTS 18 5 MOLLIFIED GREEN (UNCTIONS ON B 26 6 THE
CLASSICAL GREEN FUNCTION ON B 32 7 THE SCHWARZ OPERATORS A T AND A T FOR
R * K (/) 47 7.1 DOM(A T ) = H 2 - 2 (B) N H L - 2 {B) FOR R E K(F) 47
7.2 ESSENTIAL SELF-ADJOINTNESS OF A T AND A T 54 8 THE SPECTRA AND
EIGENSPACES OF A T AND A T 57 9 THE COMPONENT K(F) . OF A (/) IS A
CLOSED C - CURVE 63 9.1 PROOF OF THEOREM 9.1 64 10 STRICT MONOTONICITY
OF TOMI S FUNCTION F(X^) 72 11 LOCAL BOUNDEDNESS OF D(A UR)) 86 11.1
PROOF OF THEOREM L2 89
|
| adam_txt |
BONNER MATHEMATISCHE SCHRIFTEN NR. 379 SUB GOTTINGEN 220 187 355 2007 A
18502 GEGENWARTIGE HERAUSGEBER: S. ALBEVERIO, H. W. ALT, W. BALLMANN, C.
- F. BODIGHEIMER, A. EBERLE, J. FRANKE, J. FREHSE, M. GRIEBEL, U.
HAMENSTADT, D. HUYBRECHTS, P. KOEPKE, A. KUNOTH, M. LESCH, I. LIEB, W.
MULLER, F. OTTO, M. RAPOPORT, M. RUMPF, M. SCHAL, K. SCHERER, J.
SCHROER, S. SCHWEDE, K.-T. STURM, O. VENJAKOB BEGRIINDET VON E. PESCHL.
FORTGEFIIHRT VON E. BRIESKORN, H. FELLMER, G. HARDER, G. HASENJAGER, S.
HILDEBRANDT, F. HIRZEBRUCH, H. KARCHER, W. KLINGENBERG, W. KRULL, R.
LEIS, F. POP, E. SPERNER, J. TITS, H. UNGER, W. VOGEL, H. WERNER DNICK:
RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT, BONN MATHEMATISCHES INSTITUT
DER UNIVERSITAT WEGELERSTR. 10,D-53115BONN EMAIL:
BIBLIOTHEK@MATH.UNI-BONN.DE ISSN 0524-045X CONTENTS 1 INTRODUCTION 1 1.1
MAIN RESULTS 1 1.2 BASIC DEFINITIONS AND HISTORY " 2 2 COURANT'S AND
HEINZ 1 RESULTS 5 3 COMPACTNESS OF M S {V) 16 4 EXTREME POLYGONS PREVENT
BOUNDARY BRANCH POINTS 18 5 MOLLIFIED GREEN (UNCTIONS ON B 26 6 THE
CLASSICAL GREEN FUNCTION ON B 32 7 THE SCHWARZ OPERATORS A T AND A T FOR
R * K (/) 47 7.1 DOM(A T ) = H 2 - 2 (B) N H L - 2 {B) FOR R E K(F) 47
7.2 ESSENTIAL SELF-ADJOINTNESS OF A T AND A T 54 8 THE SPECTRA AND
EIGENSPACES OF A T AND A T 57 9 THE COMPONENT K(F)\. OF A"(/) IS A
CLOSED C""- CURVE 63 9.1 PROOF OF THEOREM 9.1 64 10 STRICT MONOTONICITY
OF TOMI'S FUNCTION F(X^) 72 11 LOCAL BOUNDEDNESS OF D(A'UR)) 86 11.1
PROOF OF THEOREM L2 89 |
| any_adam_object | 1 |
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| author | Jakob, Ruben 1978- |
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| classification_rvk | SI 180 |
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| dewey-full | 516.362 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.362 |
| dewey-search | 516.362 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV022458356 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:39:10Z |
| indexdate | 2024-07-09T20:58:01Z |
| institution | BVB |
| language | English |
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| physical | 95 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Math. Inst. der Univ. |
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| series | Bonner mathematische Schriften |
| series2 | Bonner mathematische Schriften |
| spelling | Jakob, Ruben 1978- Verfasser (DE-588)129377252 aut Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves Ruben Jakob Bonn Math. Inst. der Univ. 2006 95 S. txt rdacontent n rdamedia nc rdacarrier Bonner mathematische Schriften 379 Curves Plateau's problem Polygons Funktional (DE-588)4155667-7 gnd rswk-swf Plateau-Problem (DE-588)4174854-2 gnd rswk-swf Extremale (DE-588)4128895-6 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 379 (DE-604)BV000001610 379 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015666081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jakob, Ruben 1978- Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves Bonner mathematische Schriften Curves Plateau's problem Polygons Funktional (DE-588)4155667-7 gnd Plateau-Problem (DE-588)4174854-2 gnd Extremale (DE-588)4128895-6 gnd |
| subject_GND | (DE-588)4155667-7 (DE-588)4174854-2 (DE-588)4128895-6 |
| title | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves |
| title_auth | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves |
| title_exact_search | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves |
| title_exact_search_txtP | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves |
| title_full | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves Ruben Jakob |
| title_fullStr | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves Ruben Jakob |
| title_full_unstemmed | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves Ruben Jakob |
| title_short | Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves |
| title_sort | finiteness of the set of solutions of plateau s problem for polygonal boundary curves |
| topic | Curves Plateau's problem Polygons Funktional (DE-588)4155667-7 gnd Plateau-Problem (DE-588)4174854-2 gnd Extremale (DE-588)4128895-6 gnd |
| topic_facet | Curves Plateau's problem Polygons Funktional Plateau-Problem Extremale |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015666081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001610 |
| work_keys_str_mv | AT jakobruben finitenessofthesetofsolutionsofplateausproblemforpolygonalboundarycurves |