Symmetrization & applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2006
|
| Schriftenreihe: | Series in analysis
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 148 S. graph. Darst. |
| ISBN: | 981256733X |
Internformat
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Datensatz im Suchindex
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| adam_text | SERIES IN A11 A IVS1 S :__VQL_3. SYMMETRIZATION & APPLICATIONS S KESAVAN
THE INSTITUTE OF MATHEMATICAL SCIENCES, INDIA WORLD SCIENTIFIC N E W
JERSEY * L O N D O N * SINGAPORE * BEIJING * S H A N G H A I * H O N G K
O N G * TAIPEI * C H E N N A I CONTENTS PREFACE V NOTATIONS IX 1.
SYMMETRIZATION 1 1.1 THE DECREASING REARRANGEMENT 1 1.2 SOME
REARRANGEMENT INEQUALITIES 8 1.3 SCHWARZ SYMMETRIZATION 13 1.4
VARIATIONS ON THE THEME 15 2. SOME CLASSICAL INEQUALITIES 19 2.1 THE
ISOPERIMETRIC INEQUALITY 19 2.2 THE CO-AREA FORMULA 28 2.3 THE POLYA -
SZEGO THEOREM 35 2.4 SOBOLEV S INEQUALITY 43 3. COMPARISON THEOREMS 47
3.1 TALENTI S THEOREM 47 3.2 THE EQUALITY CASE 53 3.3 SOBOLEV IMBEDDINGS
63 3.4 THE OBSTACLE PROBLEM 66 3.5 ELECTROSTATIC CAPACITY 70 3.6 THE
SAINT VENANT PROBLEM 73 3.7 COMMENTS 80 XII SYMMETRIZATION AND
APPLICATIONS 4. EIGENVALUE PROBLEMS 83 4.1 THE FABER - KRAHN INEQUALITY
83 4.2 THE SZEGO - WEINBERGER INEQUALITY 89 4.3 CHITI S THEOREM 95 4.4
THE PAYNE - POLYA - WEINBERGER CONJECTURE 98 4.5 RAYLEIGH S CONJECTURE
FOR CLAMPED PLATES 105 4.6 THE BUCKLING PROBLEM 116 4.7 COMMENTS 122 5.
NONLINEAR PROBLEMS 125 5.1 PAYNE - RAYNER TYPE INEQUALITIES 125 5.2 A
SYSTEM OF SEMILINEAR EQUATIONS 132 5.3 COMMENTS 139 BIBLIOGRAPHY 141
INDEX 147
|
| adam_txt |
SERIES IN A11 A IVS1 S :_VQL_3. SYMMETRIZATION & APPLICATIONS S KESAVAN
THE INSTITUTE OF MATHEMATICAL SCIENCES, INDIA 'WORLD SCIENTIFIC N E W
JERSEY * L O N D O N * SINGAPORE * BEIJING * S H A N G H A I * H O N G K
O N G * TAIPEI * C H E N N A I CONTENTS PREFACE V NOTATIONS IX 1.
SYMMETRIZATION 1 1.1 THE DECREASING REARRANGEMENT 1 1.2 SOME
REARRANGEMENT INEQUALITIES 8 1.3 SCHWARZ SYMMETRIZATION 13 1.4
VARIATIONS ON THE THEME 15 2. SOME CLASSICAL INEQUALITIES 19 2.1 THE
ISOPERIMETRIC INEQUALITY 19 2.2 THE CO-AREA FORMULA 28 2.3 THE POLYA -
SZEGO THEOREM 35 2.4 SOBOLEV'S INEQUALITY 43 3. COMPARISON THEOREMS 47
3.1 TALENTI'S THEOREM 47 3.2 THE EQUALITY CASE 53 3.3 SOBOLEV IMBEDDINGS
63 3.4 THE OBSTACLE PROBLEM 66 3.5 ELECTROSTATIC CAPACITY 70 3.6 THE
SAINT VENANT PROBLEM 73 3.7 COMMENTS 80 XII SYMMETRIZATION AND
APPLICATIONS 4. EIGENVALUE PROBLEMS 83 4.1 THE FABER - KRAHN INEQUALITY
83 4.2 THE SZEGO - WEINBERGER INEQUALITY 89 4.3 CHITI'S THEOREM 95 4.4
THE PAYNE - POLYA - WEINBERGER CONJECTURE 98 4.5 RAYLEIGH'S CONJECTURE
FOR CLAMPED PLATES 105 4.6 THE BUCKLING PROBLEM 116 4.7 COMMENTS 122 5.
NONLINEAR PROBLEMS 125 5.1 PAYNE - RAYNER TYPE INEQUALITIES 125 5.2 A
SYSTEM OF SEMILINEAR EQUATIONS 132 5.3 COMMENTS 139 BIBLIOGRAPHY 141
INDEX 147 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T15:52:54Z |
| indexdate | 2024-07-09T20:45:19Z |
| institution | BVB |
| isbn | 981256733X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015029572 |
| oclc_num | 255643532 |
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| physical | XII, 148 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | World Scientific |
| record_format | marc |
| series | Series in analysis |
| series2 | Series in analysis |
| spelling | Kesavan, Srinivasan Verfasser (DE-588)135793580 aut Symmetrization & applications S Kesavan Symmetrization and applications New Jersey [u.a.] World Scientific 2006 XII, 148 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in analysis 3 Análise matemática larpcal Desigualdades isoperimétricas larpcal Equações diferenciais parciais (textos avançados) larpcal Equações diferenciais parciais elíticas larpcal Geometria diferencial larpcal Isoperimetrische Ungleichung - Symmetrisierung Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd rswk-swf Isoperimetrische Ungleichung (DE-588)4162544-4 gnd rswk-swf Symmetrisierung (DE-588)4738312-4 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Symmetrisierung (DE-588)4738312-4 s DE-604 Isoperimetrische Ungleichung (DE-588)4162544-4 s Sobolev-Einbettung (DE-588)4181713-8 s Eigenwertproblem (DE-588)4013802-1 s Series in analysis 3 (DE-604)BV016443275 3 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015029572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kesavan, Srinivasan Symmetrization & applications Series in analysis Análise matemática larpcal Desigualdades isoperimétricas larpcal Equações diferenciais parciais (textos avançados) larpcal Equações diferenciais parciais elíticas larpcal Geometria diferencial larpcal Isoperimetrische Ungleichung - Symmetrisierung Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd Symmetrisierung (DE-588)4738312-4 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| subject_GND | (DE-588)4181713-8 (DE-588)4162544-4 (DE-588)4738312-4 (DE-588)4013802-1 |
| title | Symmetrization & applications |
| title_alt | Symmetrization and applications |
| title_auth | Symmetrization & applications |
| title_exact_search | Symmetrization & applications |
| title_exact_search_txtP | Symmetrization & applications |
| title_full | Symmetrization & applications S Kesavan |
| title_fullStr | Symmetrization & applications S Kesavan |
| title_full_unstemmed | Symmetrization & applications S Kesavan |
| title_short | Symmetrization & applications |
| title_sort | symmetrization applications |
| topic | Análise matemática larpcal Desigualdades isoperimétricas larpcal Equações diferenciais parciais (textos avançados) larpcal Equações diferenciais parciais elíticas larpcal Geometria diferencial larpcal Isoperimetrische Ungleichung - Symmetrisierung Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung (DE-588)4181713-8 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd Symmetrisierung (DE-588)4738312-4 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| topic_facet | Análise matemática Desigualdades isoperimétricas Equações diferenciais parciais (textos avançados) Equações diferenciais parciais elíticas Geometria diferencial Isoperimetrische Ungleichung - Symmetrisierung Isoperimetric inequalities Symmetry (Mathematics) Sobolev-Einbettung Isoperimetrische Ungleichung Symmetrisierung Eigenwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015029572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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