Symmetrization & applications /:
The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperim...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2006.
|
| Schriftenreihe: | Series in analysis ;
v. 3. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites. |
| Beschreibung: | 1 online resource (xii, 148 pages) |
| Bibliographie: | Includes bibliographical references (pages 141-146) and index. |
| ISBN: | 9789812773937 9812773932 |
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| author | Kesavan, S. |
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| contents | Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems. |
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| id | ZDB-4-EBA-ocn666958476 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:17:31Z |
| institution | BVB |
| isbn | 9789812773937 9812773932 |
| language | English |
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| spelling | Kesavan, S. Symmetrization & applications / S. Kesavan. Symmetrization and applications Singapore ; Hackensack, N.J. : World Scientific, ©2006. 1 online resource (xii, 148 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series in analysis ; v. 3 Includes bibliographical references (pages 141-146) and index. Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems. The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites. Print version record. Isoperimetric inequalities. http://id.loc.gov/authorities/subjects/sh85068659 Symmetry (Mathematics) http://id.loc.gov/authorities/subjects/sh2006001303 Inégalités isopérimétriques. Symétrie (Mathématiques) MATHEMATICS Geometry General. bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast Libros electronicos. Print version: Kesavan, S. Symmetrization & applications. Singapore ; Hackensack, N.J. : World Scientific, ©2006 (DLC) 2006284163 (OCoLC)70879114 Series in analysis ; v. 3. http://id.loc.gov/authorities/names/no2003001946 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514821 Volltext |
| spellingShingle | Kesavan, S. Symmetrization & applications / Series in analysis ; Symmetrization -- Some Classical Inequalities -- Comparison Theorems -- Eigenvalue Problems -- Nonlinear Problems. Isoperimetric inequalities. http://id.loc.gov/authorities/subjects/sh85068659 Symmetry (Mathematics) http://id.loc.gov/authorities/subjects/sh2006001303 Inégalités isopérimétriques. Symétrie (Mathématiques) MATHEMATICS Geometry General. bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85068659 http://id.loc.gov/authorities/subjects/sh2006001303 |
| title | Symmetrization & applications / |
| title_alt | Symmetrization and applications |
| title_auth | Symmetrization & applications / |
| title_exact_search | 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 | Isoperimetric inequalities. http://id.loc.gov/authorities/subjects/sh85068659 Symmetry (Mathematics) http://id.loc.gov/authorities/subjects/sh2006001303 Inégalités isopérimétriques. Symétrie (Mathématiques) MATHEMATICS Geometry General. bisacsh Isoperimetric inequalities fast Symmetry (Mathematics) fast |
| topic_facet | Isoperimetric inequalities. Symmetry (Mathematics) Inégalités isopérimétriques. Symétrie (Mathématiques) MATHEMATICS Geometry General. Isoperimetric inequalities Libros electronicos. |
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