An edition of Symmetrization and Applications
(2006)
Symmetrization and Applications
by S. Kesavan
Share
×Close
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 applicat.
Check nearby libraries
Buy this book
Previews available in: English
Subjects
Symmetry, Inequalities (mathematics)| Edition | Availability |
|---|---|
1
Symmetrization and Applications
2006, World Scientific Publishing Company
electronic resource
in English
9812773932 9789812773937
|
aaaa
|
Book Details
Table of Contents
Preface; Notations; Contents; 1. Symmetrization; 1.1 The Decreasing Rearrangement; 1.2 Some Rearrangement Inequalities; 1.3 Schwarz Symmetrization; 1.4 Variations on the Theme; 2. Some Classical Inequalities; 2.1 The Isoperimetric Inequality; 2.2 The Co-area Formula; 2.3 The Polya
Szego Theorem; 2.4 Sobolev's Inequality; 3. Comparison Theorems; 3.1 Talenti's Theorem; 3.2 The Equality Case; 3.3 Sobolev Imbeddings; 3.4 The Obstacle Problem; 3.5 Electrostatic Capacity; 3.6 The Saint Venant Problem; 3.7 Comments; 4. Eigenvalue Problems; 4.1 The Faber
Krahn Inequality
4.2 The Szego
Weinberger Inequality4.3 Chiti's Theorem; 4.4 The Payne
Polya
Weinberger Conjecture; 4.5 Rayleigh's Conjecture for Clamped Plates; 4.6 The Buckling Problem; 4.7 Comments; 5. Nonlinear Problems; 5.1 Payne
Rayner Type Inequalities; 5.2 A System of Semilinear Equations; 5.3 Comments; Bibliography; Index
Edition Notes
Description based upon print version of record.
Classifications
The Physical Object
Edition Identifiers
Work Identifiers
Community Reviews (0)
| August 17, 2023 | Edited by ImportBot | import existing book |
| July 7, 2019 | Created by MARC Bot | import new book |