Overview

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.

Full Product Details

Author:   S Kesavan (The Inst Of Mathematical Sci, India)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   3
Dimensions:   Width: 16.40cm , Height: 1.60cm , Length: 23.00cm
Weight:   0.435kg
ISBN:  

9789812567338

ISBN 10:   981256733
Pages:   160
Publication Date:   26 April 2006
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Symmetrization; Some Classical Inequalities; Comparison Theorems; Eigenvalue Problems; Nonlinear Problems.

Reviews

This book is well-suited for a special topics course at the graduate level. Mathematical Reviews

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