TY - BOOK ID - 77944209 TI - Symmetrization & applications PY - 2006 VL - 3 SN - 1281919179 9786611919177 9812773932 9789812773937 9789812567338 981256733X PB - Hackensack, N.J. : World Scientific, DB - UniCat KW - Isoperimetric inequalities. KW - Symmetry (Mathematics) KW - Invariance (Mathematics) KW - Group theory KW - Automorphisms KW - Geometry, Plane KW - Inequalities (Mathematics) KW - Isoperimetric inequalities UR - https://www.unicat.be/uniCat?func=search&query=sysid:77944209 AB - 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 ER -