000			01851nam a2200289Ia 4500
003			OSt
005			20240201183516.0
008			231229s9999 xx 000 0 und d
020			_a9789812567338
040			_cIISER BPR
041			_aEng
082			_a516 _bKES _223rd
100			_aKesavan, S.
245		0	_aSymmetrization & Applications
250			_a1st ed.
260			_aSingapore: _bWorld Scientific Publishing Co. Pte. Ltd, _cc2006.
300			_axii, 148p. : _bill (hb). ; _c22cm
440			_aSeries in Analysis ; _vVol. 3
520			_aThe 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. Includes notations, bibliography and index.
650			_aMathematics
650			_aSymmetry (Mathematics)
650			_aIsoperimetric inequalities
942			_cBK _2ddc
942			_2ddc _cBK
947			_a6910.2065
948			_a0.22
999			_c3193 _d3193