Book Details

Réarrangement Relatif : Un instrument d’estimations dans les problèmes aux limites = Relative Rearrangement : An estimation instrument in boundary problems

Publication year: 2008

ISBN: 978-3-540-69118-1

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The objective of this book is to present a little known or even new method based on the concept of relative rearrangement which is the main subject of this book. To do this, we have developed properties of monotonic rearrangement, some of which are not found in any other work than in this book (except in reviews) such as Polyà-Szego inequalities or C_alpha-rearrangements. We study the regularity of the derivative of the monotonic rearrangement as well as the continuity of this derivative map.


Subject: Mathematics and Statistics, 46E30, 46E35, 42B25, 35B45, 35B65, 35B50, 35J20, 35K65, 35J7, Equations en physique des plasmas, Inégalités de Sobolev, Réarrangement relatif, inégalités de Polyà-Szego, réarrangement monotone et ses régularités, partial differential equations, Equations in plasma physics, Sobolev inequalities, Relative rearrangement, Polyà-Szego inequalities, monotonic rearrangement and its regularities, Functional Analysis, Fourier Analysis Partial Differential Equations, Complex Systems, Classical and Continuum Physics, Statistical Physics and Dynamical Systems