60f Symmetrization in analysis (Book, 2019) [WorldCat.org]
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Symmetrization in analysis

Author: Albert Baernstein; David Drasin; Richard S Laugesen
Publisher: Cambridge ; New York, NY Cambridge University Press 2019
Series: New mathematical monographs, 36.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Many extremal problems in mathematics and physics have symmetric solutions whose analytic and geometric properties often have elegant formulations. This book develops and applies symmetrization  Read more...

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Document Type: Book
All Authors / Contributors: Albert Baernstein; David Drasin; Richard S Laugesen
ISBN: 0521830478 9780521830478
OCLC Number: 1119131820
Notes: Includes bibliographical references and index.
1901.
Description: xviii, 473 Seiten : Illustrationen
Contents: Foreword Walter Hayman; Preface David Drasin and Richard S. Laugesen; Introduction; 1. Rearrangements; 2. Main inequalities on Rn; 3. Dirichlet integral inequalities; 4. Geometric isoperimetric and sharp Sobolev inequalities; 5. Isoperimetric inequalities for physical quantities; 6. Steiner symmetrization; 7. Symmetrization on spheres, and hyperbolic and Gauss spaces; 8. Convolution and beyond; 9. The *-function; 10. Comparison principles for semilinear Poisson PDEs; 11. The *-function in complex analysis; References; Index.
Series Title: New mathematical monographs, 36.
Responsibility: Albert Baernstein II (Washington University in St Louis); with David Drasin (Purdue University, Indiana), Richard Laugesen (University of Illinois, Urbana-Champaign).

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'The book itself is a comprehensive and detailed study of the notion of symmetrization and is a welcome addition to existing literature on the subject. This book is a remarkable text collecting a Read more...

 
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