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Concentration compactness : functional-analytic grounds and applications

Author: Kyril Tintarev; Karl-Heinz Fieseler
Publisher: London : Imperial College Press, ©2007.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kyril Tintarev; Karl-Heinz Fieseler
ISBN: 9781860946660 1860946666 1860946674 9781860946677
OCLC Number: 123112914
Description: xii, 264 pages ; 23 cm
Contents: Functional spaces and convergence --
Sobolev spaces --
Weak convergence decomposition --
Concentration compactness with Euclidean shifts --
Concentration compactness with dilations --
Minimax problems --
Differentiable manifolds --
Riemannian manifolds and Lie groups --
Sobolev spaces on manifolds and subelliptic problems --
Further applications --
Appendix A. Covering lemma --
Appendix B. Rearrangement inequalities --
Appendix C. Maximum principle.
Responsibility: Kyril Tintarev, Karl-Heinz Fieseler.

Abstract:

Concentration compactness is an important method in mathematical analysis which has been used in mathematical research. This book aims to combine a concise formulation of the method, a range of  Read more...

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The book is very well written, the arguments are complete and many illustrative examples are given. It can be helpful to all: beginners as well as advanced researchers who want to deepen their Read more...

 
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