Concentration compactness : functional-analytic grounds and applications / Kyril Tintarev, Karl-Heinz Fieseler.

Format:

Book

Author/Creator:

Tintarev, Kyril.

Contributor:

Fieseler, Karl-Heinz.

Language:

English

Subjects (All):

Functional analysis.

Mathematical analysis.

Physical Description:

1 online resource (279 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, c2007.

Language Note:

English

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 spaces. Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of d

Contents:

Preface; Contents; 1. Functional spaces and convergence; 2. Sobolev spaces; 3. Weak convergence decomposition; 4. Concentration compactness with Euclidean shifts; 5. Concentration compactness with dilations; 6. Minimax problems; 7 . Differentiable manifolds; 8 . Riemannian manifolds and Lie groups; 9 . Sobolev spaces on manifolds and subelliptic problems; 10 . Further applications; Appendix A Covering lemma; Appendix B Rearrangement inequalities; Appendix C Maximum principle; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611120542

9781281120540

1281120545

9781860947971

1860947972

OCLC:

476099231