Concentration compactness [[electronic resource] ] : functional-analytic grounds and applications / / Kyril Tintarev, Karl-Heinz Fieseler

• Autore: Tintarev Kyril
• Pubblicazione: London, : Imperial College Press, c2007
• Descrizione fisica: 1 online resource (279 p.)
• Disciplina: 515.7
• Soggetto topico: Functional analysis; Mathematical analysis
• Altri autori: FieselerKarl-Heinz
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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
• Titolo autorizzato: Concentration compactness
• ISBN: 1-281-12054-5; 9786611120542; 1-86094-797-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784300903321
• Lo trovi qui: Univ. Federico II