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Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena/ Cyril Tintarev.
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| dc.contributor.author | Tintarev Kyril | |
| dc.date.accessioned | 2024-01-25T09:11:55Z | |
| dc.date.available | 2024-01-25T09:11:55Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Tintarev. Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena - 1 online resource (xii, 216 pages) - URL: https://libweb.kpfu.ru/ebsco/pdf/2376057.pdf | |
| dc.identifier.isbn | 3110532433 | |
| dc.identifier.isbn | 9783110532432 | |
| dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/177993 | |
| dc.description | In English. | |
| dc.description | Includes bibliographical references and index. | |
| dc.description.abstract | Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration. | |
| dc.description.tableofcontents | Frontmatter -- Preface -- Contents -- 1. Profile decomposition: a structured defect of compactness -- 2. Delta-convergence and weak convergence -- 3. Cocompact embeddings with the rescaling group -- 4. Profile decomposition in Banach spaces -- 5. More cocompact embeddings -- 6. Profile decompositions on subsets -- 7. Global compactness on Riemannian manifolds -- 8. Functions of bounded variation. Sobolev spaces on fractals -- 9. Sample applications to variational problems -- 10. Appendix -- Common notations -- Bibliography -- Index | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | De Gruyter Series in Nonlinear Analysis and Applications. 33 | |
| dc.subject.other | Functional analysis. | |
| dc.subject.other | MATHEMATICS -- Functional Analysis. | |
| dc.subject.other | Functional analysis. | |
| dc.subject.other | Electronic books. | |
| dc.title | Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena/ Cyril Tintarev. | |
| dc.type | Book | |
| dc.description.pages | 1 online resource (xii, 216 pages) | |
| dc.collection | Электронно-библиотечные системы | |
| dc.source.id | EN05CEBSCO05C2479 |
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