Concentration Compactness : : Functional-Analytic Theory of Concentration Phenomena / / Cyril Tintarev.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Tintarev, Cyril,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 33
• Physical Description: 1 online resource (XI, 216 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110532432; 9783110696288; 9783110696271; 9783110647099; 9783110659061; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• ISSN: 0941-813X
• DOI: 10.1515/9783110532432
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Cyril Tintarev.

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.