UID:
almafu_9959265899202883
Umfang:
1 online resource (XI, 216 p.)
ISBN:
9783110532432
Serie:
De Gruyter Series in Nonlinear Analysis and Applications ; 33
Inhalt:
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.
Anmerkung:
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
,
In English.
Weitere Ausg.:
ISBN 9783110530582
Weitere Ausg.:
ISBN 9783110530346
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110532432
URL:
https://doi.org/10.1515/9783110532432
URL:
https://doi.org/10.1515/9783110532432
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