Prescribing Scalar Curvature in Conformal Geometry
Produktnummer:
18bf6b030b018d4bdfb0fe81ed129fb646
| Autor: | Malchiodi, Andrea |
|---|---|
| Themengebiete: | blow-up analysis elliptic equations of critical type prescribed scalar curvature topological methods |
| Veröffentlichungsdatum: | 01.09.2023 |
| EAN: | 9783985470525 |
| Auflage: | 1 |
| Sprache: | Englisch |
| Seitenzahl: | 151 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | EMS Press |
Produktinformationen "Prescribing Scalar Curvature in Conformal Geometry"
This book treats the classical problem, posed by Kazdan and Warner, of prescribing a given function on a closed manifold as the scalar curvature of a metric within a conformal class. Since both critical equations and obstructions to the existence of solutions appear, the problem is particularly challenging. Our focus is to present a general approach for understanding the matter, particularly the issue of loss of compactness. The task of establishing existence of solutions is attacked combining several tools: the variational structure of the problem, Liouville-type theorems, blow-up analysis, elliptic regularity theory, and topological arguments. Treating different aspects of the subject and containing several references to up-to-date research directions and perspectives, the book will be useful to graduate students and researchers interested in geometric analysis and partial differential equations.
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