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![[Obrazek: d244f520b88766e89c47f8e5a263e49f.avif]](https://i126.fastpic.org/big/2025/1217/9f/d244f520b88766e89c47f8e5a263e49f.avif)
English | 2023 | ISBN: 3985470529 | 164 Pages | True PDF | 1.05 MB [/center]
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. The author's focus is to present a general approach for understanding the matter, particularly the issue of loss of compactness. The task of establishing the 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.
English | 2023 | ISBN: 3985470529 | 164 Pages | True PDF | 1.05 MB [/center]
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. The author's focus is to present a general approach for understanding the matter, particularly the issue of loss of compactness. The task of establishing the 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.
Cytat:https://rapidgator.net/file/f28de9c5916c...y.pdf.html
https://upzur.com/c4rjq4pckca1/Prescribi...y.pdf.html