| 書目名稱 | Yamabe-type Equations on Complete, Noncompact Manifolds | | 編輯 | Paolo Mastrolia,Marco Rigoli,Alberto G Setti | | 視頻video | http://file.papertrans.cn/1061/1060189/1060189.mp4 | | 概述 | Up-to-date results on the subject not yet available in book form.A number of new results and techniques as well as new proofs of known results.Clear account of a number of key methods from geometric a | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | .The aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem. The book also describes a wide range of methods and techniques that can be successfully applied to nonlinear differential equations in particularly challenging situations. Such situations occur where the lack of compactness, symmetry and homogeneity prevents the use of more standard tools typically used in compact situations or for the Euclidean setting. The work is written in an easy style that makes it accessible even to non-specialists..After a self-contained treatment of the geometric tools used in the book, readers are introduced to the main subject by means of a concise but clear study of some aspects of the Yamabe problem on compact manifolds. This study provides the motivation and geometrical feeling for the subsequent part of the work. In the main body of the book, it is shown how the geometry and the analysis of nonlinear partial differential equations blend together to give up-to-date results on existence, nonexistence, uniqueness and a priori estimates for solutions of general Yamabe-type equations and inequalities on complete, non-compact | | 出版日期 | Book 2012 | | 關鍵詞 | Riemannian geometry via moving frames; Yamabe-type equations; a priori estimates, uniqueness and exist | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0376-2 | | isbn_softcover | 978-3-0348-0791-3 | | isbn_ebook | 978-3-0348-0376-2Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel 2012 |
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