Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Olivier Druet 作者

Princeton University Press

译者

2004-4-19 出版日期

224 页数

USD 62.95 价格

Paperback

Mathematical Notes 丛书系列

9780691119533 图书编码

Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书图书标签: 数学 in for Theory Riemannian PUP PDEs Geometry

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Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Blow-up Theory for Elliptic PDEs in Riemannian Geometry 在线电子书图书描述

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrdinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary. Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields.

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