Conformal transformation of metrics on the n-sphere

被引：20

作者：

Chtioui, Hichem ^{[1
]}

Ben Mahmoud, Randa ^{[2
]}

Abuzaid, Dina A. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21413, Saudi Arabia

[2] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 82卷

关键词：

Scalar curvature problem; Lack of compactness; Critical points at infinity; SCALAR-CURVATURE PROBLEM; S-N; DELTA-U; EQUATION; EXISTENCE;

D O I：

10.1016/j.na.2013.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this work is to discuss some new results on the scalar curvature problem in dimension n >= 3. We give precise estimates on the losses of compactness and we prove the existence of at least a solution under the assumption that the prescribed function is flat near its critical points. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：66 / 81

页数：16

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