Uniqueness and non-existence theorems for conformally invariant equations

被引：44

作者：

Xu, XW ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 222卷 / 01期

关键词：

conformally invariant integral equations; method of moving spheres; Q-curvature;

D O I：

10.1016/j.jfa.2004.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the equivalent integral form for the Q-curvature equation, we generalize the well-known non-existence results on two-dimensional Gaussian curvature equation to all dimensional Q-curvature equation. Somehow, we introduce a new approach to Q-curvature equation which is higher order and even pseudo-differential equation. As a by-product, we do classify the solutions for Q = 1 solutions on S-n as well as on R-n with necessary growth rate assumption. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 28

页数：28

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