Multiple solutions to the Yamabe problem

被引：1
|
作者：
Egorov, Yu. V. [1 ]
Il'yasov, Ya. Sh.
机构：
[1] Univ Toulouse 3, F-31062 Toulouse, France
[2] Bashkir State Univ, Ufa 450074, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 74卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/S1064562406040041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the generalized Yamabe problem for a Riemannian manifold with smooth boundary, which is concerned with the existence of a conformal metric in which the manifold has given scalar curvature and the boundary has given mean curvature. We also generalize the notion of a critical Palais-Smale level and find a new conformally invariant necessary and sufficient condition for the existence of multiple solutions to the problem. © Pleiades Publishing, Inc., 2006.
引用
收藏
页码：484 / 486
页数：3
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