ASYMPTOTIC BEHAVIOR OF PALAIS-SMALE SEQUENCES ON MANIFOLDS WITH BOUNDARY

被引：9

作者：

Almaraz, Sergio ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat, BR-24020140 Niteroi, RJ, Brazil

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 269卷 / 01期

关键词：

Riemannian manifold; Palais-Smale sequence; manifold with boundary; blow-up; CONFORMAL DEFORMATION; SOBOLEV INEQUALITIES; UNIQUENESS THEOREMS; CONSTANT; EXPONENT; METRICS;

D O I：

10.2140/pjm.2014.269.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the asymptotic behavior of Palais-Smale sequences associated to certain Yamabe-type equations on manifolds with boundary. We prove that each of those sequences converges to a solution of the limit equation plus a finite number of "bubbles" which are obtained by rescaling fundamental solutions of the corresponding Euclidean equations.

引用

页码：1 / 17

页数：17

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