Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity

被引：0

作者：

Deng, Shengbing ^{[1
]}

Kim, Seunghyeok ^{[2
,3
]}

Pistoia, Angela ^{[4
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Hanyang Univ, Coll Nat Sci, Dept Math, 222 Wangsimni Ro Seongdong Gu, Seoul 04763, South Korea

[3] Hanyang Univ, Coll Nat Sci, Res Inst Nat Sci, 222 Wangsimni Ro Seongdong Gu, Seoul 04763, South Korea

[4] Univ Roma La Sapienza, Dipartimento SBAI, Via Antonio Scarpa 16, I-00161 Rome, Italy

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2021年 / 29卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

MANIFOLDS; COMPACTNESS; SCATTERING; EXTENSION; RESOLVENT; EQUATIONS; METRICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.

引用

页码：363 / 407

页数：45

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