Clustered solutions to low-order perturbations of fractional Yamabe equations

被引：2

作者：

Chen, Wenjing ^{[1
]}

Deng, Shengbing ^{[1
]}

Kim, Seunghyeok ^{[2
]}

机构：

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

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

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 06期

关键词：

BLOW-UP PHENOMENA; RIEMANNIAN-MANIFOLDS; COMPACTNESS THEOREM; CONFORMAL GEOMETRY; ELLIPTIC-EQUATIONS; SCALAR CURVATURE; GJMS OPERATORS; METRICS; BOUNDARY; INEQUALITIES;

D O I：

10.1007/s00526-017-1253-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, g(+)) be an asymptotically hyperbolic manifold and (M, [(h) over cap]) be its conformal infinity. We construct positive clustered solutions to low-order perturbations of gamma-Yamabe equations (0 < gamma < 1) on (M, (h) over cap), which are slightly supercritical, under certain geometric and dimensional assumptions. These solutions certainly exhibit non-isolated blow-up.

引用

页数：29

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