Gluing metrics with prescribed Q-curvature and different asymptotic behaviour in high dimension

被引：0

作者：

Hyder, Ali ^{[1
]}

Martinazzi, Luca ^{[2
]}

机构：

[1] Swiss Fed Inst Technol, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2021年 / 22卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

CONSTANT Q-CURVATURE; MEAN-FIELD EQUATION; SINGULAR LIMITS; 4TH-ORDER EQUATION; EXPONENTIAL-GROWTH; CONFORMAL METRICS; ELLIPTIC EQUATION; R-N; QUANTIZATION; COMPACTNESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show a new example of blow-up behaviour for the prescribed Q-curvature equation in even dimension 6 , higher, namely given a sequence (V-k) subset of C-0(R-2n) suitably converging we construct for n >= 3 a sequence (u(k)) of radially symmetric solutions to the equation (-Delta)(n)u(k) = V(k)e(2nuk) in R-2n, with uk blowing up at the origin and on a sphere. We also prove sharp blow-up estimates. This is in sharp contrast with the 4-dimensional case studied by F. Robert (J. Differential Equation, 2006).

引用

页码：505 / 547

页数：43

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