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
收藏
页码：505 / 547
页数：43
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