Singular solutions for the constant Q-curvature problem

被引：8
|
作者：
Hyder, Ali [1 ]
Sire, Yannick [1 ]
机构：
[1] Johns Hopkins Univ, Dept Math, 3400 N Charles St, Baltimore, MD 21218 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 280卷 / 03期
基金：
瑞士国家科学基金会;
关键词：
Singular solutions; Q-curvature; Paneitz operator; ELLIPTIC THEORY; CONSTRUCTION; EQUATION;
D O I：
10.1016/j.jfa.2020.108819
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the construction of weak solutions to the singular constant Q-curvature problem. We build on several tools developed in the last years. This is the first construction of singular metrics on closed manifolds of sufficiently large dimension with constant (positive) Q-curvature. (C) 2020 Elsevier Inc. All rights reserved.
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页数：39
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