Conformal Flat Metrics with Prescribed Mean Curvature on the Boundary

被引：0
作者：
Sharaf, Khadijah Abdullah [1 ]
Bensouf, Aymen [2 ]
Chtioui, Hichem [3 ]
Soumare, Abdellahi [3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, PO 80230, Jeddah, Saudi Arabia
[2] Fac Sci Gafsa, Dept Math, Sidi Ahmed Zarroug 2112, Gafsa, Tunisia
[3] Fac Sci Sfax, Dept Math, Route Soukra, Sfax, Tunisia
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2022年 / 53卷 / 02期
关键词：
Mean curvature on the boundary; Variational PDE; Critical non linearities; Critical points at infinity; SCALAR-CURVATURE; PERTURBATION RESULT; S-N;
D O I：
10.1007/s00574-021-00262-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the problem of finding conformal metrics on the unit ball B-n of R-n, n >= 3, with zero scalar curvature and prescribed mean curvature on the boundary. We study the lack of compactness of the problem and we prove an existence result based on an index-counting formula.
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收藏
页码：379 / 411
页数：33
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