ON THE PRESCRIBED MEAN CURVATURE PROBLEM ON THE STANDARD n-DIMENSIONAL BALL

被引：3
|
作者：
Bensouf, Aymen [1 ]
机构：
[1] Fac Sci Gafsa, Dept Math, Campus Univ, Sidi Ahmed Zaroug Gafsa 2112, Tunisia
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 02期
关键词：
boundary mean curvature; variational method; loss of compactness; beta-flatness condition; critical point at infinity; B-N; SCALAR;
D O I：
10.4134/JKMS.2016.53.2.287
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the problem of existence of conformal metrics with prescribed mean curvature on the unit ball of R-n, n >= 3. Under the assumption that the order of flatness at critical points of prescribed mean curvature function H(x) is beta is an element of]1,n - 2], we give precise estimates on the losses of the compactness and we prove new existence result through an Euler-Hopf type formula.
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页码：287 / 304
页数：18
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