CONCENTRATION OF SOLUTIONS FOR THE MEAN CURVATURE PROBLEM

被引：2

作者：

Abdelhedi, Wael ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 03期

关键词：

Boundary mean curvature; critical Sobolev exponent; critical points at infinity; CONFORMAL METRICS; BOUNDARY; BALL; B-4;

D O I：

10.1016/S0252-9602(13)60026-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of conformal metrics equivalent to the Euclidean metric, with zero scalar curvature and prescribed mean curvature on the boundary of the ball B-n, n >= 4. By variational methods, we prove the existence of two peak solutions that concentrate around a strict local maximum points of the mean curvature under certain conditions.

引用

页码：631 / 642

页数：12

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