The singular set of stationary solution for semilinear elliptic equations with supercritical growth

被引：0
|
作者：
Du, Shi-Zhong [1 ]
机构：
[1] Harbin Inst Technol, Shenzhen Grad Sch, Sch Nat Sci & Humanities, Shenzhen 518055, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 256卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Semilinear elliptic equations; Critical exponent; Stationary solution; Partial-regularity; Dimension reduction; POSITIVE WEAK SOLUTIONS; PARTIAL REGULARITY; CONVERGENCE; DOMAINS;
D O I：
10.1016/j.jde.2014.01.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the partial regularity of the stationary solution to semilinear elliptic equations. For almost all supercritical exponents, we improve the upper bounds of the Hausdorff dimension of the singular set, which are derived by Pacard, to the optimal ones. (C) 2014 Elsevier Inc. All rights reserved.
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页码：2392 / 2405
页数：14
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