The second expansion of large solutions for semilinear elliptic equations

被引：12
|
作者：
Zhang, Zhijun [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 11期
关键词：
Semilinear elliptic equations; Boundary blow-up; Second expansion of solutions;
D O I：
10.1016/j.na.2011.02.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the influence of the domain geometry in the second expansion of solutions to the boundary blow-up elliptic problem Delta u = b(x) f (u), u > 0, x is an element of Omega, u|(partial derivative Omega) = infinity, where Omega is a bounded domain with C-4-smooth boundary in R-N, b is an element of C-alpha((Omega) over bar) which is positive in Omega and may be vanishing on the boundary, and f is normalized regularly varying at infinity with index p (p > 1). (C) 2011 Elsevier Ltd. All rights reserved
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页码：3445 / 3457
页数：13
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