BOUNDARY BEHAVIOR OF LARGE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS IN BORDERLINE CASES

被引：0
|
作者：
Zhang, Zhijun [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai, Shandong, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Semilinear elliptic equations; boundary blow-up; boundary behavior; borderline cases; BLOW-UP; UNIQUENESS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we analyze the boundary behavior of solutions to the boundary blow-up elliptic problem Delta u = b(x)f(u), u >= 0, x is an element of Omega, u vertical bar(partial derivative Omega) = infinity, where Omega is a bounded domain with smooth boundary in R-N, f(u) grows slower than any u(p) (p > 1) at infinity, and b is an element of C-alpha ((Omega) over bar) which is non-negative in Omega and positive near partial derivative Omega, may be vanishing on the boundary.
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页数：11
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