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.

引用

页数：11

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