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

引用

页码：3445 / 3457

页数：13

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