Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms

被引：9
作者：
Liu, Chunlian [1 ]
Yang, Zuodong [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Large solutions; Quasilinear elliptic equation; Asymptotic behavior;
D O I：
10.1016/j.na.2007.10.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a perturbation method and by constructing comparison functions, we show the exact asymptotic behaviour of solutions near the boundary of the quasilinear elliptic problem {div(vertical bar del u vertical bar(m-2)del u) +/- vertical bar del u(x)vertical bar q((m-1)) = b(x)e(u(x)), x is an element of Omega, u vertical bar(partial derivative Omega) = +infinity, where Omega is a C-2 bounded domain with a smooth boundary in R-N (N >= 2), m > 1, q >= 0, b is nonnegative and nontrivial in Omega, which may vanish on the boundary. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4380 / 4391
页数：12
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