Asymptotics for singular solutions of quasilinear elliptic equations with an absorption term

被引：31

作者：

Repovs, Dusan ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia

[2] Univ Ljubljana, Fac Educ, SI-1000 Ljubljana, Slovenia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 01期

关键词：

Quasilinear elliptic equation; Boundary blow-up; Asymptotic analysis; Regular variation theory; BOUNDARY BLOW-UP; UNIQUENESS; BIEBERBACH; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.jmaa.2012.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the asymptotic analysis of positive blow-up boundary solutions for a class of quasilinear elliptic equations with an absorption term. By means of the Karamata theory we establish the first two terms in the expansion of the singular solution near the boundary. Our analysis includes large classes of nonlinearities of Keller-Osserman type. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：78 / 85

页数：8

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