Asymptotic behavior of positive solutions to emden-fowler type equations

被引：0

作者：

Surnachev M.D. ^{[1
]}

机构：

[1] Bauman Moscow State Technical University, Moscow 105005, 5

来源：

Journal of Mathematical Sciences | 2011年 / 177卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic Expansion; Maximum Principle; Elliptic Equation; Contracting Mapping; Harnack Inequality;

D O I：

10.1007/s10958-011-0452-1

中图分类号：

学科分类号：

摘要：

We study the asymptotic behavior of positive solutions to nonlinear elliptic equations of Emden-Fowler type with absorption term. For operators with variable coefficients we obtain conditions on coefficients under which the solutions have the same asymptotics as solutions to the model equation Δu = -x{pipe}p{pipe}u{pipe}σ-1u. For positive solutions we obtain lower order terms of the asymptotic expansion at infinity. Bibliography: 10 titles. © 2011 Springer Science+Business Media, Inc.

引用

页码：148 / 207

页数：59

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