Asymptotics of solutions of a semilinear elliptic equation satisfying Neumann conditions on a side surface of a cylindrical domain

被引：0
|
作者：
Khachlaev T.S.
机构：
来源：
Journal of Mathematical Sciences | 2005年 / 127卷 / 5期
基金：
俄罗斯基础研究基金会;
关键词：
Asymptotic Behavior; Asymptotic Expansion; Elliptic Equation; Exponential Decay; Lateral Surface;
D O I：
10.1007/s10958-005-0180-5
中图分类号：
学科分类号：
摘要：
A semilinear elliptic equation is considered in a cylindrical domain. The asymptotic behavior of its solutions is studied in the case of zero Neumann conditions on the lateral surface. Asymptotic expansions are constructed for fixed-sign solutions. It is shown that variable-sign solutions have exponential decay. © 2005 Springer Science+Business Media, Inc.
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页码：2315 / 2327
页数：12
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