Asymptotic Behavior of Solutions of Equations of the Emden-Fowler Type at Infinity

被引：0

作者：

Surnachev, M. D. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 08期

关键词：

Asymptotic Behavior; Nonnegative Integer; Elliptic Operator; Angular Parameter; Asymptotic Term;

D O I：

10.1134/S0012266109080096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an asymptotic representation of solutions of equations of the Emden Fowler type with "supercritical" exponent and prove the existence of solutions with a given asymptotics. The methods used include the construction of supersolutions for deriving a priori estimates and the use of Kondrat'ev's results for weighted spaces. The existence of solutions is proved by the Leray-Schauder method.

引用

页码：1174 / 1188

页数：15

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