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.
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页码：1174 / 1188
页数：15
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