Asymptotic behavior of solutions of equations of the Emden-Fowler type at infinity

被引：0

作者：

M. D. Surnachev

机构：

[1] Moscow State University,

来源：

Differential Equations | 2009年 / 45卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：14

共 7 条

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[2]

Vishik M.I.(1988)Qualitative Theory of Second-Order Linear Partial Differential Equations Mat. Sb. 135177 346-360

[3]

Kondrat’ev V.A.(1983)Boundary Value Problems for Partial Differential Equations in Nonsmooth Domains Uspekhi Mat. Nauk 38 3-76

[4]

Landis E.M.(1967)Boundary Value Problems for Elliptic Equations in Domains with Conical or Angular Points Tr. Mosk. Mat. Obs. 16 209-292

[5]

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[6]

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[7]

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