Structure of positive radial solutions including singular solutions to Matukuma's equation

被引：9

作者：

Morishita, H ^{[1
]}

Yanagida, E

Yotsutani, S

机构：

[1] Hyogo Univ, Dept Econ & Informat Sci, Kakogawa 6750101, Japan

[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

[3] Ryukoku Univ, Dept Appl Math & Informat, Otsu, Shiga 5202194, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2005年 / 4卷 / 04期

关键词：

semilinear elliptic equation; radial solutions;

D O I：

10.3934/cpaa.2005.4.871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider positive solutions of Matukuma's equation, which is described by a nonlinear elliptic equation with a weight. Any radially symmetric solution of this equation is said to be regular or singular according to its behavior near the origin and infinity. We investigate the structure of positive radial regular and singular solutions.

引用

页码：871 / 888

页数：18

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