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

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December 2005, 4(4): 871-888. doi: 10.3934/cpaa.2005.4.871

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

Hiroshi Morishita ^1, , Eiji Yanagida ^2, and Shoji Yotsutani ^3,

1.	Department of Economics and Information Science, Hyogo University, Kakogawa, 675-0101, Japan
2.	Mathematical Institute Tohoku University, 6-3Aoba, Aramaki, Aoba-ku, Sendai-shi, 980-8578
3.	Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, 520-2194

Received June 2005 Published September 2005

Abstract
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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.

Keywords: Semilinear elliptic equation, radial solutions.

Mathematics Subject Classification: 35J25, 34B16.

Citation: Hiroshi Morishita, Eiji Yanagida, Shoji Yotsutani. Structure of positive radial solutions including singular solutions to Matukuma's equation. Communications on Pure & Applied Analysis, 2005, 4 (4) : 871-888. doi: 10.3934/cpaa.2005.4.871

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