Structure of positive radial solutions including singular solutions to Matukuma's equation
Hiroshi Morishita - Department of Economics and Information Science, Hyogo University, Kakogawa, 675-0101, Japan (email)
Abstract: 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
Received: June 2005; Published: September 2005.
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