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

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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.
    Mathematics Subject Classification: 35J25, 34B16.


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