Structure of positive radial solutions of Matukuma's equation

  • Eiji Yanagida


We study the structure of solutions of a semilinear elliptic equation called Matukuma's equation. This equation is a mathematical model for describing the dynamics of a globular cluster of stars. It is known that, under some conditions, there exists a solution called a positive entire solution with finite total mass. It is conjectured that the finite total mass solution is unique. In this paper the structure of positive radial solutions is made clear and an affirmative answer is given to the conjecture.

Key words

semilinear elliptic equation uniqueness 


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Copyright information

© JJIAM Publishing Committee 1991

Authors and Affiliations

  • Eiji Yanagida
    • 1
  1. 1.Department of Applied Science, Faculty of EngineeringMiyazaki UniversityMiyazakiJapan

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