A remark on the uniqueness of positive solutions to semilinear elliptic   equations with double power nonlinearities
  We consider the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities. We deduce the uniqueness from the argument in the classical paper by Peletier and Serrin, thereby recovering a part of the uniqueness result of Ouyang and Shi. 
Shinji Kawano