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W. M. Ni and R. D. Nussbaum, “Uniqueness and Non-uniqueness for Positive Radial Solutions of △u+f(u,r)=0,” Communications on Pure and Applied Mathematics, Vol. 38, No. 1, 1985, pp. 67-108.

has been cited by the following article:

• TITLE: Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator

  AUTHORS: Yong Liu

  KEYWORDS: Pucci Operator; Radial Solution; Uniqueness; Super Linear

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.6, November 14, 2012

  ABSTRACT: The solution of a nonlinear elliptic equation involving Pucci maximal operator and super linear nonlinearity is studied. Uniqueness results of positive radial solutions in the annulus with Dirichlet boundary condition are obtained. The main tool is Lane-Emden transformation and Koffman type analysis. This is a generalization of the corresponding classical results involving Laplace operator.