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A. C. Lazer and P. J. McKenna, “On a Singular Nonlinear Elliptic Boundary-Value Problem,” Proceedings of the American Mathematical Society, Vol. 111, No. 3, 1991, pp. 721-730.

has been cited by the following article:

• TITLE: Existence and Non-Existence Result for Singular Quasilinear Elliptic Equations

  AUTHORS: Mingzhu Wu, Zuodong Yang

  KEYWORDS: Quasilinear Elliptic Equations, Existence, Non-Existence, Singular

  JOURNAL NAME: Applied Mathematics, Vol.1 No.5, November 30, 2010

  ABSTRACT: We prove the existence of a ground state solution for the qusilinear elliptic equation in , under suitable conditions on a locally Holder continuous non-linearity , the non-linearity may exhibit a singularity as . We also prove the non-existence of radially symmetric solutions to the singular elliptic equation in , as where .