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J. R. Esteban and J. L. Vazquez, “On the Equation of Turbulent Filtration in One-Dimensional Porous Media,” Nonlinear Analysis, Vol. 10, No. 11, 1982, pp. 1303- 1325.

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 .