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 .