Existence and Non-Existence Result for Singular Quasilinear Elliptic Equations

Mingzhu Wu, Zuodong Yang

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DOI: 10.4236/am.2010.15046                

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 .

Keywords

Quasilinear Elliptic Equations, Existence, Non-Existence, Singular

Conflicts of Interest

The authors declare no conflicts of interest.

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