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Existence and Multiplicity of Solutions fora Nonlinear Singular Elliptic Equation

WEI Xiaodan   

  1. School of Computer Scicence and Technology, Dalian Nationalities University, Dalian 116600, Liaoning Province, China;Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-06-01 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
  • Contact: WEI Xiaodan

Abstract: This paper is devoted to the existence and multiplicity of the solutions of the homogenous Dirichlet problem for a nonlinear singular elliptic equation with natural growth in the gradient. The proofs for the main results are based on a prior estimate of the solutions of approximate problems and compactness techniques.

Key words: singular elliptic equation, solution, existence, multiplicity

CLC Number: 

  • O175.25