Acta mathematica scientia,Series A

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Existence of Positive Solutions for a Class of Nonlinear Elliptic Equations

Deng Zhiying1,2; Huang Yisheng2   

  1. (1.Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065; 2.Department of Mathematics, Suzhou University, Suzhou 215006)
  • Received:2006-03-30 Revised:2008-03-23 Online:2008-10-25 Published:2008-10-25
  • Contact: Deng Zhiying

Abstract: In this paper, the authors discuss a class of elliptic equations by using the improved Hardy inequality and variational methods. The authors obtain the existence results of positive solutions under certain conditions.

Key words: Improved Hardy inequality, Convex domain, Variational method, Positive solution.

CLC Number: 

  • 35J25
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