Journal of South China University of Technology(Natural Science Edition) ›› 2003, Vol. 31 ›› Issue (8): 42-44.

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Existence of Positive Solution for a Singular Coefficients Elliptic Equation Involving Critical Exponent

Yao Yang-xin  Xie Chao-dong    

  1. 1.Dept.of Applied Mathematics South China Univ.of Tech. Guangzhou510640 China; 2.Dept.of Information Guizhou Institute for Nationalities Guiyang550025 China
  • Online:2003-08-20 Published:2022-05-12

Abstract: In this paper some existence results of solution of following an elliptic equation with singular coefficients -△u-μ u |x|2=u 2 ∗-1+λ u q-1 |x|σ‚x∈Ω;u>0 x∈Ω;u=0 x∈∂Ω are studied by virtue of Hardy inequality and the Mountain Pass Geometry.

Key words: Hardy inequality, elliptic equation, critical exponent, singular coefficient, positive solution

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