J4 ›› 2011, Vol. 46 ›› Issue (6): 45-48.

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Eigen-value problem of a bi-harmonic equation in R4

WU Yun1, YAO Yangxin2   

  1. 1. Department of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, Guizhou, China;
    2. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, Guangdong, China
  • Received:2010-03-16 Online:2011-06-16 Published:2011-12-19

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Abstract:

 The eigen-value problem of bi-harmonic equations with Hardy potential is considered. The results of references by introducing a new Hilbert space are improved. 

Key words:  biharmonic equations; Hardy type inequality; eigenvalue

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