Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1369-1376.

• Articles • Previous Articles     Next Articles

A Note on a Rellich-Sobolev Inequality

 LUO Guang-Zhou   

  1. School of Mathematics and Statistics, Hubei Normal University, Hubei Huangshi 435002
  • Received:2009-08-30 Revised:2010-09-14 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10771175)资助

Abstract:

The author  proves a Rellich-Sobolev inequality and obtains the corresponding sharp constant. The procedure is based on decomposition into spherical harmonics and the best constant of Hardy-Sobolev inequality given by Adimurthi et al.

Key words: Hardy inequality, Rellich Inequality, Sobolev Inequality, Best constant

CLC Number: 

  • 26D10
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