Acta mathematica scientia,Series A

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On Nonhomogeneous Elliptic Equations Involving Caffarelli-Kohn-Nirenberg Critical Exponent

Fan Zi-an   

  1. Department of Mathematics, Hubei Engineering University, Hubei Xiaogan 432000
  • Received:2014-06-12 Revised:2015-05-22 Online:2015-10-25 Published:2015-10-25

Abstract:

This paper discusses one nonhomogeneous elliptic equations involving Caffarelli-Kohn-Nirenberg critical exponent. By Nehari manifold and Variational methods, we prove that the equation has at least two nontrivial solutions.

Key words: Caffarelli-Kohn-Nirenberg critical exponent, Nonhomogeneous elliptic equations, Nehari manifold, Nontrivial

CLC Number: 

  • O175.2
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