Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1099-1111.

• Articles • Previous Articles     Next Articles

Positive Solutions for An Inhomogeneous Singular Elliptic Equation with Critical Exponent in RN

 XIE Hua-Chao, LI Su-Li   

  1. Department of Mathematics, Henan University of Economics and Law, Zhengzhou 450002
  • Received:2012-05-22 Revised:2013-06-06 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    河南省自然科学基金(12B110002)资助

Abstract:

A semilinear elliptic problem with singular coefficient and inhomogeneous term is mainly studied. The existence and nonexistence of solutions for the inhomogeneous elliptic equation are proved by variational methods and  analytic technique. Meanwhile, multiplicity  and uniqueness of solutions are also investigated.

Key words: Inhomogeneous elliptic equation, Critical exponent, Hardy term, Positive solutions

CLC Number: 

  • 35J60
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