J4 ›› 2011, Vol. 46 ›› Issue (2): 29-33.

• Articles • Previous Articles     Next Articles

Existence of a minimal solution for a singular elliptic equation involving critical exponents

LI Juan   

  1. College of Science, Ningbo University, Ningbo 315211, Zhejiang, China
  • Received:2010-01-13 Online:2011-02-16 Published:2011-03-30

Abstract:

A singular quasilinear homogeneous elliptic equation is studied. Using Ekeland’s variational principle and Brezis-Lieb lemma, the existence of a local minimal solution is proved under certain conditions.

Key words: singular elliptic equation; Sobolev-Hardy inequality; Ekeland’s variational principle

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