Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2006, Vol. 23 ›› Issue (3): 301-305.DOI: 10.7523/j.issn.2095-6134.2006.3.003

• 论文 • Previous Articles     Next Articles

A New Proof of the Sharp Hardy Inequality to the Grushin Type Operators

LIU Hai-Feng, NIU Peng-Cheng   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-03-15

Abstract: A generalized sharp Hardy inequality to the degenerate elliptic operators with respect to
Grushin type operators is proved by an ingeniously choosing of test functions and calculating
of the maximum value of a quadratic equation. Some interesting corollaries are also listed.

Key words: degenerate equation, Grushin type operator, sharp Hardy inequality.

CLC Number: