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

LIU Hai-Feng; NIU Peng-Cheng

doi:10.7523/j.issn.2095-6134.2006.3.003

Journal of University of Chinese Academy of Sciences >

2006 , Vol. 23 >Issue 3: 301 - 305

DOI: https://doi.org/10.7523/j.issn.2095-6134.2006.3.003

论文

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

LIU Hai-Feng ,
NIU Peng-Cheng

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Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072

Received date: 1900-01-01

Revised date: 1900-01-01

Online published: 2006-03-15

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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.

Cite this article

LIU Hai-Feng , NIU Peng-Cheng . A New Proof of the Sharp Hardy Inequality to the Grushin Type Operators[J]. Journal of University of Chinese Academy of Sciences, 2006 , 23(3) : 301 -305 . DOI: 10.7523/j.issn.2095-6134.2006.3.003

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