| 一类具有双权退化椭圆算子的Picone恒等式及其应用 |
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| 引用本文： | 王胜军.一类具有双权退化椭圆算子的Picone恒等式及其应用[J].青海大学学报,2007,25(3):71-73. |
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| 作者姓名： | 王胜军 |
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| 作者单位： | 青海广播电视大学,青海西宁810008 |
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| 摘 要： | 提出一类比广义Baouendi-Grushin算子更为广泛的双权退化椭圆算子，首先建立该椭圆算子L的Picone恒等式，然后作为所建立的Picone恒等式的应用，给出该椭圆算子L的Hardy不等式及一个Strurm型比较结果.
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| 关 键 词： | 双权退化椭圆算子:Picone恒等式 Hardy不等式 Strurm型比较结果 |
| 文章编号： | 1006-8996（2007）03-0071-03 |
| 修稿时间： | 2007-03-14 |
A kind of Picone identity with the double right degenerate ellipse operator and its application |
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| WANG Sheng-jun.A kind of Picone identity with the double right degenerate ellipse operator and its application[J].Journal of Qinghai University(Natural Science),2007,25(3):71-73. |
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| Authors: | WANG Sheng-jun |
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| Institution: | Qinghai Broadcast and TV University,Xining 810008, China |
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| Abstract: | A kind of double fight degenerate ellipse operator which is much more than the generalized Baouendi - Grushin operator is put forward. The Picone identity of the ellipse operator L is set up first and then the Hardy ineguality of the ellipse operator L and a Strum type compare result are shown out as the application of the Picone identity. |
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| Keywords: | double right degenerate ellipse operator Picone identity Hardy ineguality Strtmn type compare result |
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