| 黎曼流形上关于p-Laplacian的ν-Euclidean类型的Faber-Krahn不等式 |
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| 引用本文： | 张留伟,吴慧娟.黎曼流形上关于p-Laplacian的ν-Euclidean类型的Faber-Krahn不等式[J].信阳师范学院学报(自然科学版),2019(2):185-190. |
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| 作者姓名： | 张留伟 吴慧娟 |
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| 作者单位： | 信阳师范学院数学与统计学院 |
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| 摘 要： | 首先利用Federer-Fleming定理研究了黎曼流形上p-Laplace算子的解析Faber-Krahn不等式;其次利用余面积公式和Cavalieri原理研究了黎曼流形上p-Laplace算子的解析Faber-Krahn不等式的一般化.
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| 关 键 词： | p-Laplace算子 Federer-Fleming定理 Faber-Krahn不等式 等周常数 Cheeger常数 |
The Faber-Krahn Inequalities of ν-Euclidean Type for the p-Laplacian on Riemannian Manifolds |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University |
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| Abstract: | The Federer-Fleming Theorem is firstly used to investigate the analytic Faber-Krahn inequalities of Euclidean type for the p-Laplace operator on manifolds. Secondly,the coarea formula and Cavalieri's principle is applied to study the general Faber-Krahn inequalities of Euclidean type for the p-Laplace operator on manifolds. |
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| Keywords: | p-Laplace operator Federer-Fleming theorem Faber-Krahn inequality isoperimetric constant Cheeger constant |
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