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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, 32(2): 185-190. DOI: 10.3969/j.issn.1003-0972.2019.02.003
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, 32(2): 185-190. DOI: 10.3969/j.issn.1003-0972.2019.02.003
shu
ZHANG Liuwei, WU Huijuan. The Faber-Krahn Inequalities of ν-Euclidean Type for the p-Laplacian on Riemannian Manifolds[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(2): 185-190. DOI: 10.3969/j.issn.1003-0972.2019.02.003
Citation: ZHANG Liuwei, WU Huijuan. The Faber-Krahn Inequalities of ν-Euclidean Type for the p-Laplacian on Riemannian Manifolds[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(2): 185-190. DOI: 10.3969/j.issn.1003-0972.2019.02.003
shu

黎曼流形上关于p-Laplacian的ν-Euclidean类型的Faber-Krahn不等式

The Faber-Krahn Inequalities of ν-Euclidean Type for the p-Laplacian on Riemannian Manifolds

    摘要
  • 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.

     

    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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