Estimates from below for the first eigenvalue of the p-Laplacian

机译：从下面估计为p-laplacian的第一个特征值

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摘要

The first eigenvalue λ of the p-Laplacian operator with zero Dirichlet boundary condition in bounded domain Ω ? R~n, n > 2, p > 1 is considered. A lower bound for λ is obtained by means of Hardy inequality with double singular kernel. Comparison with analytical and numerical estimates from below in the ball for the first eigenvalue is shown.

机译：P-LAPLACIAN操作员的第一个特征值λ，界域ω具有零的Dirichlet边界条件ω？考虑R〜N，N> 2，P> 1。通过用双奇异核的耐寒不等式获得λ的下限。示出了与第一特征值的球中下面的分析和数值估计的比较。

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来源
《International Conference on New Trends in the Applications of Differential Equations in Sciences》|2019年|1 voulme (various paings):|共15页
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作者
Nikolai Kutev; Tsviatko Rangelov;
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中图分类 O175-532;
关键词
p-Laplacian; First eigenvalue; Hardy inequality;

机译：p-laplacian;第一个特征值;耐寒不平等;

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2. AN EIGENVALUE ESTIMATE FOR A ROBIN p-LAPLACIAN IN C-1 DOMAINS [J] . Pankrashkin Konstantin Proceedings of the American Mathematical Society . 2020,第10期

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3. Lower bound estimates for the first eigenvalue of the weighted p-Laplacian on smooth metric measure spaces [J] . Wang Yu-Zhao, Li Huai-Qian Differential geometry and its applications . 2016,第Null期

机译：光滑度量度量空间上加权p-Laplacian的第一特征值的下界估计
4. Estimates from below for the first eigenvalue of the p-Laplacian [C] . Nikolai Kutev, Tsviatko Rangelov International Conference on New Trends in the Applications of Differential Equations in Sciences . 2019

机译：从下面估计为p-laplacian的第一个特征值
5. On Asymptotics of Nonlocal p-Laplacian Operators and Related Eigenvalues [D] . LI Feng, 李峰 2019

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6. Dependence of accuracy of ESPRIT estimates on signal eigenvalues: the case of a noisy sum of two real exponentials [O] . Theodore Alexandrov, Nina Golyandina, Alexey Timofeyev -1

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7. Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes [O] . Gloria Paoli, Gianpaolo Piscitelli, Leonardo Trani 2020

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Estimates from below for the first eigenvalue of the p-Laplacian

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