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Eigenvalue estimates of the p-Laplacian on finite graphs
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-10-15 , DOI: 10.1016/j.difgeo.2020.101697 Yu-Zhao Wang , Huimin Huang
中文翻译:
有限图上p -Laplacian的特征值估计
更新日期:2020-10-16
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-10-15 , DOI: 10.1016/j.difgeo.2020.101697 Yu-Zhao Wang , Huimin Huang
In this paper, we study the eigenvalue of p-Laplacian on finite graphs. Under generalized curvature dimensional condition, we obtain a lower bound of the first nonzero eigenvalue of p-Laplacian. Moreover, a upper bound of the largest p-Laplacian eigenvalue is derived.
中文翻译:
有限图上p -Laplacian的特征值估计
在本文中,我们在有限图中研究p -Laplacian的特征值。在广义曲率维数条件下,我们获得p -Laplacian的第一个非零特征值的下界。此外,得出最大的p -Laplacian特征值的上限。