A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph

A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph

This paper clarifies the hierarchical structure of the sharp constants for the discrete Sobolev inequality on a weighted complete graph. To this end, we introduce a generalized-graph Laplacian A = I...

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Bibliographic Details
Main Authors: Kazuo Takemura, Yoshinori Kametaka, Atsushi Nagai
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Symmetry
Subjects:
Sobolev inequality
sharp constant
complete graph
graph Laplacian
Green matrix
Online Access:https://www.mdpi.com/2073-8994/10/1/1

Internet

https://www.mdpi.com/2073-8994/10/1/1

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