A Weighted Sobolev-Poincare's Inequality on Infinite Networks

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Title
A Weighted Sobolev-Poincare's Inequality on Infinite Networks
Creator
Murakami Atsushi
Yamasaki Maretsugu
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 34
Start Page 45
End Page 52
Journal Identifire
ISSN 13427121
Descriptions
Inequalities on networks have played important roles in the theory of networks. We study the famous Sobolev-Poincare's inequality on infinite net-works in the weighted form. This inequality is closely related to the smallest eigenvalue of a weighted discrete Laplacian. We give a dual characterization for the smallest eigenvalue.
Subjects
Infinite Network ( Other)
Sobolev-Poincare's Inequality ( Other)
the Smallest Eigen-value ( Other)
the Discrete Laplacian ( Other)
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 2001-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123