The best constant of three kinds of the discrete Sobolev inequalities on the complete graph

DOI10.2996/KMJ/1404393893zbMath1310.46037OpenAlexW2062570610MaRDI QIDQ740761

Kohtaro Watanabe, Hiroyuki Yamagishi, Yoshinori Kametaka

Publication date: 9 September 2014

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1404393893

zbMATH Keywords

discrete Laplaciandiscrete heat kerneldiscrete Sobolev inequalityGreen's matrixreproducing relation

Mathematics Subject Classification ID

Heat kernel (35K08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (3)

A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph ⋮ The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers ⋮ The existence of extremal functions for discrete Sobolev inequalities on lattice graphs

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