The best constant of three kinds of discrete Sobolev inequalities on regular polyhedron

DOI10.3836/TJM/1374497523zbMath1288.46028OpenAlexW1975161087MaRDI QIDQ367031

Yoshinori Kametaka, Atsushi Nagai, Hiroyuki Yamagishi, Kohtaro Watanabe, Kazuo Takemura

Publication date: 25 September 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1374497523

zbMATH Keywords

Green matrixbest constantgraph Laplaciandiscrete Sobolev inequality

Mathematics Subject Classification ID

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

Related Items (4)

Two types of discrete Sobolev inequalities on a weighted Toeplitz 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 ⋮ SHARP CONSTANTS OF DISCRETE SOBOLEV INEQUALITIES ON A CYCLIC RECTANGULAR LATTICE

Cites Work

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• The best constant of discrete Sobolev inequality on the C60 fullerene buckyball
• Discrete Bernoulli Polynomials and the Best Constant of the Discrete Sobolev Inequality
• Eigenvalues of Graphs and Sobolev Inequalities

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