Sobolev inequality of free boundary value problem for \((-1)^{M}(d/dx)^{2M}\)

DOI10.1186/S13660-015-0568-9zbMath1335.46032OpenAlexW2110571212WikidataQ59404418 ScholiaQ59404418MaRDI QIDQ2261986

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

Publication date: 13 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0568-9

zbMATH Keywords

Green functionSobolev inequalitybest constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Green's functions for ordinary differential equations (34B27)

Related Items (1)

Classical Sobolev orthogonal polynomials: eigenvalue problem

Cites Work

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• Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables
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• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• The best constant of Sobolev inequality on a bounded interval
• Reproducing Kernels ofH^m(a, b) (m= 1, 2, 3) and Least Constants in Sobolev’s Inequalities

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