Elliptic theta function and the best constants of Sobolev-type inequalities

DOI10.14495/JSIAML.4.1zbMATH Open1273.26028OpenAlexW2059329852MaRDI QIDQ2843196

Kazuo Takemura, Yoshinori Kametaka, Hiroyuki Yamagishi, Atsushi Nagai

Publication date: 9 August 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jsiaml&kijiCd=4_0_1&screenID=AF06S010&noVol=4&noIssue=0

zbMATH Keywords

Green's functionSobolev-type inequalityelliptic theta functionbest constant

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

The best constant of the \(L^p\) Sobolev-type inequality corresponding to elliptic operator in \(\mathbf{R}^N\)

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