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

Authors :: Hiroyuki Yamagishi
Kohtaro Watanabe
Yoshinori Kametaka
Kazuo Takemura
Atsushi Nagai
Source :: JSIAM Letters. 4:1-4
Publication Year :: 2012
Publisher :: The Japan Society for Industrial and Applied Mathematics, 2012.

Subjects :: Sobolev space
Quarter period
Lemniscatic elliptic function
Half-period ratio
j-invariant
Mathematical analysis
Elliptic function
Theta function
Mathematics
Jacobi elliptic functions

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