✦ LIBER ✦

ON THE MODULUS OF DOUBLY-CONNECTED DOMAINS

✍ Scribed by SCHIFFER, MENAHEM

Book ID: 121720981
Publisher: Oxford University Press
Year: 1946
Tongue: English
Weight: 672 KB
Volume: os-17
Category: Article
ISSN: 0033-5606
DOI: 10.1093/qmath/os-17.1.197

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## Abstract The first Dirichlet eigenvalue for the Laplace operator of a doubly connected plane domain varies with the relative position of the inner hole. Under certain mild hypothesis it decreases as the two boundary curves get closer along some specific direction. We made this observation by ana