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SLE on Doubly-Connected Domains and the Winding of

✍ Scribed by Christian Hagendorf; Pierre Le Doussal


Publisher
Springer
Year
2008
Tongue
English
Weight
591 KB
Volume
133
Category
Article
ISSN
0022-4715

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Monotone variations of the first eigenva
✍ Chie–Ping Chu; Chih Chy Fwu πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## 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