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On the L∞ Norm of the First Eigenfunction of the Dirichlet Laplacian

✍ Scribed by M. van den Berg

Book ID
111562265
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
51 KB
Volume
13
Category
Article
ISSN
0926-2601

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📜 SIMILAR VOLUMES

Convexity in x of the level sets of the
Convexity in x of the level sets of the first Dirichlet eigenfunction
✍ Chie-Ping Chu 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 168 KB

## Abstract On a planar domain which is convex in __x__, the level sets of the first Dirichlet eigenfunction for Laplacian are also convex in __x__. This gives an affirmative answer to a conjecture proposed by B. Kawohl. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)