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Rearrangements and Convexity of Level Sets in PDE

✍ Scribed by Bernhard Kawohl

Book ID
127405957
Publisher
Springer
Year
1985
Tongue
English
Weight
658 KB
Series
Lecture Notes in Mathematics
Edition
1
Category
Library
ISBN
3540156933

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πŸ“œ SIMILAR VOLUMES

Variational and PDE level set methods
Variational and PDE level set methods
✍ B. JΓΌttler; H. Pottmann; O. Scherzer πŸ“‚ Article πŸ“… 2007 πŸ› Springer Vienna 🌐 English βš– 80 KB
Convexity in x of the level sets of the
Convexity in x of the level sets of the first Dirichlet eigenfunction
✍ Chie-Ping Chu πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 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. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)