Convexity in x of the level sets of the
β
Chie-Ping Chu
π
Article
π
2007
π
John Wiley and Sons
π
English
β 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 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)