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Level sets of the first eigenfunction from the rearrangement point of view
Author(s) -
Chu ChiePing
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310217
Subject(s) - eigenfunction , mathematics , operator (biology) , laplace transform , regular polygon , laplace operator , mathematical analysis , domain (mathematical analysis) , point (geometry) , plane (geometry) , pure mathematics , dirichlet distribution , combinatorics , geometry , eigenvalues and eigenvectors , physics , chemistry , boundary value problem , biochemistry , repressor , quantum mechanics , transcription factor , gene
The level curves of the first Dirichlet eigenfunction for the Laplace operator of a convex plane domain is convex. We make this observation by a new rearrangement technique. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)