Level sets of the first eigenfunction from the rearrangement point of view | Zendy

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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)

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