Premium
Convexity in x of the level sets of the first Dirichlet eigenfunction
Author(s) -
Chu ChiePing
Publication year - 2007
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.200410559
Subject(s) - mathematics , convexity , eigenfunction , conjecture , dirichlet distribution , pure mathematics , regular polygon , domain (mathematical analysis) , mathematical analysis , combinatorics , boundary value problem , geometry , eigenvalues and eigenvectors , physics , quantum mechanics , financial economics , economics
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)
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom