Minimizing Neumann fundamental tones of triangles: an optimal Poincare inequality release_lls2te2r75f4rfe6savmmvi5wi

by R. Laugesen, B. Siudeja

Released as a article .



The first nonzero eigenvalue of the Neumann Laplacian is shown to be minimal for the degenerate acute isosceles triangle, among all triangles of given diameter. Hence an optimal Poincaré inequality for triangles is derived. The proof relies on symmetry of the Neumann fundamental mode for isosceles triangles with aperture less than π/3. Antisymmetry is proved for apertures greater than π/3.
In text/plain format

Archived Files and Locations

application/pdf  221.8 kB
file_krkj5w54znaqhg3zqaxujrl5lu (webarchive) (repository)
Read Archived PDF
Type  article
Stage   submitted
Date   2009-07-09
Version   v1
Language   en ?
arXiv  0907.1552v1
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 1ec99882-8541-4a71-9265-1f26b89720a9