Minimizing Neumann fundamental tones of triangles: an optimal Poincare inequality release_rev_1ec99882-8541-4a71-9265-1f26b89720a9

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

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)

This is a specific, static metadata record, not necessarily linked to any current entity in the catalog.

Catalog Record
Revision: 1ec99882-8541-4a71-9265-1f26b89720a9