Dirichlet eigenvalue sums on triangles are minimal for equilaterals

DOI10.4310/CAG.2011.v19.n5.a2zbMath1253.35087arXiv1008.1316OpenAlexW2963377074MaRDI QIDQ432550

Bartłomiej A. Siudeja, Richard Snyder Laugesen

Publication date: 4 July 2012

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1316

zbMATH Keywords

sums of Dirichlet eigenvaluesupper bounds of eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Related Items (6)

Spectral pollution and eigenvalue bounds ⋮ Sums of magnetic eigenvalues are maximal on rotationally symmetric domains ⋮ Exercises on the theme of continuous symmetrization ⋮ On mixed Dirichlet-Neumann eigenvalues of triangles ⋮ Hot spots conjecture for a class of acute triangles ⋮ Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian

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