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Neumann eigenvalue sums on triangles are (mostly) minimal for equilaterals

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Publication:2885357
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DOI10.7153/MIA-15-32zbMath1238.35074arXiv1102.0071OpenAlexW2963872746MaRDI QIDQ2885357

Zhicong Pan, S. S. Son, Richard Snyder Laugesen

Publication date: 23 May 2012

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0071


zbMATH Keywords

isoperimetricfree membraneisodiametric


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)


Related Items (2)

Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds ⋮ Sums of magnetic eigenvalues are maximal on rotationally symmetric domains







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