Maximization of the second non-trivial Neumann eigenvalue

DOI10.4310/ACTA.2019.v222.n2.a2zbMath1423.35271arXiv1801.07435WikidataQ127750821 ScholiaQ127750821MaRDI QIDQ2003631

Dorin Bucur, Antoine Henrot

Publication date: 9 July 2019

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07435

zbMATH Keywords

isoperimetric inequalityshape optimizationPolya's conjecturesecond positive Neumann eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20)

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