Some estimates for the higher eigenvalues of sets close to the ball

DOI10.4171/JST/280zbMath1434.49034arXiv1705.10575OpenAlexW2972486649MaRDI QIDQ2301864

Dario Mazzoleni, Aldo Pratelli

Publication date: 25 February 2020

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10575

zbMATH Keywords

eigenvaluesshape optimizationDirichlet Laplacianspectral inequalitites

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 eigenvalues of operators (49R05)

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