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On the \(L^\infty\) norm of the first eigenfunction of the Dirichlet Laplacian

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Publication:1841537
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DOI10.1023/A:1026452623177zbMath0965.35034OpenAlexW1593742491MaRDI QIDQ1841537

Michiel van den Berg

Publication date: 18 February 2001

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026452623177


zbMATH Keywords

LaplacianeigenfunctionDirichletconic sector


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (3)

Location of maximizers of eigenfunctions of fractional Schrödinger's equations ⋮ A spectral gap estimate and applications ⋮ Localisation of the first eigenfunction of a convex domain







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