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Eigenvalue inequalities for the Laplacian with mixed boundary conditions
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SYSNO ASEP 0475670 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Eigenvalue inequalities for the Laplacian with mixed boundary conditions Author(s) Lotoreichik, Vladimir (UJF-V) ORCID, SAI
Rohleder, J. (DE)Number of authors 2 Source Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 263, č. 1 (2017), s. 491-508Number of pages 18 s. Publication form Print - P Language eng - English Country US - United States Keywords Laplace operator ; mixed boundary conditions ; eigenvalue inequality ; polyhedral domain ; Lipschitz domain Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA14-06818S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000400123300016 EID SCOPUS 85015793178 DOI 10.1016/j.jde.2017.02.043 Annotation nequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary conditions on polyhedral and more general bounded domains are established. The eigenvalues subject to a Dirichlet boundary condition on a part of the boundary and a Neumann boundary condition on the remainder of the boundary are estimated in terms of either Dirichlet or Neumann eigenvalues. The results complement several classical inequalities between Dirichlet and Neumann eigenvalues due to Polya, Payne, Levine and Weinberger, Friedlander, and others. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2018
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