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• W2962708731 abstract "The aim of this paper is twofold: First, we characterize an essentially optimal class of boundary operators Θ which give rise to self-adjoint Laplacians −ΔΘ,Ω in L2(Ω;dnx) with (nonlocal and local) Robin-type boundary conditions on bounded Lipschitz domains Ω⊂Rn, n∈N, n⩾2. Second, we extend Friedlander's inequalities between Neumann and Dirichlet Laplacian eigenvalues to those between nonlocal Robin and Dirichlet Laplacian eigenvalues associated with bounded Lipschitz domains Ω, following an approach introduced by Filonov for this type of problems." @default.
• W2962708731 created "2019-07-30" @default.
• W2962708731 creator A5004818206 @default.
• W2962708731 creator A5053434924 @default.
• W2962708731 date "2009-11-01" @default.
• W2962708731 modified "2023-09-23" @default.
• W2962708731 title "Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities" @default.
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• W2962708731 doi "https://doi.org/10.1016/j.jde.2009.07.007" @default.
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