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Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities

Journal of Differential Equations, no. 10 (2009): 2871-2896

Cited: 61|Views26
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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 D...More

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