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A note on domain monotonicity for the Neumann eigenvalues of the Laplacian (2202.03598v5)
Published 8 Feb 2022 in math.MG, math.AP, math.FA, and math.SP
Abstract: Given a convex domain and its convex sub-domain we prove a variant of domain monotonicity for the Neumann eigenvalues of the Laplacian. As an application of our method we also obtain an upper bound for Neumann eigenvalues of the Laplacian of a convex domain.
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