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A sharp two-disk bound for the second positive Neumann eigenvalue under a curvature upper bound
Langford and Laugesen conjectured a sharp two-disk bound for the third Neumann eigenvalue under an upper Gaussian-curvature bound (Math. Ann. 386 (2023), 2255--2281, Conjecture 1.4). We prove the conjectured bound for bounded Lipschitz membranes with the weight regularity used by Langford and Lauges
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