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Mathematics > Spectral Theory

Title: A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space

Authors: Kei Funano
(Submitted on 8 May 2023 (v1), last revised 7 Nov 2023 (this version, v2))
Abstract: We obtain a new upper bound for Neumann eigenvalues of the Laplacian on a bounded convex domain in Euclidean space. As an application of the upper bound we derive universal inequalities for Neumann eigenvalues of the Laplacian.
Comments: Final version. To appear in Can. Math. Bulletin
Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG); Metric Geometry (math.MG)
Cite as: arXiv:2305.04398 [math.SP]
  (or arXiv:2305.04398v2 [math.SP] for this version)

Submission history

From: Kei Funano [view email]
[v1] Mon, 8 May 2023 00:48:59 GMT (6kb)
[v2] Tue, 7 Nov 2023 15:42:31 GMT (6kb)
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