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

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.

arXiv commentFinal version. To appear in Can. Math. Bulletin