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arXiv · 1311.2186

On Maxwell's and Poincare's Constants

Dirk Pauly
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Abstract

We prove that for bounded and convex domains in three dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincar\'e's constants. In other words, the second Maxwell eigenvalues lie between the square roots of the second Neumann-Laplace and the first Dirichlet-Laplace eigenvalue.

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Dirk Pauly. 2013-11-09. On Maxwell's and Poincare's Constants. https://arxiv.org/abs/1311.2186

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