Some isoperimetric inequalities with application to the Stekloff problem

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

In this paper we establish isoperimetric inequalities for the product of some
moments of inertia. As an application, we obtain an isoperimetric inequality
for the product of the $N$ first nonzero eigenvalues of the Stekloff problem in
$\mathbb{R}^N$.

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