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arxiv: 0803.4242 · v1 · submitted 2008-03-29 · 🧮 math.AP · math.OC

Some isoperimetric inequalities with application to the Stekloff problem

classification 🧮 math.AP math.OC
keywords isoperimetricapplicationinequalitiesproblemproductsomestekloffeigenvalues
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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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