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arXiv · 1903.04964

A quantitative Weinstock inequality

Nunzia Gavitone·Domenico Angelo La Manna·Gloria Paoli·Leonardo Trani
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Abstract

The paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of Laplace operator for convex sets. The key rule is played by a quantitative isoperimetric inequality which involves the boundary momentum, the volume and the perimeter of a convex open set of $\mathbb R^n$, $n \ge 2$.

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Nunzia Gavitone, Domenico Angelo La Manna, Gloria Paoli, Leonardo Trani. 2019-03-12. A quantitative Weinstock inequality. https://arxiv.org/abs/1903.04964

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