A quantitative Weinstock inequality

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 ${\mathbb{R}}^n$, $n\ge 2$.

Some misprints were corrected