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arxiv: 1903.04964 · v2 · pith:NFLX5XNUnew · submitted 2019-03-12 · 🧮 math.AP

A quantitative Weinstock inequality

classification 🧮 math.AP
keywords inequalityquantitativeconvexweinstockboundarydevoteddimensioneigenvalue
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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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