Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

D. Bucur - V. Ferone - C. Nitsch - C. Trombetti

Weinstock inequality in higher dimensions

created by bucur on 13 Oct 2017

[BibTeX]

Submitted Paper

Inserted: 13 oct 2017
Last Updated: 13 oct 2017

Year: 2017

ArXiv: 1710.04587 PDF

Abstract:

We prove that the Weinstock inequality for the first nonzero Steklov eigenvalue holds in $\R^n$, for $n\ge 3$, in the class of convex sets with prescribed surface area. The key result is a sharp isoperimetric inequality involving simultanously the surface area, the volume and the boundary momentum of convex sets. As a by product, we also obtain some isoperimetric inequalities for the first Wentzell eigenvalue.

Credits | Cookie policy | HTML 5 | CSS 2.1