English

A quantitative Weinstock inequality

Analysis of PDEs 2019-04-17 v2

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 Rn\mathbb R^n, n2n \ge 2.

Keywords

Cite

@article{arxiv.1903.04964,
  title  = {A quantitative Weinstock inequality},
  author = {Nunzia Gavitone and Domenico Angelo La Manna and Gloria Paoli and Leonardo Trani},
  journal= {arXiv preprint arXiv:1903.04964},
  year   = {2019}
}

Comments

Some misprints were corrected

R2 v1 2026-06-23T08:05:45.709Z