학술논문
A quantitative Weinstock inequality for convex sets.
Document Type
Article
Source
Subject
*CONVEX sets
*ISOPERIMETRIC inequalities
*MATHEMATICAL equivalence
*QUANTITATIVE research
*
*
*
Language
ISSN
0944-2669
Abstract
This paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of the Laplace operator for convex sets. The key role is played by a quantitative isoperimetric inequality which involves the boundary momentum, the volume and the perimeter of a convex open set of R n , n ≥ 2 . [ABSTRACT FROM AUTHOR]