A quantitative Weinstock inequality for convex sets

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 t...

Full description

Saved in:
Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 59; no. 1
Main Authors Gavitone, Nunzia, La Manna, Domenico Angelo, Paoli, Gloria, Trani, Leonardo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2020
Springer Nature B.V
Subjects
Analysis
Calculus of Variations and Optimal Control; Optimization
Control
Convexity
Eigenvalues
Inequality
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
35P15
35B35
Online AccessGet full text

Cover

More Information
Summary: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 .
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-019-1642-9