A1 Journal article (refereed)
A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter (2021)

Cito, S., & La Manna, D. A. (2021). A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter. ESAIM : Control, Optimisation and Calculus of Variations, 27(Supplement), Article S23. https://doi.org/10.1051/cocv/2020079

JYU authors or editors

Publication details

All authors or editors: Cito, Simone; La Manna, Domenico Angelo

Journal or series: ESAIM : Control, Optimisation and Calculus of Variations

ISSN: 1292-8119

eISSN: 1262-3377

Publication year: 2021

Volume: 27

Issue number: Supplement

Article number: S23

Publisher: EDP Sciences

Publication country: France

Publication language: English

DOI: https://doi.org/10.1051/cocv/2020079

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77626

Abstract

The aim of this paper is to prove a quantitative form of a reverse Faber-Krahn type inequality for the first Robin Laplacian eigenvalue λβ with negative boundary parameter among convex sets of prescribed perimeter. In that framework, the ball is the only maximizer for λβ and the distance from the optimal set is considered in terms of Hausdorff distance. The key point of our stategy is to prove a quantitative reverse Faber-Krahn inequality for the first eigenvalue of a Steklov-type problem related to the original Robin problem.

Keywords: partial differential equations; eigenvalues; calculus of variations; mathematical optimisation

Free keywords: Robin eigenvalue; quantitative isoperimetric inequality; convex sets

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Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 1