A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter
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.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
EDP Sciences
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202109014751Use this for linking
Review status
Peer reviewed
ISSN
1292-8119
DOI
https://doi.org/10.1051/cocv/2020079
Language
English
Published in
ESAIM : Control, Optimisation and Calculus of Variations
Citation
- 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
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Funder(s)
Research Council of Finland
Funding program(s)
Research costs of Academy Research Fellow, AoF
Akatemiatutkijan tutkimuskulut, SA
Additional information about funding
The second author was partially supported by the Academy of Finland grant 314227.
Copyright© EDP Sciences, SMAI 2021