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On the stability of the Bossel-Daners inequality
Multi angle
Authors : Trombetti, Cristina (Author of the conference)
CIRM (Publisher )
35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
47J30 - variational methods
49K20 - Optimal control problems with PDE (optimality conditions)
49Q10 - Optimization of shapes other than minimal surfaces
Additional resources :
http://www.cirm-math.fr/ProgWeebly/Renc1489/Trombetti.pdf
CIRM (Publisher )
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Abstract :
The Bossel-Daners is a Faber-Krahn type inequality for the first Laplacian eigenvalue with Robin boundary conditions. We prove a stability result for such inequality.
MSC Codes : 35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35P15 - Estimation of eigenvalues and upper and lower bounds for PD operators
47J30 - variational methods
49K20 - Optimal control problems with PDE (optimality conditions)
49Q10 - Optimization of shapes other than minimal surfaces
Additional resources :
http://www.cirm-math.fr/ProgWeebly/Renc1489/Trombetti.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/12/2016 Conference Date : 24/11/16 Subseries : Research talks arXiv category : Analysis of PDEs ; Optimization and Control Mathematical Area(s) : Control Theory & Optimization ; PDE Format : MP4 (.mp4) - HD Video Time : 00:38:07 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-11-24_Trombetti.mp4 
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Information on the Event
Event Title : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnellesEvent Organizers : Bucur, Dorin ; Buttazzo, Giuseppe ; Henrot, Antoine ; Pratelli, Aldo Dates : 21/11/16 - 25/11/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1489.html
Citation Data
DOI : 10.24350/CIRM.V.19095403Cite this video as: Trombetti, Cristina (2016). On the stability of the Bossel-Daners inequality. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19095403 URI : http://dx.doi.org/10.24350/CIRM.V.19095403 |
See Also
- [Multi angle] Regularity of the optimal sets for spectral functionals. Part I: sum of eigenvalues / Author of the conference Terracini, Susanna.
- [Multi angle] A minimaxmax problem for improving the torsional stability of rectangular plates / Author of the conference Gazzola, Filippo.
- [Multi angle] Isoperimetry with density / Author of the conference Morgan, Frank.
- [Post-edited] Some new inequalities for the Cheeger constant / Author of the conference Fragalà, Ilaria.
Bibliography
- Bucur, D., Ferone, V., Nitsch, C., & Trombetti, C. (2016). The quantitative Faber-Krahn inequality for the Robin Laplacian.
