Sharp inequalities for solutions to elliptic problems with mixed boundary conditions | Vidéo | Carmin.tv

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Sharp inequalities for solutions to elliptic problems with mixed boundary conditions

By Cristina Trombetti

Appears in collection : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variations

We show, using symmetrization techniques, that it is possible to prove a comparison principle (we are mainly focused on L1 comparison) between solutions to an elliptic partial differential equation on a smooth bounded set Ω with a rather general boundary condition, and solutions to a suitable related problem defined on a ball having the same volume as Ω. This includes for instance mixed problems.

Information about the video

Date of recording 02/04/2021
Date of publication 20/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19738503
Cite this video Trombetti, Cristina (02/04/2021). Sharp inequalities for solutions to elliptic problems with mixed boundary conditions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19738503
URL https://dx.doi.org/10.24350/CIRM.V.19738503

Domain(s)

Analysis of PDEs

Bibliography

ALVINO, A., CHIACCHIO, F., NITSCH, C., et al. Sharp estimates for solutions to elliptic problems with mixed boundary conditions. Journal de Mathématiques Pures et Appliquées, 2020. - https://doi.org/10.1016/j.matpur.2020.12.003

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