A1 Journal article (refereed)
A two-phase problem with Robin conditions on the free boundary (2021)
Guarino Lo Bianco, S., La Manna, D. A., & Velichkov, B. (2021). A two-phase problem with Robin conditions on the free boundary. Journal de l'École polytechnique : Mathématiques, 8, 1-25. https://doi.org/10.5802/jep.139
JYU authors or editors
Publication details
All authors or editors: Guarino Lo Bianco, Serena; La Manna, Domenico Angelo; Velichkov, Bozhidar
Journal or series: Journal de l'École polytechnique : Mathématiques
ISSN: 2429-7100
eISSN: 2270-518X
Publication year: 2021
Publication date: 02/11/2020
Volume: 8
Pages range: 1-25
Publisher: Les Éditions de l'École polytechnique
Publication country: France
Publication language: English
DOI: https://doi.org/10.5802/jep.139
Publication open access: Openly available
Publication channel open access: Open Access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77378
Web address of parallel published publication (pre-print): https://arxiv.org/abs/2003.14139
Abstract
We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.
Keywords: partial differential equations; calculus of variations; mathematical optimisation
Contributing organizations
Related projects
- Variational problems of isoperimetric type. Stability and Geometric flows (research costs)
- Julin, Vesa
- Research Council of Finland
Ministry reporting: Yes
Reporting Year: 2021
JUFO rating: 1