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


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Publication details

All authors or editorsGuarino Lo Bianco, Serena; La Manna, Domenico Angelo; Velichkov, Bozhidar

Journal or seriesJournal de l'École polytechnique : Mathématiques

ISSN2429-7100

eISSN2270-518X

Publication year2021

Publication date02/11/2020

Volume8

Pages range1-25

PublisherLes Éditions de l'École polytechnique

Publication countryFrance

Publication languageEnglish

DOIhttps://doi.org/10.5802/jep.139

Publication open accessOpenly available

Publication channel open accessOpen 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.


Keywordspartial differential equationscalculus of variationsmathematical optimisation


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Ministry reportingYes

Reporting Year2021

JUFO rating1


Last updated on 2024-25-03 at 11:34