A two-phase problem with Robin conditions on the free boundary
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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Journal de l'École polytechnique : MathématiquesPäivämäärä
2021Tekijänoikeudet
© 2021 the Authors
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.
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https://converis.jyu.fi/converis/portal/detail/Publication/99320109
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The first author was partially supported by PRIN 2017 Nonlinear Differential Problems via Vari ational, Topological and Set-valued Methods (Grant 2017AYM8XW) and the INdAM-GNAMPA project 2020 “Problemi di ottimizzazione con vincoli via trasporto ottimo e incertezza”. The second author was partially supported by the Academy of Finland grant 314227. The third author has been partially supported by ...
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