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.
A two-phase problem with Robin conditions on the free boundary / Lo Bianco, S. G.; la Manna, D. A.; Velichkov, B.. - In: JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES. - ISSN 2429-7100. - 8:(2020), pp. 1-25. [10.5802/JEP.139]
A two-phase problem with Robin conditions on the free boundary
Lo Bianco S. G.;
2020
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
JEP_2021__8__1_0.pdf
Open access
Tipologia:
Versione pubblicata dall'editore
Dimensione
975.14 kB
Formato
Adobe PDF
|
975.14 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
