Free boundary cluster with Robin condition on the transmission interface

We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two.

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Veröffentlicht in:Calculus of variations and partial differential equations 2025, Vol.64 (1), Article 4
Hauptverfasser: Lo Bianco, Serena Guarino, La Manna, Domenico Angelo, Velichkov, Bozhidar
Format: Artikel
Sprache:eng
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Zusammenfassung:We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-024-02864-9