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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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2025, Vol.64 (1), Article 4
Main Authors: Lo Bianco, Serena Guarino, La Manna, Domenico Angelo, Velichkov, Bozhidar
Format: Article
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Free boundaries
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
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Description
Summary: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