Calculus of Variations and Geometric Measure Theory

S. Guarino Lo Bianco - D. A. La Manna - B. Velichkov

Free boundary cluster with Robin condition on the transmission interface

created by guarinolo on 01 Apr 2022
modified by lamanna on 04 Apr 2025

[BibTeX]

Published Paper

Inserted: 1 apr 2022
Last Updated: 4 apr 2025

Journal: Calc. Var.
Volume: 64
Number: 4
Year: 2025
Doi: https://doi.org/10.1007/s00526-024-02864-9

Abstract:

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.

Keywords: Free boundary, free interface, transmission problems, Robin boundary conditions.


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