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 on 03 Oct 2022


Submitted Paper

Inserted: 1 apr 2022
Last Updated: 3 oct 2022

Year: 2022


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.