
arXiv: 2204.00381
handle: 11588/987831 , 11380/1369889
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
Optimization of shapes other than minimal surfaces, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Smoothness and regularity of solutions to PDEs, 35R35, 49Q10, interface between the two phases, FOS: Mathematics, Free boundary problems for PDEs, two space dimensions, Analysis of PDEs (math.AP)
Optimization of shapes other than minimal surfaces, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Smoothness and regularity of solutions to PDEs, 35R35, 49Q10, interface between the two phases, FOS: Mathematics, Free boundary problems for PDEs, two space dimensions, Analysis of PDEs (math.AP)
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