A free boundary problem related to thermal insulation. (English) Zbl 1351.35268

The scope of the paper is to study a variational problem, that can be associated to a free boundary problem, which arises in matters connected to “thermal insulation”. The particular feature of this set optimization problem is that the boundary of the set to be optimized is not a level surface of a harmonic function, but rather a surface along which an harmonic function complies with a Robin boundary condition.


35R35 Free boundary problems for PDEs
49Q20 Variational problems in a geometric measure-theoretic setting
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