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An optimal insulation problem

An optimal insulation problem

Abstract In this paper we consider a minimization problem which arises from thermal insulation. A compact connected set K , which represents a conductor of constant temperature, say 1, is thermally insulated by surrounding it with a layer of thermal insulator, the open set $$\Omega {\setminus } K$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> …