The calibration method for the Thermal Insulation functional

Camille Labourie (1) , Emmanouil Milakis (1)

1 UCY - University of Cyprus [Nicosia]

We provide minimality criteria for functionals arising in the theory of Thermal Insulation. We expand the principle of calibrations for minimizers in this type of problems.

Mots clés: calibrations; minimality; thermal insulation; free boundary

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Camille Labourie, Emmanouil Milakis. The calibration method for the Thermal Insulation functional. 2021. ⟨hal-03256818v1⟩