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math.AP2022★ 1 cited
An isoperimetric result for an energy related to the -capacity
Paolo Acampora, Emanuele Cristoforoni
In this paper, we generalize the notion of relative -capacity of with respect to , by replacing the Dirichlet boundary condition with a Robin one. We show that, under vol…
math.AP2022★ 2 cited
A free boundary problem for the p-Laplacian with nonlinear boundary conditions
Paolo Acampora, Emanuele Cristoforoni
We study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets , and we search for an opti…
math.AP2022★ 4 cited
A free boundary problem in thermal insulation with a prescribed heat source
Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch +1
We study the thermal insulation of a bounded body , under a prescribed heat source , via a bulk layer of insulating material. We consider a model of heat…