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math.AP2017
A free boundary optimization problem for the -Laplacian
Rafayel Teymurazyan, José Miguel Urbano
We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence…
math.AP2017
Existence and boundary regularity for degenerate phase transitions
Paolo Baroni, Tuomo Kuusi, Casimir Lindfors +1
We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the p…