4 citations · 8 across the 8 of their papers we have counts for
3 papers · 1 filter
A free boundary problem driven by boundary distance in the coincidence set
Amal Alphonse, Marcelo Bongarti, Enrico Valdinoci
We study a free boundary problem of minimising a functional containing a non-local term rewarding depth into the zero phase: for on a bounded, open set $Ω\subset\mat…
On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
In this note, we prove that the minimal and maximal solution maps associated to elliptic quasi-variational inequalities of obstacle type are directionally differentiable with respe…
Analysis of a quasi-variational contact problem arising in thermoelasticity
Amal Alphonse, Carlos N. Rautenberg, José Francisco Rodrigues
We formulate and study two mathematical models of a thermoforming process involving a membrane and a mould as implicit obstacle problems. In particular, the membrane-mould coupling…