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math.AP2020★ 4 cited
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…
math.AP2020
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…