Department of Mathematics

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Open Access
Porosity of free boundaries in A-obstacle problems
(Elsevier, 2009-04-08) Challal, S; Lyaghfouri, A
We establish the exact growth of the solution of the A-obstacle problem near the free boundary from which we deduce its porosity.
Open Access
Regularity results for a quasilinear free boundary problem
(Vilnius Gediminas Technical University, 2020-05-13) Challal, Samia; Lyaghfouri, Abdeslem
In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.