Department of Mathematics
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Browsing Department of Mathematics by Subject "A-Laplacian"
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Item Open Access Porosity of free boundaries in A-obstacle problems(Elsevier, 2009-04-08) Challal, S; Lyaghfouri, AWe establish the exact growth of the solution of the A-obstacle problem near the free boundary from which we deduce its porosity.Item Open Access Regularity results for a quasilinear free boundary problem(Vilnius Gediminas Technical University, 2020-05-13) Challal, Samia; Lyaghfouri, AbdeslemIn 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.Item Open Access Second Order Regularity for the A-Laplace Operator(Springer Nature, 2010-04-22) Challal, Samia; Lyaghfouri, AbdeslemIn this paper we establish second order regularity for the quasilinear elliptic equation ΔAu = f, where ΔA is the so called A-Laplace operator.