3 citations · 4 across the 5 of their papers we have counts for
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Global Higher Integrability of the Gradient of the A-Laplace Equation Solution
Abdeslem Lyaghfouri
In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation in $\mathbb{…
Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side
A. Lyaghfouri
We show that bounded solutions of the quasilinear elliptic equation are locally Hölder continuous provided that the functions and ar…
A Note on Lipschitz Continuiy of the Solutions of a Class of Elliptic Free Boundary Problems
Abdeslem Lyaghfouri
We provide a new and simple proof based on Harnack's inequality to the Lipschitz continuity of the solutions of a class of free boundary problems.
Continuity of the Free Boundary in a Problem involving the A-Laplacian
Samia Challal, Abdeslem Lyaghfouri
In this paper we investigate a two dimensional free boundary problem involving the A-Laplacian. We show that the free boundary is represented locally by graphs of a family of conti…
Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian
S. Challal, A. Lyaghfouri
In this paper we prove local interior and boundary Lipschitz continuity of solutions of a free boundary problem involving the -Laplacian. We also show that the free boundary is…
A class of free boundary problems with Neuman boundary condition
Abdeslem Lyaghfouri, Abderachid Saadi
In this work, we investigate the continuity of the free boundary in a class of elliptic problems, with Neuman boundary condition. The main idea is a change of variable that allows…