3 citations · 4 across the 10 of their papers we have counts for
10 papers
Lipschitz Continuity for Elliptic Free Boundary Problems with Dini Mean Oscillation Coefficients
Abdeslem Lyaghfouri
We establish local interior Lipschitz continuity of the solutions of a class of free boundary elliptic problems assuming the coefficients of the equation of Dini mean oscillation i…
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…