Zobrazeno 1 - 10
of 255
pro vyhledávání: '"A. Lyaghfouri"'
Autor:
Lyaghfouri, Abdeslem
We investigate a class of n-dimensional free boundary elliptic problems which includes the dam problem, the aluminum problem, and the lubrication problem. We establish that the free boundary in this class is a porous set, which implies its Hausdorff
Externí odkaz:
http://arxiv.org/abs/2402.17676
Autor:
Lyaghfouri, Abdeslem
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 in at least one direction. The novelty in this regularity result lies i
Externí odkaz:
http://arxiv.org/abs/2206.10239
Autor:
Lyaghfouri, Abdeslem
In this paper, we establish higher integrability of the gradient of the solution of the quasilinear elliptic equation $\Delta_Au=\text{div}\left(\frac{a(|F|)}{|F|}F\right)$ in $\mathbb{R}^n$, where $\Delta_Au$ is the so called A-Laplace operator.
Externí odkaz:
http://arxiv.org/abs/2104.08831
Autor:
Lyaghfouri, A.
We show that bounded solutions of the quasilinear elliptic equation $\Delta_{p(x)} u=g+div(\textbf{F})$ are locally H\"{o}lder continuous provided that the functions $g$ and $\textbf{F}$ are in suitable Lebesgue spaces.
Externí odkaz:
http://arxiv.org/abs/2010.13131
Autor:
Lyaghfouri, Abdeslem
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.
Externí odkaz:
http://arxiv.org/abs/1909.02932
Autor:
Challal, Samia, Lyaghfouri, Abdeslem
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 continuous functions.
Externí odkaz:
http://arxiv.org/abs/1906.11791
Autor:
Challal, S., Lyaghfouri, A.
In this paper we prove local interior and boundary Lipschitz continuity of solutions of a free boundary problem involving the $A$-Laplacian. We also show that the free boundary is represented locally by graphs of a family of lower semi-continuous fun
Externí odkaz:
http://arxiv.org/abs/1906.06511
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 us to reduce the problem to the one studied in [14].
Externí odkaz:
http://arxiv.org/abs/1901.00571
Autor:
Lyaghfouri, Abdeslem
In this paper we establish the exact growth of the solution of the singular quasilinear p-parabolic obstacle problem near the free boundary from which we deduce its porosity.
Externí odkaz:
http://arxiv.org/abs/1508.07623
We establish uniqueness of the solution of the unsteady state dam problem in the heterogeneous and rectangular case assuming the dam wet at the bottom and dry near to the top.
Externí odkaz:
http://arxiv.org/abs/1508.02938