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math.AP2024
Porosity of the Free Boundary in a Class of Higher-Dimensional Elliptic Problems
Abdeslem Lyaghfouri
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 fre…
math.AP2010
On the A-Obstacle Problem and the Hausdorff Measure of its Free Boundary
S. Challal, A. Lyaghfouri, J. F. Rodrigues
In this paper we prove existence and uniqueness of an entropy solution to the A-obstacle problem, for L^1 data. We also extend the Lewy-Stampacchia inequalities to the general fram…