Challal, Samia2025-03-102025-03-102020-05-13Samia Challal. (2021). A barrier function for the regularity of the free boundary in div(a(x) grad(u) )= -(h(x) gamma)_x with h'(x) < 0. International Journal of Mathematics And Its Applications, 9(4), 35–43. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/262347-1557https://hdl.handle.net/10315/42663https://ijmaa.in/index.php/ijmaa/article/view/26A barrier function is compared to the solution of a class of two dimensional problems near a free boundary point. A regularity of the free boundary is established.OnlineenAttribution-NonCommercial 4.0 InternationalA barrier function for the regularity of the free boundary in $div(a(x) \nabla u )= -(h(x)\gamma)_x$ with $h_x < 0$ArticlePublisher's own licence