Regularity of the Free Boundary in $div(a(x) \nabla u(x,y) )= -(h(x)\gamma(u))

Challal, Samia2025-03-212025-03-212021-12-15Samia Challal. (2021). Regularity of the Free Boundary in with . International Journal of Mathematics And Its Applications, 9(4), 1–11. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/232347-1557https://ijmaa.in/index.php/ijmaa/article/view/23https://hdl.handle.net/10315/42683This article is published under a Creative Commons CC-BY-NC licence.A free boundary problem of type div(a(x)∇u) = −(h(x)γ(u))x with hx < 0 is considered. A regularity of the free boundary as a curve y = Φ(x) is established using a local monotony bux − uy < 0 close to free boundary points.OnlineenAttribution-NonCommercial 4.0 InternationalVariational methodsFree boundary problemsLinear elliptic equationsRegularity of the Free Boundary in $div(a(x) \nabla u(x,y) )= -(h(x)\gamma(u))_x$ with $h^\prime (x)<0$ArticlePublisher's own licence