Regularity of the Free Boundary in $div(a(x) \nabla u(x,y) )= -(h(x)\gamma(u))_x$ with $h^\prime (x)<0$
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Date
2021-12-15
Authors
Challal, Samia
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Abstract
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.
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This article is published under a Creative Commons CC-BY-NC licence.
Keywords
Variational methods, Free boundary problems, Linear elliptic equations
Citation
Samia 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/23