Department of Mathematics

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Open Access
A barrier function for the regularity of the free boundary in div(a(x) grad(u) )= -(h(x) gamma)_x with h'(x) < 0
(2021) Challal, Samia
A 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.
Open Access
Regularity of the Free Boundary in div(a(x) grad(u(x,y)) )= -(h(x) gamma(u))_x with h'(x)<0
(2021) Challal, Samia
A free boundary problem of type div(a(x) grad(u) )= -(h(x)gamma(u))_x with h'(x) < 0 is considered. A regularity of the free boundary as a curve y=Phi(x) is established using a local monotony b u_x-u_y <0 close to free boundary points.