Regularity of the Free Boundary in div(a(x) grad(u(x,y)) )= -(h(x) gamma(u))_x with h'(x)<0
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Date
2021
Authors
Challal, Samia
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Abstract
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.
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Keywords
Variational methods, Free boundary problems, Linear elliptic equations
Citation
Regularity of the Free Boundary in $div(a(x) \nabla u(x,y) )= -(h(x)\gamma(u))_x$ with $h^\prime (x)<0$..
Int. J. Math. And App., 9(4)(2021), 1-11. http://ijmaa.in/v9n4/1.html