Continuity of the free boundary in elliptic problems with Neumann boundary condition
Electronic journal of differential equations, Tome 2015 (2015)
We show the continuity of the free boundary in a class of two dimensional free boundary problems with Neuman boundary condition, which includes the aluminium electrolysis problem and the heterogeneous dam problem with leaky boundary condition.
Classification : 35J15, 35R35
Keywords: continuity, free boundary, neuman boundary condition
@article{EJDE_2015__2015__a83,
     author = {Saadi,  Abderachid},
     title = {Continuity of the free boundary in elliptic problems with {Neumann} boundary condition},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1322.35014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a83/}
}
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JO  - Electronic journal of differential equations
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%A Saadi,  Abderachid
%T Continuity of the free boundary in elliptic problems with Neumann boundary condition
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a83/
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%F EJDE_2015__2015__a83
Saadi,  Abderachid. Continuity of the free boundary in elliptic problems with Neumann boundary condition. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a83/