Uniqueness of critical points for semi-linear Dirichlet problems in convex domains
Electronic journal of differential equations, Tome 2005 (2005)
We establish sufficient conditions for the existence of a unique critical point for the solution to the semi linear elliptic problem $ \Delta u = f(u)+w $ with zero Dirichlet boundary condition.
Classification : 74K15, 35J05, 65M06
Keywords: critical points, semi linear Dirichlet problems
@article{EJDE_2005__2005__a241,
     author = {Arango,  Jaime},
     title = {Uniqueness of critical points for semi-linear {Dirichlet} problems in convex domains},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1134.74382},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a241/}
}
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JO  - Electronic journal of differential equations
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%A Arango,  Jaime
%T Uniqueness of critical points for semi-linear Dirichlet problems in convex domains
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a241/
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%F EJDE_2005__2005__a241
Arango,  Jaime. Uniqueness of critical points for semi-linear Dirichlet problems in convex domains. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a241/