Geodesic
Uniqueness of critical points for semi-linear Dirichlet problems in convex domains
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a241/}
}
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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/