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
Keywords: critical points, semi linear Dirichlet problems
@article{EJDE_2005__2005__a41,
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__a41/}
}
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__a41/