Geodesic
Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic journal of differential equations, Tome 2005 (2005)
We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain solutions using the Mountain Pass lemma and the Saddle Point theorem. Our paper extends some recent results of Goncalves, Miyagaki, and Ma.
Classification : 35A15, 35J60, 35P30, 58E05
Keywords: eigenvalue problem, semilinear elliptic equation, existence result, critical point 
@article{EJDE_2005__2005__a9,
     author = {Dinu,  Teodora-Liliana},
     title = {Subcritical perturbations of resonant linear problems with sign-changing potential},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1210.35104},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a9/}
}
TY  - JOUR
AU  - Dinu,  Teodora-Liliana
TI  - Subcritical perturbations of resonant linear problems with sign-changing potential
JO  - Electronic journal of differential equations
PY  - 2005
VL  - 2005
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a9/
LA  - en
ID  - EJDE_2005__2005__a9
ER  - 
%0 Journal Article
%A Dinu,  Teodora-Liliana
%T Subcritical perturbations of resonant linear problems with sign-changing potential
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a9/
%G en
%F EJDE_2005__2005__a9
Dinu,  Teodora-Liliana. Subcritical perturbations of resonant linear problems with sign-changing potential. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a9/