Geodesic
Schrödinger-Poisson equations with supercritical growth
Electronic journal of differential equations, Tome 2011 (2011)
In this article, we study a class of Schrodinger-Poisson equations in R^3 with supercritical growth. We prove the existence of positive solutions, using variational methods combined with perturbation arguments. The solutions to subcritical Schrodinger-Poisson equations are estimated using the L-infinity norm.
Classification : 35J20, 35J65
Keywords: supercritical problems, Schrödinger-Poisson equation, variational method 
@article{EJDE_2011__2011__a82,
     author = {Alves,  Claudianor O. and Soares,  S\'ergio H.M. and Souto,  Marco A.S.},
     title = {Schr\"odinger-Poisson equations with supercritical growth},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1221.35113},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a82/}
}
TY  - JOUR
AU  - Alves,  Claudianor O.
AU  - Soares,  Sérgio H.M.
AU  - Souto,  Marco A.S.
TI  - Schrödinger-Poisson equations with supercritical growth
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a82/
LA  - en
ID  - EJDE_2011__2011__a82
ER  - 
%0 Journal Article
%A Alves,  Claudianor O.
%A Soares,  Sérgio H.M.
%A Souto,  Marco A.S.
%T Schrödinger-Poisson equations with supercritical growth
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a82/
%G en
%F EJDE_2011__2011__a82
Alves,  Claudianor O.; Soares,  Sérgio H.M.; Souto,  Marco A.S. Schrödinger-Poisson equations with supercritical growth. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a82/