Geodesic
Schrödinger-Poisson equations with supercritical growth
Electronic Journal of Differential Equations, Tome 2011 (2011).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a82/}
}
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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/