Electron. J. Diff. Equ.,
Vol. 2011(2011), No. 01, pp. 1-11.
Schrodinger-Poisson equations with supercritical growth
Claudianor O. Alves, Sergio H. M. Soares, Marco A. S. Souto
Abstract:
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.
Submitted June 1, 2010. Published January 4, 2011.
Math Subject Classifications: 35J20, 35J65.
Key Words: Supercritical problems; Schrodinger-Poisson equation;
variational method.
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Claudianor O. Alves
Unidade Acadêmica de Matemática e Estatística
Universidade Federal de Campina Grande
58109-970, Campina Grande - PB, Brazil
email: coalves@dme.ufcg.edu.br
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Sérgio H. M. Soares
Departamento de Matemática
Instituto de Ciências Matemáticas e de
Computação
Universidade de São Paulo,
13560-970, São Carlos - SP, Brazil
email: monari@icmc.usp.br
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Marco Aurelio S. Souto
Unidade Acadêmica de Matemática e Estatística
Universidade Federal de Campina Grande
58109-970, Campina Grande - PB, Brazil
email: marco@dme.ufcg.edu.br, Phone +5583-3310-1501, Fax +5583-3310-1112
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