Electronic Journal of Differential Equations,
Vol. 2011(2011), No. 01, pp. 1-11.

Title: Schrodinger-Poisson equations with supercritical growth

Authors: Claudianor O. Alves (Univ. Federal de Campina Grande, Brazil)
         Sergio H. M. Soares (Univ. de Sao Paulo, Brazil)
	 Marco A. S. Souto   (Univ. Federal de Campina Grande, Brazil)

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 04, 2011.
Math Subject Classifications: 35J20, 35J65.
Key Words: Supercritical problems; Schrodinger-Poisson equation;
           variational method.