SCHRODINGER-POISSON EQUATIONS WITH SUPERCRITICAL GROWTH

Claudianor O. Alves, Sérgio H. Monari Soares, Marco A. S. Souto · DOAJ (DOAJ: Directory of Open Access Journals) · 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.

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