In this article, we study the nonlinear Schrodinger-Poisson equation
Under suitable assumptions on V(x) and f(s), we prove the existence of ground state solution around local minima of the potential V(x) as . Also, we show the exponential decay of ground state solution.
Submitted August 14, 2015. Published March 17, 2016.
Math Subject Classifications: 35B38, 35J20, 35J50.
Key Words: Schrodinger-Poisson system; semi-classical states; variational method.
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| Hongbo Zhu |
School of Mathematics and Statistics
Central China Normal University
Wuhan 430079, China
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