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Ground States for a Class of Nonlinear Schrodinger-Poisson Systems with Positive Potential

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52957#.VK3oWcnQrzE Author(s)     Guoqing Zhang , Xue Chen Affiliation(s) College of Sciences, University of Shanghai for Science and Technology, Shanghai, China . ABSTRACT Based on Nehari manifold, Schwarz symmetric methods and critical point theory, we prove the existence of positive radial ground states for a class of Schrodinger-Poisson systems in , which doesn’t require any symmetry assumptions on all potentials. In particular, the positive potential is interesting in physical applications.   KEYWORDS Ground States , Schrodinger-Poisson Systems Cite this paper Zhang, G. and Chen, X. (2015) Ground States for a Class of Nonlinear Schrodinger-Poisson Systems with Positive Potential. Applied Mathematics , 6 , 28-36. doi: 10.4236/am.2015.61004 .   References [ 1 ] D’Aprile, T. and Mugnai, D. (2004) Solitary Waves for N...