Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$

By Zhengping Wang, Huan-Song Zhou. 2007

216 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/290ac236b5f309f7d95ef45da108e2d740bdf91b

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

On the Schrödinger-Maxwell equations under the effect of a general nonlinear term (2009, background): “In [9, 11, 27 ], also the linear and the asymptotic linear case have been studied, whereas in [22] the problem has been dealt with in a bounded domain, with Neumann conditions on the boundary.”
Existence and concentration of positive solutions for semilinear Schrödinger–Poisson systems in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin} (2012, unknown): “, ε = 1, see the papers [15,16,25,31,35,10,11,5] and the reference therein.”
Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, background): “Here, we would also like to mention the papers [4,14,15,17,21,29] for related topics.”
The concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system (2017, unknown): “See [1,25,36,44,48] and the references therein for the existence of solutions.”