期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 73, 期 10, 页码 3171-3178出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.06.072
关键词
Schrodinger-Newton equations; Nonlinear Schrodinger equation
We prove the existence of quasi-stationary symmetric solutions with exactly n >= 0 zeros and uniqueness for n = 0 for the Schrodinger-Newton model in one dimension and in two dimensions along with an angular momentum m >= 0. Our result is based on an analysis of the corresponding system of second-order differential equations. (C) 2010 Elsevier Ltd. All rights reserved.
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