ON A CLASS OF ELLIPTIC SYSTEM OF SCHRODINGER-POISSON TYPE

被引：0
作者：
Ferreira, Lucas C. F. [1 ]
Medeiros, Everaldo S. [2 ]
Montenegro, Marcelo [1 ]
机构：
[1] Univ Estadual Campinas, IMECC Dept Matemat, BR-13083859 Campinas, SP, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2014年 / 97卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Schrodinger equations; existence; symmetry; positivity; Bessel potential; KLEIN-GORDON-MAXWELL; MULTIPLE SOLITARY WAVES; GROUND-STATE SOLUTIONS; THOMAS-FERMI; EQUATIONS; MOLECULES; ATOMS; NONEXISTENCE; EXISTENCE; HARTREE;
D O I：
10.1017/S1446788714000408
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove existence and qualitative properties of solutions for a nonlinear elliptic system arising from the coupling of the nonlinear Schrodinger equation with the Poisson equation. We use a contraction map approach together with estimates of the Bessel potential used to rewrite the system in an integral form.
引用
收藏
页码：301 / 314
页数：14
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