Positive bound state solutions for some Schrodinger-Poisson systems

被引：53

作者：

Cerami, Giovanna ^{[1
]}

Molle, Riccardo ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Matemat, Via Amendola 126-B, I-70126 Bari, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

来源：

NONLINEARITY | 2016年 / 29卷 / 10期

关键词：

Schrodinger-Poisson systems; nonsymmetric coefficients; bound state solutions; MAXWELL EQUATIONS; EXISTENCE; POTENTIALS;

D O I：

10.1088/0951-7715/29/10/3103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with a class of Schrodinger-Poisson systems, where the coupling term and the other coefficients do not have any symmetry property. Moreover, the setting we consider does not allow the existence of ground state solutions. Under suitable assumptions on the decay rate of the coefficients, we prove existence of a bound state, finite energy solution.

引用

页码：3103 / 3119

页数：17

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