Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
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DOI：
10.1515/ans-2015-5024
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发表时间：
2015-03
影响因子：
1.8
通讯作者：
Jianjun Zhang;J. do Ó;M. Squassina
中科院分区：
文献类型：
--
作者：
Jianjun Zhang;J. do Ó;M. Squassina
摘要考虑亚临界和临界情况下具有一般非线性的分数阶薛定谔-泊松系统。Ambrosetti-Rabinowitz条件不是必需的。利用摄动方法证明了正解的存在性。此外，我们还研究了参数为零时解的渐近性。
Abstract We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.