Infinitely many solutions for a class of superlinear Dirac-Poisson system
Infinitely many solutions for a class of superlinear Dirac-Poisson system
复制标题
一类超线性狄拉克-泊松系统的无穷多个解
DOI：
10.1016/j.aml.2018.01.009
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发表时间：
2018
影响因子：
3.7
通讯作者：
Jiang Weijin
中科院分区：
文献类型：
--
作者：
Zhang Wen;Zhang Jian;Jiang Weijin
研究非线性Dirac-Poisson方程组− i∑ k= 1 3 α k <$ku+（V（x）+ a）β u+ ω u− <$u= Fu（x，u），− Δ <$= 4 π| u| 2，在R 3中，其中V是外部电势，F是模拟各种类型的相互作用的超线性非线性。利用变分方法得到了周期条件下系统平稳解的存在性和多解性。
This paper is concerned with the nonlinear Dirac–Poisson system− i∑ k= 1 3 α k∂ k u+(V (x)+ a) β u+ ω u− ϕ u= F u (x, u),− Δ ϕ= 4 π| u| 2, in R 3 where V is an external potential and F is a superlinear nonlinearity modeling various types of interactions. Existence and multiplicity of stationary solutions are obtained for the system with periodicity condition via variational methods.