Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
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DOI：
10.1016/j.jde.2013.03.005
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发表时间：
2013-07
影响因子：
2.4
通讯作者：
Leiga Zhao;Haidong Liu;Fukun Zhao
中科院分区：
文献类型：
--
作者：
Leiga Zhao;Haidong Liu;Fukun Zhao
本文研究了一类薛定谔-泊松方程组，其中λ>0是参数，2<p<6.在V和K的适当假设下，利用变分方法得到了非平凡解的存在性和浓度结果。特别地，对于p∈（4，6）的情况，允许电势V变号。
In this paper we study a system of Schrödinger–Poisson equations where λ>0 is a parameter, 2<p<6. Under suitable assumptions on V and K, the existence of nontrivial solution and concentration results are obtained via variational methods. In particular, the potential V is allowed to be sign-changing for the case p∈(4,6).