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Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well
Journal of Mathematical Physics ( IF 1.2 ) Pub Date : 2016-03-01 , DOI: 10.1063/1.4941036
Miao Du 1 , Lixin Tian 1 , Jun Wang 2 , Fubao Zhang 3
Affiliation  

In this paper, we are concerned with a class of Schrödinger-Poisson systems with the asymptotically linear or asymptotically 3-linear nonlinearity. Under some suitable assumptions on V, K, a, and f, we prove the existence, nonexistence, and asymptotic behavior of solutions via variational methods. In particular, the potential V is allowed to be sign-changing for the asymptotically linear case.

中文翻译:

具有陡峭势阱的非线性薛定谔-泊松系统解的存在性和渐近行为

在本文中,我们关注一类具有渐近线性或渐近 3 线性非线性的薛定谔-泊松系统。在 V、K、a 和 f 的一些合适假设下,我们通过变分方法证明了解的存在、不存在和渐近行为。特别是,对于渐近线性的情况,允许电位 V 是符号变化的。
更新日期:2016-03-01
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