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Nehari type ground state solutions for periodic Schrödinger–Poisson systems with variable growth
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-28 , DOI: 10.1080/17476933.2020.1843643 Limin Zhang 1 , Xianhua Tang 1 , Sitong Chen 1
中文翻译:
具有可变增长的周期性薛定谔-泊松系统的 Nehari 型基态解
更新日期:2020-12-28
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-28 , DOI: 10.1080/17476933.2020.1843643 Limin Zhang 1 , Xianhua Tang 1 , Sitong Chen 1
Affiliation
In this paper, we deal with the variable growth Schrödinger–Poisson Systems in : where and , and are periodic in x. We use the non-Nehari manifold approach to establish the existence of the Nehari type ground state solutions, under the condition: for all , t>0, and the constant , where as and as t<1. In particular, some new inequalities and tricks are used to overcome the difficulties caused by the variable exponent.
中文翻译:
具有可变增长的周期性薛定谔-泊松系统的 Nehari 型基态解
在本文中,我们处理变量增长薛定谔-泊松系统:在哪里和,和在x中是周期性的。我们使用非 Nehari 流形方法来确定 Nehari 型基态解的存在性,条件是:对所有人, t >0,和常数, 在哪里作为和当t <1。特别是,一些新的不等式和技巧被用来克服可变指数带来的困难。