一类带有临界增长的广义拟线性SchrO^¨dinger-Poisson系统基态变号解的存在性  

Existence of the Ground State Sign-Changing Solution for a Class of Generalized Quasilinear SchrO¨dinger-Poisson System

作　　者：褚海慧 

机构地区：[1]兰州理工大学理学院,甘肃 兰州

出　　处：《应用数学进展》2021年第6期2137-2150,共14页Advances in Applied Mathematics

摘　　要：在这篇文章当中,我们研究了如下Schrödinger-Poisson系统其中是边界光滑的有界区域,。对f,g施加适当的条件,若μ足够大,通过利用约束变分方法和形变引理,得到了该系统对于每一个λ】0都有相对应的基态变号解νλ,并且基态变号解的能量严格大于二倍基态解的能量。In this paper, we study the following Schrödinger-Poisson system where is a bounded domain with a smooth boundary , , under suitable conditions of f,g, by using constraint variational method and the quantitative deformation lemma, if μ is large enough, we obtain a ground state sign-changing solution νλ to this problem for each λ>0, and its energy is strictly large than twice that of the ground state solutions.

关 键 词：SchrO style=" margin-left:-10px ">¨dinger-Poisson系统 变号解 非局部项 变分法 

分 类 号：O17[理学—数学]