双非局部Kirchhoff-Schr?dinger-Poisson系统多重正解
Multiple Positive Solutions for a Binonlocal Kirchhoff-Schr?dinger-Poisson System
田乖启 1武玲玲 1朱怡颖2
作者信息
- 1. 贵州工程应用技术学院理学院,贵州 毕节 551700
- 2. 贵州民族大学数据科学与信息工程学院,贵州 贵阳 550025
- 折叠
摘要
研究了具有奇异和双非局部的Kirchhoff-Schrödinger-Poisson系统.将"扰动"技巧用以解决带奇异项问题所对应泛函在零点处不可微的难点,应用Ekeland变分原理和山路引理得到该问题对应的扰动泛函存在局部极小和山路型的临界点,通过估计序列有一致的下界并对扰动取极限后得到两个正解的存在性.
Abstract
In this paper,we consider the existence of positive solution to the Kirchhoff-Schrödinger-Poisson system with singularity and binonlocal,we will perturbation technique is use to solve the problem that the functional with singular term cannot be differentiable at zero.Applying the Ekeland variational principal and mountain pass lemma,the perturbation functional corresponding to this problem has a local minimum and critical point of the mountain path type.The existence of two positive solutions is obtained by estimating the sequence with a consistent lower bound and taking the limit of perturbation.
关键词
Kirchhoff-Schrödinger-Poisson系统/双非局部问题/变分方法/扰动方法Key words
Kirchhoff-Schrödinger-Poisson System/Binonlocal Problem/Variational Method/Perturbation Approach引用本文复制引用
基金项目
毕节市科技局项目(毕科联合[2023]26号)
出版年
2024
NETL
NSTL
万方数据