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双非局部Kirchhoff-Schr?dinger-Poisson系统多重正解

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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.
Multiple Positive Solutions for a Binonlocal Kirchhoff-Schr?dinger-Poisson System
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.

Kirchhoff-Schrödinger-Poisson SystemBinonlocal ProblemVariational MethodPerturbation Approach

田乖启、武玲玲、朱怡颖

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贵州工程应用技术学院理学院,贵州 毕节 551700

贵州民族大学数据科学与信息工程学院,贵州 贵阳 550025

Kirchhoff-Schrödinger-Poisson系统 双非局部问题 变分方法 扰动方法

毕节市科技局项目

毕科联合[2023]26号

2024

贵州工程应用技术学院学报
毕节学院

贵州工程应用技术学院学报

影响因子:0.175
ISSN:2096-0239
年,卷(期):2024.42(3)
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