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一类具有扰动非线性项和奇异项的Schrödinger-Poisson系统的多重正解

朱泓洁 张家锋

应用数学2024,Vol.37Issue(4):935-944,10.
应用数学2024,Vol.37Issue(4):935-944,10.

一类具有扰动非线性项和奇异项的Schrödinger-Poisson系统的多重正解

Multiple Positive Solutions of a Class of Schrödinger-Poisson Systems with Perturbed Nonlinear Terms and Singular Terms

朱泓洁 1张家锋1

作者信息

  • 1. 贵州民族大学数据科学与信息工程学院,贵州贵阳 550025
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摘要

Abstract

In this paper,the existence of multiple positive solutions of Schrödinger-Poisson systems with perturbated nonlinear terms and singular terms is considered.The problem that the singular term is not differentiable at zero is solved by the perturbation method.The existence of two positive solutions is obtained by using the Ekeland variational principle and the Mountain pass lemma.

关键词

Schrödinger-Poisson系统/扰动法/Ekeland变分原理/山路引理

Key words

Schrödinger-Poisson system/Perturbation method/Ekeland's variational principle/Mountain pass lemma

分类

数理科学

引用本文复制引用

朱泓洁,张家锋..一类具有扰动非线性项和奇异项的Schrödinger-Poisson系统的多重正解[J].应用数学,2024,37(4):935-944,10.

基金项目

国家自然科学基金项目(11861021) (11861021)

贵州省教育厅自然科学研究项目(QJJ2022015 ()

QJJ2022047) ()

贵州民族大学自然科学研究项目(GZMUZK[2022]YB006) (GZMUZK[2022]YB006)

应用数学

OA北大核心CSTPCD

1001-9847

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