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
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)