一类具有扰动非线性项和奇异项的Schrödinger-Poisson系统的多重正解OA北大核心CSTPCD
Multiple Positive Solutions of a Class of Schrödinger-Poisson Systems with Perturbed Nonlinear Terms and Singular Terms
本文考虑一类具有扰动非线性项和奇异项的Schrödinger-Poisson系统的多重正解的存在性.通过扰动方法解决奇异项在零点不可微的问题,利用Ekeland变分原理和山路引理,得到两个正解的存在性.
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.
朱泓洁;张家锋
贵州民族大学数据科学与信息工程学院,贵州贵阳 550025
数学
Schrödinger-Poisson系统扰动法Ekeland变分原理山路引理
Schrödinger-Poisson systemPerturbation methodEkeland's variational principleMountain pass lemma
《应用数学》 2024 (004)
935-944 / 10
国家自然科学基金项目(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)
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