次线性薛定谔－泊松系统的弱解和集中性

Weak solutions and concentration of sublinear Schrödinger-Poisson system

摘要

利用变分方法研究一类形式更一般的次线性薛定谔－泊松系统。在较弱的条件下，得到此类薛定谔－泊松系统非平凡弱解的存在性以及弱解序列的集中性，推广已有的结论。

Abstract

A class of sublinear Schrödinger-Poisson system with more general form is studied by using variational method. The existence of non-trivial weak solutions and the concentration of the weak solution sequence for such Schrödinger-Poisson systems are obtained under weaker conditions. The results generalize established conclusions.

关键词

变分方法 / 弱解 / 临界点 / 薛定谔－泊松系统 / 集中性

Key words

variational methods / weak solution / critical point / Schrödinger-Poisson system / concentration

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基金资助

国家自然科学基金资助项目(12371171)

国家自然科学基金资助项目(12226412)

江苏省自然科学基金项目(BK20221339)

安徽省高等教育质量工程项目(2023ylyjh069)

南京信息工程大学教改项目(2023XYBJG06)