具有不定位势Kirchhoff型Schrödinger-Bopp-Podolsky系统解的存在性  

Existence of solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system with indefinite potentials

作　　者：唐丽琴 王莉 王军 TANG Li-qin;WANG Li;WANG Jun(School of Science,East China Jiaotong University,Nanchang 330013,Jiangxi,China)

机构地区：[1]华东交通大学理学院,江西南昌330013

出　　处：《山东大学学报（理学版）》2023年第4期97-103,110,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12161038);江西省自然科学基金资助项目(GJJ212204)。

摘　　要：研究Kirchhoff型Schrödinger-Bopp-Podolsky系统,考虑位势函数V不定的情况。此时Schrödinger算子-△+V具有有限维负空间。利用Morse理论,得到Kirchhoff型Schrödinger-Bopp-Podolsky系统非平凡解的存在性。This paper is devoted to the Kirchhoff type Schrödinger-Bopp-Podolsky system.It considers the case where the potential Vis indefinite so that the Schrödinger operator-A+V possesses a finite-dimensional negative space.The authors obtain nontrivial solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system via Morse theory.

关 键 词：Kirchhoff型Schrödinger-Bopp-Podolsky系统 Morse理论 不定位势 临界群 

分 类 号：O175.29[理学—数学] O176.3[理学—基础数学]