| 具有不定位势Kirchhoff型Schrödinger-Bopp-Podolsky系统解的存在性 |
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| 引用本文： | 唐丽琴,王莉,王军. 具有不定位势Kirchhoff型Schrödinger-Bopp-Podolsky系统解的存在性[J]. 山东大学学报(理学版), 2023, 58(4): 97-103. DOI: 10.6040/j.issn.1671-9352.0.2022.506 |
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| 作者姓名： | 唐丽琴 王莉 王军 |
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| 作者单位： | 华东交通大学理学院, 江西 南昌 330013 |
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| 基金项目： | 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) |
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| 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-Δ+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。
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| 关 键 词： | Kirchhoff型Schrö dinger-Bopp-Podolsky系统 Morse理论 不定位势 临界群 |
Existence of solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system with indefinite potentials |
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| TANG Li-qin,WANG Li,WANG Jun. Existence of solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system with indefinite potentials[J]. Journal of Shandong University, 2023, 58(4): 97-103. DOI: 10.6040/j.issn.1671-9352.0.2022.506 |
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| Authors: | TANG Li-qin WANG Li WANG Jun |
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| Affiliation: | School of Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China |
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| Abstract: | This paper is devoted to the Kirchhoff type Schrödinger-Bopp-Podolsky system. It considers the case where the potential V is indefinite so that the Schrödinger operator -Δ+V possesses a finite-dimensional negative space. The authors obtain nontrivial solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system via Morse theory. |
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| Keywords: | Kirchhoff type Schrö dinger-Bopp-Podolsky system Morse theory indefinite potential critical point |
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