JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (4): 97-103.doi: 10.6040/j.issn.1671-9352.0.2022.506

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

TANG Li-qin, WANG Li*, WANG Jun   

  1. School of Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China
  • Published:2023-03-27

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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.

Key words: Kirchhoff type Schrö, dinger-Bopp-Podolsky system, Morse theory, indefinite potential, critical point

CLC Number: 

  • O175.29
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