Existence of nontrivial solutions for Schrödinger-Poisson system with sign-changing potential

Authors
  • Jiaqian Yuan

    School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China

  • Jian Zhou

    School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China

  • Yunshun Wu

    School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China

Keywords:
Schrödinger-Poisson system, Sign-Changing potential, Cerami condition, Local linking
Abstract

In this article, we are interested to consider Schrödinger-Poisson system while the potential function V is indefinite, and the negative space of Schrödinger operator \(-\Delta + V\) is finite-dimensional. Different from many other articles, we consider the condition of nonlinearity \(g(x,t)\) is weaker than the Ambrosetti-Rabinowitz condition. The Schrödinger-Poisson system has nontrivial solutions, which can be found through the application of the Local linking theorem.  

References

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Additional Files
Published
16-11-2024
Section
Research Article
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Copyright (c) 2024 Jiaqian Yuan, Jian Zhou, Yunshun Wu

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How to Cite

Existence of nontrivial solutions for Schrödinger-Poisson system with sign-changing potential. (2024). Letters on Applied and Pure Mathematics, 2(1), 42-52. https://doi.org/10.66147/lapm.20242126

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