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The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains

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  • Cun-bin An
  • Jiangyan Yao
  • Wei Han

Abstract

In this paper, we study a class of the Kirchhoff-Schrödinger-Poisson system. By using the quantitative deformation lemma and degree theory, the existence result of the least energy sign-changing solution is obtained. Meanwhile, the energy doubling property is proved, that is, we prove that the energy of any sign-changing solution is strictly larger than twice that of the least energy. Moreover, we also get the convergence properties of as the parameters and .

Suggested Citation

  • Cun-bin An & Jiangyan Yao & Wei Han, 2020. "The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-10, May.
    • Handle: RePEc:hin:jnlamp:8254898
    DOI: 10.1155/2020/8254898
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