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  • 标题:The Existence of the Sign-Changing Solutions for the Kirchhoff-Schrödinger-Poisson System in Bounded Domains
  • 本地全文:下载
  • 作者:Cun-bin An ; Jiangyan Yao ; Wei Han
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-10
  • DOI:10.1155/2020/8254898
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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 u 0 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 u 0 as the parameters b ↘ 0 and λ ↘ 0 .

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