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

Cun-bin An, Jiangyan Yao and Wei Han

Advances in Mathematical Physics, 2020, vol. 2020, 1-10

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 .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8254898

DOI: 10.1155/2020/8254898

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