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, issue 1

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 u0 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 u0 as the parameters b↘0 and λ↘0.

Date: 2020
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https://doi.org/10.1155/2020/8254898

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8254898

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