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

Abstract EN

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.