Existence of least energy nodal solution for Kirchhoff–Schrödinger–Poisson system with potential vanishing

Abstract This paper deals with the following Kirchhoff–Schrödinger–Poisson system: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u + ϕ u = K ( x ) f ( u ) in  R 3 , − Δ ϕ = u 2 in  R 3 , $$ \textstyle\begin{cases} -(a+b\int _{\mathbb{R}^{3}} \vert \nabla u \vert ^{2}\,dx)\Delta u+V(x)u+\phi u=K(x)...

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Bibliographic Details
Main Authors: Jin-Long Zhang, Da-Bin Wang
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01408-2