Ground state and nodal solutions for critical Kirchhoff–Schrödinger–Poisson systems with an asymptotically 3-linear growth nonlinearity

Ground state and nodal solutions for critical Kirchhoff–Schrödinger–Poisson systems with an asymptotically 3-linear growth nonlinearity

Abstract In this paper, we consider the existence of a least energy nodal solution and a ground state solution, energy doubling property and asymptotic behavior of solutions of the following critical problem: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u + λ ϕ u = | u | 4 u + k f ( u ) , x ∈ R 3...

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Bibliographic Details
Main Authors: Chungen Liu, Hua-Bo Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Boundary Value Problems
Subjects:
Kirchhoff–Schrödinger–Poisson systems
Nodal solution
Ground state solution
Nehari manifold
Online Access:http://link.springer.com/article/10.1186/s13661-020-01421-5

Internet

http://link.springer.com/article/10.1186/s13661-020-01421-5

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