On ground state solutions for some non-autonomous Schrödinger–Poisson systems☆

By Juntao Sun, Haibo Chen, J. J. Nieto. 2012

121 citations recorded by the source corpus.

Abstract In this paper, we study the Schrodinger–Poisson system (SP) { − Δ u + u + K ( x ) ϕ ( x ) u = a ( x ) f ( u ) , in R 3 , − Δ ϕ = K ( x ) u 2 , in R 3 , and prove the existence of ground state solutions for system (SP) under certain assumptions on the linear and nonlinear terms. Some recent results from different authors are extended.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/09ca55275b05cd3fc5b83b7495e63a7d064c1ae1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Chunlei Tang
2. Yiwei Ye

In Mathematical Physics

1. Chunlei Tang
2. Yiwei Ye

Citations in the corpus

• Existence and multiplicity of solutions for Schrödinger–Poisson equations with sign-changing potential (2015, background): “There has been a vast literature on the study of existence and multiplicity of solutions of system (SP )λ under various hypotheses on the potential V (x) and the nonlinearity f(x, u), see [1-3, 5, 9-14, 18, 19, 21, 22, 24-28, 31, 34, 35-37] and the references therein.”