Zhang, HuiZhang, Fubao2022-01-242022-01-242018-03-05Zhang, H., & Zhang, F. (2018). Semiclassical ground states for nonlinear Schrödinger-Poisson systems. <i>Electronic Journal of Differential Equations, 2018</i>(61), pp. 1-15.1072-6691https://hdl.handle.net/10877/15202In this article, we study the Schrödinger-Poisson system -ε2∆u + V(x)u + φ(x)u = Q(x)u3, x ∈ ℝ3, -ε2∆φ = u2, x ∈ ℝ3, where ε > 0 is a parameter, V and Q are positive bounded functions. We establish the existence of ground states for ε small, and describe the concentration phenomena of ground states as ε → 0.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSchrödinger-Poisson systemVariational methodConcentrationNehari manifoldArticle