Semiclassical ground states for nonlinear Schrödinger-Poisson systems

Date

2018-03-05

Authors

Zhang, Hui
Zhang, Fubao

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In 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.

Description

Keywords

Schrödinger-Poisson system, Variational method, Concentration, Nehari manifold

Citation

Zhang, H., & Zhang, F. (2018). Semiclassical ground states for nonlinear Schrödinger-Poisson systems. <i>Electronic Journal of Differential Equations, 2018</i>(61), pp. 1-15.

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Attribution 4.0 International

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