Article citationsMore>>

Oh, Y.G. (1989) Cauchy Problem and Ehrenfest’s Law of Nonlinear Schrödinger Equations with Potentials. Journal of Differential Equations, 81, 255-274.
https://doi.org/10.1016/0022-0396(89)90123-x

has been cited by the following article:

• TITLE: Two Dimensional Schrödinger-Poisson Equation: Existence and Qualitative Properties

  AUTHORS: Dehong Yang

  KEYWORDS: Normalized Solution, Schrödinger-Poisson Equation, Mass-Supercritical, Qualitative Properties

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.10, October 13, 2026

  ABSTRACT: We consider the following two dimensional Schrödinger-Poisson equation { −Δu+ | x | 2 u+γφu=λu+a | u | p−2 u, Δφ= u 2 , (0.1)where a,λ∈ ℝ + and p>4 . We prove that problem (0.1) admits a local minimizer u p . Moreover, we investigate the asymptotic behaviour of u p as p→ 4 + , and establish the stability of the solution.