This paper investigates the existence and asymptotic behavior of nodal solutions to the
following gauged nonlinear Schrödinger equation {− Δ u+ ω u+(h 2 (| x|)| x| 2+∫| x|+∞ h (s) …

Schrödinger type soliton waves generated by second-harmonic generation in higher
dimensional quadratic optical media are considered. The existence of ground state solutions …

In this paper, we investigate the following Chern–Simons–Schrödinger system− Δ u+ u+ λ∫|
x|∞ h (s) su 2 (s) ds+ h 2 (| x|)| x| 2 u= f (x, u) in R 2, where λ> 0, h (s)=∫ 0 st 2 u 2 (t) dt and …

In this paper, we investigate normalized solutions for the Chern–Simons–Schrödinger
system with a trapping potential V (x)= ω| x| 2 and a exponential critical growth f (u). The …

A charged harmonic oscillator in a magnetic field, Landau problems, and an oscillator in a
noncommutative space share the same mathematical structure in their Hamiltonians. We …

In this paper, we study the existence and asymptotic behavior of sign-changing solutions
with arbitrary number of nodes to the following gauged nonlinear Schrödinger equation …

This paper focuses on the existence of normalized solutions for the Chern–Simons–
Schrödinger system with mixed dispersion and critical exponential growth. These solutions …

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We consider a class of the Schrödinger equation coupled with an neutral scalar field in non-
radial symmetric space H 1 (R 2). In this paper, combining the Nehari manifold, Moser …

We investigate a class of Chern–Simons–Schrödinger–Higgs system in H r 1 (R 2) arising
from a nonrelativistic Chern–Simon–Higgs model, in which a charged field is coupled with a …