In this paper, we study normalized solutions to the Chern-Simons-Schrödinger system,
which is a gauge-covariant nonlinear Schrödinger system with a long-range electromagnetic …

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) …

This paper is concerned with a gauged nonlinear Schrödinger equation− Δ u+ ω u+ h 2 (| x|)|
x| 2+∫| x|∞ h (s) su 2 (s) dsu= f (| x|, u) in R 2. Under some suitable conditions on the …

In this paper, we consider the non-linear Chern–Simons–Schrödinger equation-Δ u+ hu 2 (|
x|)| x| 2+∫| x|∞ hu (s) su 2 (s) dsu=-a| u| p-2 u+ f (u), x∈ R 2, where a> 0, p∈(2, 3) and hu …

We are concerned with sign-changing solutions of the following gauged nonlinear Schr\"{o}
dinger equation in dimension two including the so-called Chern-Simons term\begin …

NORMALIZED SOLUTIONS FOR THE CHERN–SIMONS–SCHRÖDINGER EQUATION IN R2
Page 1 Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 42, 2017, 405–428 …

We study the existence and asymptotic behavior of the least energy sign-changing solutions
to a gauged nonlinear Schrödinger equation {− Δ u+ ω u+ λ (h 2 (| x|)| x| 2+∫| x|+∞ h (s) su …

This paper is concerned with the following singularly perturbed problem in H 1 (R 2)− ε 2 Δ
u+ V (x) u+ A 0 (u (x)) u+∑ j= 1 2 A j 2 (u (x)) u= f (u), ε (∂ 1 A 2 (u (x))−∂ 2 A 1 (u (x)))=− 1 2 …

We study the following gauged nonlinear Schrödinger equation {− Δ u+(∫| x|∞ hu (s) su 2
(s) d s+ hu 2 (| x|)| x| 2) u= f (u)− a| u| p− 2 u, u (x)= u (| x|), where a> 0, p∈(1, 2), hu (s)=∫ 0 …

This paper is motivated by a gauged Schrödinger equation in dimension 2. We are
concerned with radial stationary states under the presence of a vortex at the origin. Those …