In this paper, we are interested in standing waves with a vortex for the nonlinear Chern–
Simons–Schrödinger equations (CSS for short). We study the existence and the …

A variational analysis of a gauged nonlinear Schrödinger equation Page 1 DOI 10.4171/JEMS/535
J. Eur. Math. Soc. 17, 1463–1486 c European Mathematical Society 2015 Alessio Pomponio …

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 …

This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-
called Chern–Simons term. The radially symmetric case leads to an elliptic problem with a …

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 …

In this paper we give a multiplicity result for the following Chern-Simons-Schr\" odinger
equation\[-\Delta u+ 2q u\int_ {| x|}^{\infty}\frac {u^{2}(s)}{s} h_u (s) ds+ qu\frac {h^{2} _u …

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