Standing waves for a gauged nonlinear Schr\"{o}dinger equation with a vortex point
Analysis of PDEs
2015-11-25 v1
Abstract
This paper is motivated by a gauged Schr\"{o}dinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the origin. Those states solve a nonlinear nonlocal PDE with a variational structure. We will study the global behavior of that functional, extending known results for the regular case.
Cite
@article{arxiv.1502.05867,
title = {Standing waves for a gauged nonlinear Schr\"{o}dinger equation with a vortex point},
author = {Yongsheng Jiang and Alessio Pomponio and David Ruiz},
journal= {arXiv preprint arXiv:1502.05867},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1306.2051