Standing waves for a gauged nonlinear Schrödinger equation with a vortex point

Abstract

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 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.

arXiv admin note: substantial text overlap with arXiv:1306.2051