Standing waves for a gauged nonlinear Schr\"{o}dinger equation with a vortex point

20 Feb 2015 · Jiang Yongsheng, Pomponio Alessio, Ruiz David ·

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.