Standing waves for a Chern-Simons-Schrödinger problem in $\mathbb{R}^{2}$ involving radial potentials

Francisco Sibério Albuquerque; Shang-Jie Chen; Lin Li

doi:10.22541/au.159258796.64871693

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Standing waves for a Chern-Simons-Schrödinger problem in $\mathbb{R}^{2}$ involving radial potentials

Francisco Sibério Albuquerque,
Shang-Jie Chen,
Lin Li

Abstract

By combining variational methods and a Trudinger-Moser-type inequality with weights, we investigate the existence of radial standing waves for a modified Schrödinger equation coupled with the Chern-Simons gauge theory.