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