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arXiv · 1502.05867

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

Yongsheng Jiang·Alessio Pomponio·David Ruiz
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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.

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Yongsheng Jiang, Alessio Pomponio, David Ruiz. 2015-02-20. Standing waves for a gauged nonlinear Schr\"{o}dinger equation with a vortex point. https://doi.org/10.1142/s0219199715500741

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