Geodesic
A variational analysis of a gauged nonlinear Schrödinger equation
Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1463-1486.

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This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads to the nonlocal problem:
DOI : 10.4171/jems/535
Classification : 35-XX
Keywords: Gauged Schrödinger equations, Chern-Simons theory, variational methods, concentration compactness 
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     author = {Alessio Pomponio and David Ruiz},
     title = {A variational analysis of a gauged nonlinear {Schr\"odinger} equation},
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Alessio Pomponio; David Ruiz. A variational analysis of a gauged nonlinear Schrödinger equation. Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1463-1486. doi : 10.4171/jems/535. http://geodesic.mathdoc.fr/articles/10.4171/jems/535/

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