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math.AP2018
Equilibrium measures and equilibrium potentials in the Born-Infeld model
Denis Bonheure, Pietro d'Avenia, Alessio Pomponio +1
In this paper, we consider the electrostatic Born-Infeld model \begin{equation*} \tag{} \left\{ \begin{array}{rcll} -\operatorname{div}\left(\displaystyle\frac{\nabla…
math.AP2018
Standing waves for a Schrödinger-Chern-Simons-Higgs system
Pietro d'Avenia, Alessio Pomponio
We consider a system arising from a nonrelativistic Chern-Simon-Higgs model, in which a charged field is coupled with a gauge field. We prove an existence result for small coupling…