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math.AP2011
Large vorticity stable solutions to the Ginzburg-Landau equations
Andres Contreras, Sylvia Serfaty
We construct local minimizers to the Ginzburg-Landau functional of superconductivity whose number of vortices N is prescribed and blows up as the parameter epsilon, inverse of the…
math.AP2011
Lorentz space estimates for the Coulombian renormalized energy
Sylvia Serfaty, Ian Tice
In this paper we obtain optimal estimates for the "currents" associated to point masses in the plane, in terms of the Coulombian renormalized energy of Sandier-Serfaty \cite{ss1,ss…