A Ginzburg-Landau type energy with weight and with convex potential near zero

2018/02/06 by Hadiji, Rejeb, Perugia, Carmen
#35B25 #35J50 #35Q56 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.01915

Abstract

In this paper, we study the asymptotic behaviour of minimizing solutions of a Ginzburg-Landau type functional with a positive weight and with convex potential near 0 and we estimate the energy in this case. We also generalize a lower bound for the energy of unit vector field given initially by Brezis-Merle-Rivière.

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