A Ginzburg–Landau Type Energy with Weight and with Convex Potential Near Zero

Rejeb Hadiji (1) , Carmen Perugia (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Dipartimento di Studi Geologici ed Ambientali

In this paper, we study the asymptotic behavior 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.

Domaines: Equations aux dérivées partielles [math.AP]

Rejeb Hadiji, Carmen Perugia. A Ginzburg–Landau Type Energy with Weight and with Convex Potential Near Zero. Mathematics , 2020, 8 (6), pp.997. ⟨10.3390/math8060997⟩. ⟨hal-04312298⟩