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

Rejeb Hadiji and Carmen Perugia
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Rejeb Hadiji: Laboratoire d’Analyse et de Mathématiques Appliquées, LAMA, Université Paris-Est, UMR 8050, UPEC, F-94010 Créteil, France
Carmen Perugia: Dipartimento di Scienze e Tecnologie, Universitá del Sannio, Via de Sanctis, 82100 Benevento, Italy

Mathematics, 2020, vol. 8, issue 6, 1-23

Abstract: 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.

Keywords: Ginzburg–Landau functional; lower bound; variational problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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