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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Rejeb Hadiji & Carmen Perugia, 2020. "A Ginzburg–Landau Type Energy with Weight and with Convex Potential Near Zero," Mathematics, MDPI, vol. 8(6), pages 1-23, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:997-:d:373352
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