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Remarks on the minimizer of a $p$-Ginzburg-Landau type

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Abstract

The author studies the asymptotic behavior of the ra-dial minimizer for a variant of thep-Ginzburg-Landau type func-tional, in the case ofp larger than the dimension, when the param-eter tends to zero. TheC1; convergence of the radial minimizer isproved. And the estimation of the convergent rate of the minimizeris given.

참고문헌 (4)

  1. "Etude qualitative des solutions reelles d'une equationdifferentielle liee a l'equation de Ginzburg-Landau", 11, pp.427~440 (1994)
  2. "On a variant of the Ginzburg-Landau energy", 5(43), pp.39~51 (1998)
  3. "Radial minimizer of a variant of p-Ginzburg-Landau functional", 2003(35), pp.1~12 (2003)
  4. "On the stability of radial solution of the Ginzburg-Landau equation", 130, pp.334~344 (1995)

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