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

Yutian Lei

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Bull. Korean Math. Soc. 2005; 42(3): 509-520

Printed September 1, 2005

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

Yutian Lei

Nanjing Normal University

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Abstract

The author studies the asymptotic behavior of the radial minimizer for a variant of the $p$-Ginzburg-Landau type functional, in the case of $p$ larger than the dimension, when the parameter tends to zero. The $C^{1,\alpha}$ convergence of the radial minimizer is proved. And the estimation of the convergent rate of the minimizer is given.

Keywords: $p$-Ginzburg-Landau functional, radial minimizer, asymptotic behavior

Bulletin of the
Korean Mathematical Society BKMS

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

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Bulletin of theKorean Mathematical Society BKMS

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

Abstract

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

Asymptotic behavior of solutions for the generalized MHD and Hall-MHD systems in $\mathbb{R}^n$

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Bulletin of the
Korean Mathematical Society BKMS