Radial Minimizer of p-Ginzburg-Landau Function in Annular Domain

Yutian Lei · Journal of Jilin University(Science Edition) · 2009

The authors studied the asymptotic behavior of the radial minimizers ue of a p-Ginzburg-Landau functional in an annular domain.At first,that the zeros of ue are located qualitatively near the boundary of the annular domain was proved by the local analysis.In addition,the uniform estimate of the energy was established by iteration.Based on this result,the W1,p convergence of minimizers as e→ 0 was proved also.

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