关键词: 渐近性态, p-调和映射, 零点分布, 环域, 径向极小元

Abstract:

The authors studied the asymptotic behavior of the radial minimizers u_ε of a p-Ginzburg-Landau functional in an annular doma
in. At first, that the zeros of u_ε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 W^1,p convergence of minimizers as ε→ 0 was proved also.

Key words: asymptotic behavior, p-harmonic map, location of zeros, annular domain, radial minimizer