环域上p-Ginzburg-Landau泛函的径向极小元  

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

作　　者：蔡宇泽[1] 雷雨田[2] 

机构地区：[1]沙洲职业工学院基础科学系,江苏张家港215600 [2]南京师范大学数学系,南京210097

出　　处：《吉林大学学报（理学版）》2009年第4期683-690,共8页Journal of Jilin University:Science Edition

基　　金：江苏省高校自然科学基金(批准号:06KJB110056)

摘　　要：研究一类环域上p-Ginzburg-Landau泛函的径向极小元uε当ε→0时的极限行为.讨论了uε的零点分布,运用局部分析技巧证明了零点分布在环域的边界附近.利用迭代方法,建立了能量的局部一致估计,并在此基础上,证明了极小元在W1,p意义下局部收敛于p-调和映射x|x|-1.The authors studied the asymptotic behavior of the radial minimizers Uε of a p-Ginzburg-Landau functional in an annular domain. At first, that the zeros of Uε 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.

关 键 词：渐近性态 P-调和映射 零点分布 环域 径向极小元 

分 类 号：O175.2[理学—数学]