SOLUTIONS OF GINZBURG-LANDAU EQUATIONS WITH WEIGHT AND MINIMIZERS OF THE RENORMALIZED ENERGY  

作　　者：Kou Yanlei Ding Shijin 

机构地区：[1]Department of Mathematics, South China Normal University, Guangdong 510631~ China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第1期48-60,共13页高校应用数学学报（英文版）（B辑）

基　　金：The second author is partially supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation(031495);National 973 Project(2006CB805902).

摘　　要：In this paper, it is proved that for any given d non-degenerate local minimum points of the renormalized energy of weighted Ginzburg-Landau eqautions, one can find solutions to the Ginzburg-Landau equations whose vortices tend to these d points. This provides the connections between solutions of a class of Ginzburg-Landau equations with weight and minimizers of the renormalized energy.In this paper, it is proved that for any given d non-degenerate local minimum points of the renormalized energy of weighted Ginzburg-Landau eqautions, one can find solutions to the Ginzburg-Landau equations whose vortices tend to these d points. This provides the connections between solutions of a class of Ginzburg-Landau equations with weight and minimizers of the renormalized energy.

关 键 词：Ginzburg-Landau equation renormalized energy. 

分 类 号：O175.5[理学—数学]