具非零边界条件的p-Ginzburg-Landau泛函径向极小元的惟一性  

Uniqueness of radial minimizer ofp-Ginzburg-Landau functional with nonvanishing dirichlet boundary condition

作　　者：雷雨田[1] 

机构地区：[1]南京师范大学数学科学学院,南京210097

出　　处：《吉林大学学报（理学版）》2004年第1期6-10,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:19271086);数学天元基金(批准号:A0324628).

摘　　要：研究具非S1值边界条件的p-Ginzburg-Landau泛函的径向极小元的零点分布,并证明了径向极小元的惟一性.The present paper deals with the location of the zeros of the radial minimizer of thep-Ginzburg-Landau functional with the nonvanishing Dirichlet boundary condition in the case ofp>2. Based on the result, the uniqueness of the radial minimizer of this functional is proved.

关 键 词：非零边界条件 p-Ginzburg-Landau泛函 径向极小元 惟一性 

分 类 号：O175.2[理学—数学]