具變系數(shù)的p-Ginzburg-Landau泛函的極小元的漸近性態(tài).pdf

1、南京師范大學碩士學位論文具變系數(shù)的pGinzburgLau泛函的極小元的漸近性態(tài)姓名：王貝申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：雷雨田20080601InthispaperwealwaysassumeR∈(o，1)，G=(z1，z2)∈R2；(xl一1)2z；R2)，andg：OG—S1isasmoothmapsatisfyingdeg(g，OG)=d=0Weareconcernedwiththeasymptoticbehavior

2、oftheminimizerst‘5oftheGinzburg。Landautypefunctional忍(u，B)=fa1：IV札IVdx否1(1一2】如inthefunctionclasswhenE一0叼’p(G，c)=(uftW1p(G，c)；u=g，z∈oaInChapterone，wepresentseveralmainresultsinthepaperInChaptertwo，weprovethattheminimizer‰

3、convergesstronglytoapharmonicmapwiththecoefficient擊intheW1psenseWealsoshowthatthepharmonicmapisalsoapenergymilxin2izerwhend=0Inadditionwealsoverifythatthepienergyminimizerconvergestoaharmonicmapwhenp‘一2InChapterthreewedi