拟共形形变的极值问题  

Extremal Problems for Quasiconformal Deformations

作　　者：周晟[1] 

机构地区：[1]复旦大学数学研究所,上海200433

出　　处：《复旦学报（自然科学版）》2006年第2期247-253,261,共8页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金资助项目(10271029)

摘　　要：讨论单位圆上具有指定边值和—-导数界限的拟共形形变,对—-导数的本性上界达到最小和实值泛函L(F)取值最大这两个极值问题分别给出了相应的Ham ilton型条件.Quasiconformal deformations with prescribed boundary values and bounds for their ^-δ-defivatives are discussed. Extremal problems for the least norms of their ^-δ-derivatives and for the biggest real funetionals of them are studied. Two corresponding Hamilton conditions are obtained.

关 键 词：拟共形映射 拟共形形变 Hamilton条件 

分 类 号：O174.51[理学—数学]