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拟共形形变的极值问题
Extremal Problems for Quasiconformal Deformations
【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.
【Abstract】 Quasiconformal deformations with prescribed boundary values and bounds for their ——derivatives are discussed.Extremal problems for the least norms of their ——derivatives and for the biggest real functionals 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;
【Key words】 quasiconformal mapping; quasiconformal deformation; Hamilton condition;
【Key words】 quasiconformal mapping; quasiconformal deformation; Hamilton condition;
【基金】 国家自然科学基金资助项目(10271029)
- 【文献出处】 复旦学报(自然科学版) ,Journal of Fudan University(Natural Science) , 编辑部邮箱 ,2006年02期
- 【分类号】O174.51
- 【下载频次】29