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一类泛函极小元的H^2收敛性 被引量：1

H^2 Convergence of the Minimizers for a Class of Functionals
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摘要 　本文证明了一类泛函Eε(u,G)于集合H2g(G,C)中的极小元uε当ε→0时,在H2中收敛到以g为边值的G上的双重调和映射. Let u_ε be minimizers for the functional E_ε(u,G) in H^2_g(G,C). It is proved that u_ε convergent to the double harmonic map in H^2 as ε→0.
作者 雷雨田
机构地区 南京师范大学数学与计算机科学学院
出处 《南京师大学报（自然科学版）》 CAS CSCD 2004年第3期9-11,共3页 Journal of Nanjing Normal University(Natural Science Edition)
基金 数学天元基金(A0324628) "211"工程重点学科建设资助项目.
关键词 泛函的极小元 收敛性 双重调和映射 minimizer of functional, convergence, biharmonic map
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献4

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二级参考文献10

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共引文献3

同被引文献8

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  • 8何跃.一类二阶退化半线性椭圆型方程边值问题的适定性及解的正则性[J].数学年刊（A辑）,2004,25(2):225-242. 被引量：4

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南京师大学报（自然科学版）
2004年 第3期

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