共查询到18条相似文献,搜索用时 78 毫秒
1.
主要考虑如下加权全能量极值问题:h∈■^(inf)(A_(1),A_(2))α∫∫A_(1)(|h_(N)|^(2)+|h_(T)|^(2))1/(|h_(z)|^(2))dz+β∫∫A_(1)|h_(N)|^(2)+|h_(T)|^(2)/J(z,h)1/|z|^(2)dz,其中■(A_(1),A_(2))代表从圆环A_(1)到圆环A_(2)的所有保向同胚映射的集合.研究得到唯一的极值映射为径向拉伸映射.这将[Iwaniec T,Onninen J.Hyperelastic deformations of smallest total energy[J].Arch Rational Mech Anal,2009,194:927-986.]的结果推广至非欧情形.同时,也分别研究了圆环上的加权调和能量的极值问题与加权偏差的极值问题. 相似文献
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一类Nehari函数的偏差性质 总被引:1,自引:0,他引:1
研究了一族由Pokornyi单叶性判据所确定的Nehari函数的偏差性质,得到了这类函数的导数增长和球面度量偏差,并研究了与John区域有着密切的关系的一个函数的特征. 相似文献
3.
YANG Zongxin School of Mathematics Information Science Jiangxi Normal University Nanchang China. 《数学年刊A辑(中文版)》2007,(6)
研究了一族由Pokornyi单叶性判据所确定的Nehari函数的偏差性质,得到了这类函数的导数增长和球面度量偏差,并研究了与John区域有着密切的关系的一个函数的特征. 相似文献
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群体决策的偏差度分析 总被引:16,自引:2,他引:14
本文引进群体决策的决策个体和决策群体关于两方案的偏差度,以及群体偏差映射的概念.在建立相应的偏差公理的基础上,研究了群体决策偏差分析的基本理论.同时,还给出一个利用偏差度进行群体排序的方法. 相似文献
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本文研究了图G的符号全控制数γst(G)的问题.利用穷标法及分类讨论法,主要得到了两类图n·Fm+1和n·Wm+1的符号全控制数的精确值,从而改正了已知结果,这里图n·Fm+1和n·Wm+1分别表示把n个扇图的中心点和n个轮图的中心点粘接而得到的图. 相似文献
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单位圆盘上的调和拟共形同胚 总被引:1,自引:0,他引:1
证明并利用单位圆盘到自身上拟共形映照的一个偏差定理,得到一个判别单位圆盘到自身上调和同胚为调和拟共形同胚的充要条件.作为应用,给出一个判别单位圆盘到自身上调和同胚为调和拟共形同胚的简单判别法. 相似文献
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本文讨论了有关广义η-偏差函数的单调性,得到了广义η-偏差函数和其它相关偏差函数的精确不等式. 相似文献
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Mengkun Zhu & Xinzhong Huang 《数学研究》2016,49(1):23-32
Some sharp estimates for coefficients, distortion and the growth order are
obtained for harmonic mappings $f \in TL^{\alpha}_H,$ which are locally univalent harmonic mappings
in the unit disk $\mathbb{D}:=\{z:|z|<1\}.$ Moreover, denoting the subclass $TS^{\alpha}_H$ of the
normalized univalent harmonic mappings, we also estimate the growth of $|f|,$ $f \in TS^α_H,$ and their covering theorems. 相似文献
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Mengkun Zhu & Xinzhong Huang 《数学研究》2015,48(3):265-274
Some sharp estimates for coefficients, distortion and the growth order are
obtained for harmonic mappings $f ∈ TL^α_H$which are locally univalent harmonic mappings
in the unit disk $\mathbb{D}:=\{z:|z| < 1\}$. Moreover, denoting the subclass $TS^α_H$ of the
normalized univalent harmonic mappings, we also estimate the growth of $|f|,$ $f ∈ TS^α_H,$ and their covering theorems. 相似文献
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设X是一个Banach空间,如果X含有C[0,1],则X必几乎等距地含有 C[0,1].这个结果推广了Dowling,Randrianantoanina及Turett等人的结果. 相似文献
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Let M be a noncompact complete Riemannian manifold. We consider the existence of harmonic functions with |∇u| ∈ L^p(M). 相似文献
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《复变函数与椭圆型方程》2012,57(3):229-237
Sharp distortion theorems for close-to-convex functions which satisfy Re ?'(z) > γ are proved using extreme points. 相似文献
17.
??Motivated by[1] and [2], we study in this
paper the optimal (from the insurer's point of view) reinsurance problem when
risk is measured by a general risk measure, namely the GlueVaR distortion risk
measures which is firstly proposed by [3].Suppose an insurer is exposed
to the risk and decides to buy a reinsurance contract written on the total
claim amounts basis, i.e. the reinsurer covers and the cedent covers
. In addition, the insurer is obligated to compensate the reinsurer
for undertaking the risk by paying the reinsurance premium,
( is the safety loading), under the expectation premium principle. Based
on a technique used in [2], this paper derives the optimal ceded loss
functions in a class of increasing convex ceded loss functions. It turns out
that the optimal ceded loss function is of stop-loss type. 相似文献
18.
Xiaohui Zhang Gendi Wang Songliang Qiu 《Journal of Mathematical Analysis and Applications》2006,324(1):60-65
The authors prove a conjecture on elliptic integrals and obtain sharp bounds for φK(r) and λ(K). By using Teichmüller's module theorem, the authors obtain a distortion theorem of K-quasiconformal mappings on the plane. 相似文献