共查询到20条相似文献，搜索用时 0 毫秒
1.
Mihai Cristea 《复变函数与椭圆型方程》2015,60(4):437-469
We study the geometric properties of the mappings for which generalized inverse modular inequalities hold. We generalize in this way known theorems from the theory of analytic mappings and the theory of quasiregular mappings, like the theorems of Fatou, M. and F. Riesz, Beurling and Lindelöf and their extensions given for quasiregular mappings by Martio, Rickman and Vuorinen. 相似文献
2.
Gaven Martin Volker Mayer Kirsi Peltonen 《Proceedings of the American Mathematical Society》2006,134(7):2091-2097
A uqr mapping of an -manifold is a mapping which is rational with respect to a bounded measurable conformal structure on . Remarkably, the only closed manifolds on which locally (but not globally) injective uqr mappings act are Euclidean space forms. We further characterize space forms admitting uniformly quasiregular self mappings and we show that the space forms admitting branched uqr maps are precisely the spherical space forms. We further show that every non-injective uqr map of a Euclidean space form is a quasiconformal conjugate of a conformal map. This is not true if the non-injective hypothesis is removed.
3.
4.
The rate of growth of the energy integral of a quasiregular mapping
is estimated in terms of a special isoperimetric condition on
. The estimate leads to new Phragmen-Lindelof type theorems. 相似文献
5.
考虑定义在Heisenberg群上的弱拟正则映射其水平微商可积性的自我改善. 在广义水平微商可积指数低于第1层空间维数的情况下, 通过接触映射的Jacobian和广义水平微商Jacobian的关系, 建立了逆向H\"older不等式, 从而得到其可积指数的自我提升. 相似文献
6.
研究了退化弱（k1,k2）拟正则映射的正则性．利用Holder不等式、Sobolev空间的空间分析方法,以及内插定理等工具,给出了退化弱（k1,k2）拟正则映射事实上为退化（k1,k2）拟正则映射的一个充分条件,其结果对非退化情形也成立． 相似文献
7.
Tero Kilpelä inen Xiao Zhong 《Proceedings of the American Mathematical Society》2002,130(6):1681-1688
We show that sets of Hausdorff measure zero are removable for -Hölder continuous solutions to quasilinear elliptic equations similar to the -Laplacian. The result is optimal. We also treat larger sets in terms of a growth condition. In particular, our results apply to quasiregular mappings.
8.
Ilkka Holopainen Pekka Pankka 《Proceedings of the American Mathematical Society》2005,133(4):1143-1150
We study quasiregular mappings from a punctured Euclidean ball into -manifolds with many ends and prove, by using Harnack's inequality, a version of the big Picard theorem.
9.
研究了退化弱(k1,k2)拟正则映射的正则性.利用H lder不等式、Sobolev空间的空间分析方法,以及内插定理等工具,给出了退化弱(k1,k2)拟正则映射事实上为退化(k1,k2)拟正则映射的一个充分条件,其结果对非退化情形也成立. 相似文献
10.
We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential
operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the
Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems. 相似文献
11.
The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points). 相似文献
12.
X. M. Ren 《Acta Mathematica Hungarica》2003,98(1-2):39-58
We enlarge considerably the major arcs in the ternary Goldbach problem.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
13.
基于向量旋转内积不变的特点,通过对Green积分公式的推广,得到与空间Green三个公式相似的平面Green公式.从而,得到平面中Poisson方程Robin问题的解和平面中Poisson方程Dirichlet问题的解. 相似文献
14.
In this paper we study the existence and structure of a least-energy solution for a class of singularly perturbed quasilinear Dirichlet problems. Using the moving plane method we show that this least-energy solution develops to a spike-layer solution on convex domains. 相似文献
15.
R. J. Whitley T. V. Hromadka 《Numerical Methods for Partial Differential Equations》2001,17(4):332-335
The solution to any 2‐dimensional potential problem, with continuous data given on the boundary of a bounded domain with connected complement, can be approximated by sums Re Σ cn f(αn z + z0), where f is any preassigned non‐polynomial analytic function. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:332–335, 2001 相似文献
16.
In this article,we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems,the set of common fixed point for a family of infinite... 相似文献
17.
18.
双特征的Beltrami方程和拟正则映射 总被引：9，自引：2，他引：7
设Ω为Ｒｎ上的一个区域,ｎ２,对于具有双特征矩阵Ｇ（ｘ）,Ｈ（ｘ）∈Ｃｋ,α（Ω,Ｒｎ）,ｋ１,０＜α＜１的Ｂｅｌｔｒａｍｉ方程（１．４）,建立了在Ｓｏｂｏｌｅｖ空间Ｗ１,ｎｌｏｃ（Ω,Ｒｎ）上广义解的正则性：ｆ（ｘ）∈Ｃｋ＋１,δｌｏｃ（Ω）,对某一δ：０＜δ＜１． 相似文献
19.
