检索结果-南通市图书馆

Regularity of harmonic maps with the potential

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2006年第5期49卷 599-610页

作者： CHU Yuming & LIU Xiangao department of mathematics, huzhou teachers college,{2., China Institute of mathematics, Fudan University, Shanghai 2.0433, China department of mathematics Huzhou Teachers College Huzhou 313000 China Institute of mathematics Fudan University Shanghai 200433 China

The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open.

关键词： harmonic map, partial regularity, potential.

Continuous embedding between harmonic Hardy spaces and mixed-norm spaces

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1997年第2期42卷 106-108页

作者： HU Zhangjiandepartment of mathematics, huzhou teachers college, Zhejiang {2., China department of mathematics Huzhou Teachers College Zhejiang China

LET D Rn be a bounded domain with C∞ boundary, and λ （x） be a defining function. This means that λ（x） is in C∞（Rn）, is bounded and |▽λ|≠0 in some neighborhood of aD （see ref. [1]）. For r positive and sufficiently small, set Dr = {x∈Rn; λ（x） r,and dσ be the （n-1）-dimensional Hausdorff measures on aD,={x∈Rn; λ（x） = -Υ} and on αD = {x∈Rn; λ（x） = 0} respectively, and dm be the Lebesgue volume element on Rn.By h（D） we will denote the space of all complex valued harmonic functions on D. For a multi-index α= （α1,α2./sub>…,αn）, aj being a non-negative integer, and x = （x1,x2./sub>,…,xn）∈D, write |α| = α1 + α2./sub> + … + αn

关键词： harmonic Hardy space integral mean gradient.

THE SCHUR HARMONIC CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2010年第5期30卷 1501-1506页

作者：褚玉明孙天川 department of mathematics Huzhou Teachers College

In this article, we prove that the symmetric function Fn（x,r）=∑i1＋i2.……in=r（x1（i1x2.i2.…xn^in）1/r is Schur harmonic convex for x ∈ R＋n and r ∈N -=（1, 2. 3,...} As its applications, some analytic inequa... 详细信息

关键词： symmetric function Schur convex Schur harmonic convex

Bloch constant of holomorphic mappings on the unit polydisk of C^n

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2008年第4期51卷 652-659页

作者： WANG JianFei~(1+) LIU TaiShun~2.1 college of mathematics and Physics Information Engineering Zhejiang Normal University Jinhua 32.004,China 2.{2. huzhou teachers college huzhou 313000 China college of mathematics and Physics Information Engineering Zhejiang Normal University Jinhua China department of mathematics Huzhou Teachers College Huzhou China

In this paper,we give a definition of Bloch mappings defined in the unit polydisk D^n, which generalizes the concept of Bloch functions defined in the unit disk *** is known that Bloch theorem fails unless we have some restrictive assumption on holomorphic mappings in several complex *** shall establish the corresponding distortion theorems for subfamiliesβ(K)andβ_(loc)(K) of Bloch mappings defined in the polydisk D^n,which extend the distortion theorems of Liu and Minda to higher *** an application,we obtain lower and upper bounds of Bloch constants for various subfamilies of Bloeh mappings defined in D^*** particular,our results reduce to the classical results of Ahlfors and Landau when n=1.

关键词： Bloch constant Bloch mapping univalent ball critical point Julia lemma locally biholomorphic mapping Landau constant

A CLASS OF NONLINEAR SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM

在线全文

学校读者我要写书评

暂无评论

Applied mathematics(A Journal of Chinese Universities) 2003年第4期18卷 403-411页

作者： Mo Jiaqihuzhou teachers {2.,huzhou 313000,China. huzhou teachers {2. Huzhou China

In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are *** the iteration method and the comparison theorem, the existence and its asymptotic behavior of s... 详细信息

关键词： reaction diffusion system singular perturbation,initial boundary value problem

QUASILINEAR-ADDITIVE PROPERTIES AND APPLICATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2010年第3期30卷 726-732页

作者：张孝惠王根娣褚玉明 department of mathematics Huzhou Teachers College

In this article, the authors study some basic properties of the so-called quasilinear- additive functions, and some applications to the special functions of quasiconformal analysis are specified.

关键词： Quasilinear-additive generalized Grotzsch function quasiconformal

The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of mathematics 2004年第4期000卷 436-440页

作者： HAN Xiang-lin(department of mathematics, huzhou Teacher’s {2., huzhou 313000, China) department of mathematics Huzhou Teacher's CollegeHuzhou 313000 China

The nonlinear strongly singularly perturbed systemεyi" = fi(t, y,y’), a < t < b, i = 1, 2. …, n, yi(a,ε)-pily’i(a,ε) = Ai, yi(b,ε)+pi2.’i(b,ε) = Biare considered. Under suitable conditions, using the theory o... 详细信息

The nonlinear strongly singularly perturbed systemεyi" = fi(t, y,y’), a 2. …, n, yi(a,ε)-pily’i(a,ε) = Ai, yi(b,ε)+pi2.’i(b,ε) = Biare considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of interior solution for the problems are studied.

关键词： strongly nonlinear system singular perturbation problem interior layer asymptotic behavior

Asymptotic behavior of perturbed solution for simple coupled ocean-atmosphere model for ENSO

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Science Bulletin 2003年第S2期48卷 5-8页

作者： LIN Wantao~1 & MO Jiaqi~2.1. LASG, Institute of Atmospheric Physics. Chinese Academy of Sciences, Beijing 10002., China 2. department of mathematics, huzhou Normal {2., huzhou 313000. China Chinese Acad Sci Inst Atmospher Phys LASG Beijing 100029 Peoples R China huzhou Normal Coll Dept Math Huzhou 313000 Peoples R China

The El Nio/La Nia and the Southern Oscilla-tion are an interannual phenomenon involved in the tropicalPacific Ocean-atmosphere interactions. In this paper, basedon a kind of simple coupled ocean-atmosphere model forENSO, using the perturbed theory and method, the asymp-totic behavior of solution of corresponding problem is stud-ied. It is proved from the results that the trajectories of phaseplane for coupled ocean-atmosphere model ultimately tend tothe stable attractors separately.

关键词： nonlinear perturb ENSO model.

A CLASS OF NONLINEAR SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION

在线全文

学校读者我要写书评

暂无评论

Applied mathematics(A Journal of Chinese Universities) 2007年第2期22卷 201-206页

作者： Mo Jiaqi department of mathematics, Anhui Normal University, Wuhu 2.1000, China department of mathematics,{2., huzhou 313000, China Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 2.02.0, China. department of mathematics Anhui Normal University Wuhu 241000 China

A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptoti... 详细信息

关键词： nonlinear reaction diffusion singular perturbation boundary perturbation