有界域

This paper mainly studied the semilinear biharmonic elliptic equation with multi-singularity and critical exponcnt,in which we mainly studied,where N≥5,k∈N,(λ_1,λ_2,…,λ_k)∈R~4,(a_1,a_2,"",a_k)∈R~(4n) and 2~*=2N/N-4 is the critical Sobolev exponent.

文章主要在有界域Ω中研究了如下含多奇性的半线形椭圆型问题其中N≥5，k∈N，(λ_1，λ_1，…，λ_k)∈R~k，(a_1，a_2，…，a_k)∈R~且2~*=2N/N-4是临界的嵌入指数，由于Sobolev嵌入失去紧性，所以文章将通过集中紧原理得到正解的存在性。

In the paper, we study the existence and eigenvalue problem of p-Laplacian equation with No flux boundary condition in a bounded domainΩ?

中文摘要：本文主要研究了R~N中有界域上p-Laplacian方程在无流边界条件下问题解的存在性及特征值问题。

Finally,we deal with the stability problem of the Bergman kernel,i.e.,do theBergman kernels of〓converge to the Bergman kernel of D on compact subsets of〓where〓is a sequence of bounded domains converges to a bounded domainD in the sense of Boas?

最后我们研究Bergman核的稳定性问题，即，若一列有界域〓按Boas意义下收敛于一个有界域D，是否有〓的Bergman核在〓上局部一致地收敛到D上的Bergman核？

Finally, we deal with the stability problem of the Bergman kernel, i.e., do the Bergman kernels of D_k. converge to the Bergman kernel of D on compact subsets of D × D where D_k i-s a sequence of bounded domains converges to a bounded domain D in the sense of Boas?

最后我们研究Bergman核的稳定性问题，即，若一列有界域D_k按Boas意义下收敛于一个有界域D，是否有D_k的Bergman核在D×D上局部一致地收敛到D上的Bergman核？

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

Based on Chen's model about axial flow induced vibration of a rod bundle in an unbounded domain, a mathematical model concemed with circular domain is presented, and the expressions for fluid forces are given in detail.

三、基于Chen关于无界域轴向流动中棒束流致振动的模型，推导了有界域棒束轴向流致振动的数学模型，得到了关于流体力的表达式。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。

In addition, in order to extend existing methods on bounded domains to unbounded domains, a simple practical approach is proposed by higher continuous differentiable homeomorphism.

另外，利用高阶连续可微的同胚映射，给出了一种实用的转化方法，将现有的有界域上的区间算法推广到无界域上。

In this paper,we study the oscillation properties of solutions to the following problems of three classes of delay parabolic equations of neutral type.where Ω is a bounded domain in R~n with a piecewise smooth boundary ?

本文研究了三类中立型时滞抛物方程：解的振动性。其中G=Ω×(0，+∞)，Γ=Ω×0，+∞，ΩR~n是有界域，边界Ω逐片光滑，Δ是拉普拉斯算子，？

The main goal of the thesis is to study such some problems as theexistence of weak solutions of quasilinear elliptic equations involvingcritical Sobolev exponents on a bounded domain and〓,the unique-ness of weak solutions、regularity of weak solutions、stability ofweak solution on exponent p、continuity of very weak solutions ondomains、the fusion problem of weak solutions and the existenceof minimal positive solution of a class of quasilinear elliptic obstacleproblems,which have been extensively concerned,but have not beensolved satisfactorily in the latest several years.

本文主要对近年来人们普遍关注而又没有完全解决的几个问题——有界域及无界域上带临界增长的拟线性椭圆方程弱解的存在性，弱解、很弱解的唯一性、正则性，解关于区域的连续依赖性，解关于指数的稳定性，弱解、很弱解的合并问题，以及椭圆型偏微分方程对应的障碍问题极小正解的存在性等进行研究。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。