证明了一类非线性椭圆型方程径向对称解的唯一性。
Uniqueness of radially symmetric solutions for a class of nonlinear elliptic equations is proved.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.
考虑具有可控增长条件的非线性椭圆方程组弱解的部分正则性。
In this paper, we consider the nonlinear elliptic systems under the controllable growth condition.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性。
In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems.
推导了喂料熔体流导率的计算公式，得出压力场的控制方程是一非线性椭圆偏微分方程。
The pressure equation for the liquid phase is obtained as which is a no-linear elliptic partial differential equation.
通过极小化作用原理和极小极大方法得到了一类四阶非线性椭圆方程解的存在性和多重性。
The existence and multiplicity results are obtained for a class of fourth-order nonlinear elliptic equations by the least action principle and the minimax methods, respectively.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文中，我们提出了一个具有两种临界指数的非线性椭圆型方程问题，证明了狄氏问题的正径向解的存在性。
In this paper a problem of nonlinear elliptic equations involving two kinds of critical exponents is given, and also the existence of positive radiate solutions of the Dirichet problem is proved.
讨论了一阶非线性椭圆型方程组斜微商问题解的稳定性，这个结果是借助于有关边值问题解的先验估计而导出的。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。
Onthe other hand, with traditional iterations and the conjugate gradient(CG) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1-D and 2-D cases.
为提高噪声环境下椭圆类物体形状检测算法的稳定性与准确性，本文提出非线性数据拟合模型结合交叉参考迭代的新思路。
To solve the problem of ellipse - object - shape parameters detection in noise image, a new detection algorithm using nonlinear data fitting model and cross-reference iterative method is proposed.
基于滑动轴承油膜力数据库的连续性分析，建立了椭圆轴承非线性油膜力的神经网络计算模型。
Based on continuity analysis of oilfilm force databases of hydrodynamic bearings, neural network model of nonlinear oilfilm forces of elliptical bearings is developed.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
研究结果为在实际旋转机械转子-椭圆轴承系统进行非线性动力学分析和设计时，选择油膜力模型提供了依据。
The foregoing provides a basis for the selection of oil-film force model during the nonlinear dynamic analysis and design of an actual rotating mechanical rotor-elliptic bearing system.
对金属橡胶叠层复合材料进行动态加载试验，发现该材料具有明显的非线性迟滞特征，迟滞回线并非椭圆。
The dynamic load test is carried out for the metal rubber laminated composite. It is found that the composite has nonlinear hysteretic characteristics, and hysteretic curve is not ellipse.
利用椭圆函数滤波器较陡的过渡带特性设计前向和后向滤波器，消除由于IIR滤波器造成滤波后的数据相位非线性失真。
A back and forward filter with steeper transitional band was designed of ellipse function. It can remove nonlinear phase distortion caused by IIR filter.
应用第一类完全椭圆积分求出了非线性振动周期的精确解。
The exact solution of the period is got by using the first kind of complete elliptic integral.
应用非线性有限元程序对单层椭圆旋转壳进行了整体稳定分析，并介绍了网壳的节点设计情况。
With the nonlinear finite element program, the whole stability of the single-layer elliptic rotary shell is analyzed; and the joint design of the reticulated shell is introduced.
研究在外部区域中拟线性椭圆型方程，具有非线性边界条件的边值问题。
This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
本文研究一类拟线性椭圆—抛物型方程，具有非线性边值条件的奇异摄动问题。
In this paper, we consider singularity perturbed problem for a kind of quasilinear elliptic-parabolic type equation with nonlinear boundary value conditions.
考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长。
Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution.
考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长。
Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution.
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