椭圆型方程组

分数次空间中一阶椭圆型方程组的Riemann-Hilbert问题

Riemann-Hilbert problems of elliptic system of first order in fractional spaces

上半平面上的第一类椭圆型方程组的自然积分方程

The Natural Integral Equation and Poisson Formula of an Elliptic System on the Upper-half Plane

E2类二阶椭圆型方程组的Neumann问题

The Neumann problem for e_2 class of systems of Second Order Elliptic Equations

一类二阶线性椭圆型方程组Dirichlet问题按Hausdorff可解性

On the Hausdorff solvability of Dirichlet problem for a class of Second Order Elliptic Systems

平面一阶非线性椭圆型方程组的Riemann边值问题

The Riemann Boundary Value Problem for Nonlinear Elliptic Systems of First Order in the Plane

平面一阶椭圆型方程组的非线性Poincare问题

Nonlinear Poincare problems for a system of first order elliptic equations in the plane

对角形椭圆型方程组的解的Liouville型定理

A Liouville type theorem for solutions of diagonal form elliptic simultaneous equations

二阶椭圆型方程组Neumann问题粘性解的比较原理

The Comparison Principle for Viscosity Solutions of the Neumann Problems of the Fully Nonlinear Monotone Second-order Elliptic Systems

加权Sobolev空间和非线性椭圆型方程组

Weighted Sobolev Space and Nonlinear Elliptic Systems

二阶非线性椭圆型方程组Poincaré问题解的稳定性

Stability of Solution of Poincar é Problem for Nonlinear Elliptic System of Second Order Equations

主要用Fourier变换法讨论第一类椭圆型方程组在上半平面的自然积分方程和Poisson积分公式。

We explore the natural boundary integral equation and Poisson formula of the elliptic equation of the ? rst type in the upper-half plane by using the Fourier Transformation .

散度型拟线性椭圆型方程组弱解的Harnack型不等式

The Harnack Type Inequality for Bounded Solutions of Quasi-linear Elliptic Systems in Divergence Form

本文将一类二阶椭圆型方程组化为等价的一阶复方程组，通过引入新的积分算子，然后利用Fredholm定理证明了解的存在性。

In this paper , by the method of making a group of equivalent complex equations of a bounded domain and Fredholm theorem , we obtained the existing of solutions for a class of second order elliptic systems .

通过Kelvin变换，对移动平面法作了重要的改进和简化，利用移动球面法证明了一类半线性椭圆型方程组古典正解的存在性与不存在性定理；

In this paper , we introduce the Kelvin transforms and apply the method of moving spheres which is the significant simplifications of moving plane method to prove the existence and nonexistence of positive solutions for a class of semilinear elliptic systems .

利用强椭圆型方程组解必定唯一的结论，证明了某些二阶常系数线性椭圆型方程组在有界闭区域内Dirichlet问题解的唯一性。

By use of the result that the strongly elliptical equations has the uniqueness of the solution , it is proved that the uniqueness of the solution about the Dirichlet problem for some linear elliptical partial difference equations of two order in a bounded domain .

对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；

For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ;

讨论一阶椭圆型方程组的广义Riemann-Hilbert问题，利用广义解析函数和奇异积分理论以及不动点原理，证明在适当的假设下，此边值问题可解。

The generalized Riemann-Hilbert problem for the first order elliptic systems is studied . By using the generalized analytic function theorem , the singular integral theorem , and fixed-point theorem , it has been shown that the problem is solvable under certain assumptions .

关于一类常系数Q-亚椭圆型方程组

A Class of Q-Hypoelliptic Systems of Differential Equations with Constant Coefficients

对角形退缩椭圆型方程组弱解的局部正则性

Local Regularity of Weak Solutions for Degenerate Elliptic Systems with Diagonal Form

四维空间中退化椭圆型方程组的混合边值问题

The Mixed Boundary Value on Degenerate Elliptic Systems in 4 dimensional Space

三阶椭圆型方程组的复形式与存在定理

Complex Forms and Existence Theorems for Elliptic Systems of Third Order Equations

超定椭圆型方程组的边值问题

On Boundary Value Problem for Overdetermined Elliptic Equation Systems

椭圆型方程组边值问题解的存在性与多解性

Existence of solutions for some type of elliptic equations

椭圆型方程组解的性质的某些发展

Some development on properties of solutions of Elliptic Systems

求解半线性椭圆型方程组的并行算法

Parallel Algorithms for Solving Semi Linear Elliptic Equations

多连通域上二阶非线性椭圆型方程组广义黎曼-希尔伯特问题

The generalized Riemann-Hilbert Problem far a multi-connected region of Second Order Non-linear Elliptic Equations

讨论了在全空间上拟线性椭圆型方程组的非平凡解的存在性。

The existence of weak solution for quasilinear elliptic system in the whole space is studied .

一类具有非变分结构的拟线性椭圆型方程组弱解对边值的稳定性

Stability of Weak Solutions of a Class of Non-Variational Quasi-Linear Elliptic Systems with Respect to Boundary Data

一类非线性椭圆型方程组解的C~（1，α）部分正则性

The C ~ ( 1 ;α) Partial Regularity of Solutions of a Certain Class of Nonlinear Elliptic Systems

多个未知函数的一阶非线性椭圆型方程组于平面多连通区域上的某些非线性边值问题

Some Nonlinear Boundary Value Problems for Nonlinear Elliptic Systems of Several First Order Equations in a Multiply Connected Domain