用椭圆型方程生成的数值网格是一种贴体网格；
Numerical grids generated by solving elliptical equations are boundary-fitted.
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.
本文讨论了具有转向点的奇摄动椭圆型方程边值问题。
The singularly perturbed elliptic equation boundary value problem with turning point is considered.
本文研究了一个半线性椭圆型方程正整体解的存在性问题。
In this paper we study the existence of positive global solutions for a semilinear elliptic equation.
在第三章中证明了拟线性椭圆型方程正奇异解的能量估计。
In chapter 3, we study the energy estimate of singular positive solutions for a class quasilinear elliptic equations.
多重网格法是求解椭圆型方程边值问题的一种快速迭代算法。
The multigrid method is an efficient numerical iteration algorithm for solving elliptic variational problems.
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.
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;
这些结果能用来研究椭圆型方程组边值问题径向对称解的存在性。
These results can be applied to the study of the existence of the radial solutions for the elliptic boundary value systems.
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.
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.
本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。
A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.
本文利用移动球面法证明了一类半线性椭圆型方程组正解的存在性与不存在性。
Existence and nonexistence of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.
本文对一般的二阶线性椭圆型方程，在满足内部锥条件时，证明了其强极值原理。
In this paper, the strong extremal principles have been proved for second or der linear elliptic equations on the domain which satisfies an interior cone condition.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
在第二章中我们证明了拟线性椭圆型方程存在无穷多个正奇异对称解，并且满足先验估计。
The main contents are as follows: in chapter 2, we proved that there exists infinitely many singular positive radial solutions which satisfy apriori estimates for quasilinear elliptic equations.
利用多重网格法的思想，构造出一种求解椭圆型方程边值问题的预处理迭代格式，并给出了收敛性证明。
By use of multigrid method, this paper proposes a preconditioned iteration method solving the boundary value problem of elliptic equations, the proof of convergence is given.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
In this paper, the maximum principles for solutions of four classes of semi-linear ellipic equations are established.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.
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.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems 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.
自适应网格法是80年代兴起的通过求解椭圆型方程的边值问题来数值生成网格的一种新方法。它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。
Adaptive mesh method which raises in 80's is a new method to numerical generate grid by solving a boundary value problem of elliptic equation.
本文用分片线性元离散椭圆型问题。用预处理共轭梯度法求解有限元方程。
In this paper, the elliptic problems are discreted by linear elements, the finite element system are solved by PCG method.
提出了椭圆型缓坡方程的一种并行数值模拟方法，并在微机群集并行系统上进行了数值实现。
A parallel solution method is proposed for the simulation of the elliptic mild slope equation and implemented on a personal computer cluster.
研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
应用推荐