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1.THE DIRICHLET PROBLEM FOR SECOND ORDER QUASILINEAR ELLIPTIC SYSTEM OF E_2 CLASS FOR MULTIPLY CONNECTED DOMAIN IN THE PLANE
多连通区域上E_2类二阶拟线性椭圆型方程组的Dirichlet问题收藏指正
2.This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
摘要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。收藏指正
3.By the methods of Green function, fixed point in a cone, Galerkin and upper and lower solutions in this paper, we deal with existence and non-existence of solutions to a class of nonlocal elliptic equation(systems) in a bounded domain and R~N, further more;
本文首先研究了有界区域和R~N上的一类非局部椭圆方程(组)解的存在性和不存在性，运用的主要方法有格林函数(Green function)、锥不动点方法和迦辽金(Galerkin)方法、上下解方法；收藏指正
4.In this paper, the elliptic problems are considered, based on domain decomposition, a preconditioner is presented, theoretical analysis seows that condition number of preconditioned system is proportional to O(1 + [ln(H/h)]2, where H is the subdomain diameter and h is the mesh parameter. The result is superior to that given by J. H. Bramble et al in condition ntmber.
理论表明，预处理后系统的条件数不超过 O（1＋［In（H／h）］2）； 其中 H，h分别为子域直径和剖分参数。收藏指正
5.Abstract: The second order elliptic partial differential equations are considered in an exterior domain,some new sufficient conditions for oscillation of all solutions of the equation are obtained by the sequence of functions.
文摘:利用函数序列方法，得到了保证二阶椭圆型微分方程在外区域Ω上一切解振动的新的充分条件.收藏指正
6.The second order elliptic partial differential equations are considered in an exterior domain,some new sufficient conditions for oscillation of all solutions of the equation are obtained by the sequence of functions.
利用函数序列方法，得到了保证二阶椭圆型微分方程在外区域Ω上一切解振动的新的充分条件.收藏指正
7.Domain Decomposition Methods for Fourth Order Elliptic Problems——Multi subdomain Overlap Case
解四阶椭圆问题的区域分解算法——多子域重叠情形收藏指正
8.On the overlapping domain decomposition methods for elliptic problems in multi-subdomain case
关于椭圆型问题的多子域重叠型区域分解算法收藏指正
9.Under suitable assumptions, it is proved that the solution Z(x, y) of elliptic Monge-Ampere equation possesses C~(2, α) regularity in the interior of the domain Ω, that is, for all Ω_0■■Ω, Z(x, y)∈C~(2,α) (Ω_0) holds (0<α<1).
本文在适当的假设下,证明椭圆型Monge-Ampere方程的解Z(x,y)在区域Ω内部具有C~(2.a)类的正则性,即对任一子集Ω_0■■Ω均有Z(x,y)∈C~2(2.a)(Ω_0)(0收藏指正
10.A Lagrange multiplier based fictitious domain method for the Dirichlet problem of a class of linear elliptic operators is discussed.
本文首先讨论了一类椭圆型算子Dirichlet问题的基于Lagrange乘子的虚拟区域方法。收藏指正
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