1) nearlinear overdetermined elliptic equation system
拟线性超定椭圆型复方程组
2) Quasilinear elliptic complex equations
拟线性椭圆型复方程
3) quasilinear elliptic systems
拟线性椭圆型方程组
1.
By studying the existence of minimal points of the energy functional to a class of quasilinear elliptic systems,the uniform boundness of weak solutions for the elliptic problems with variable boundary data in a suitable trace space was given.
研究了具有变分结构的拟线性椭圆型方程组能量泛函的极小点的存在性,得到了椭圆问题弱解的一致有界性,结合集合收敛的意义,推广了半线性椭圆型方程组弱解对边值的稳定性结果。
2.
Some quasilinear elliptic systems are investigated in this paper.
本文讨论几类拟线性椭圆型方程组正解的存在性，多解性和不存在性，我们在第二章研究p-Laplacian方程组的径向正解的存在性，其主要方法是细致的先验估计和拓扑度理论，并用两次同伦映射将问题简单化。
4) quasilinear elliptic system
拟线性椭圆型方程组
1.
We study the existence and structure of entire explosive positive radial solutions for quasilinear elliptic systems (div(u~(m-2)u))=p(x)f(v), div(v~(n-2)v)=q(x)g(u) on R~N, where f and g are positive and non-decreasing functions on (0,∞).
研究了拟线性椭圆型方程组div( um-2 u)=p( x )f(v), div( vn-2 v)=q( x)g(u)在RN上爆破整体正对称解的存在性和解集的性质,其中f和g在(0,∞ )上是正的递增函数。
5) quasilinear elliptic systems
拟线性椭圆型方程(组)
6) system of nonlinear elliptic complex equations
非线性椭圆型复方程组
1.
This paper deals with a priori estimate and existence of the solution for a compound system of nonlinear elliptic complex equations of first order in a multiply connected domain.
讨论了一阶非线性椭圆型复方程组在平面多连通区域上的一类边值问题解的先验估计及存在
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