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1)  nonvariational and nonlocal elliptic system
非变分非局部椭圆方程组
2)  nonlocal elliptic system
非局部椭圆型方程组
3)  nonlinear elliptic system
非线性椭圆方程组
1.
Under various conditions, the existence of critical points and nontrivial critical points is proved by using variational methods, the extreme theory and the Mountain Pass lemma, so that the solution and nontrivial solution of the nonlinear elliptic system is obtained.
将一类非线性椭圆方程组的求解问题化归为一给定泛函的临界点问题。
2.
Using the morse eritical groups, the nonlinear elliptic system is discussed.
应用Morse临界群讨论了如下的变分型的非线性椭圆方程组的非平凡解的存在性:(P)-Δu=λ(m11(x)u+m12(x)ν)+n1(x)|u|q-2u+Fu(x,u,ν) x∈Ω-Δν=λ(m21(x)u+m22(x)ν)+n2(x)|ν|q-2ν+Fv(x,u,ν) x∈Ωu| Ω=ν| Ω=0这儿,q∈(1,2),ni(x)可允许变号,这使得本文的结果是新的。
4)  nonlinear elliptic systems
非线性椭圆方程组
1.
In this paper,we consider the nonlinear elliptic systems under the controllable growth condition.
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。
2.
The partial regularity for nonlinear elliptic systems with controllable growth conditions is considered.
应用一个新方法,即用A 调和逼近技巧考虑了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。
5)  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
6)  non-cooperative elliptic systems
非合作椭圆方程组
1.
The author deals with two non-cooperative elliptic systems involving p(x)-Laplacian in a smooth bounded domainΩand in R~N respectively.
我们分别在有界光滑区域Ω和全空间R~N上考虑了包含p(x)-Laplacian算子的两类非合作椭圆方程组(椭圆系统)。
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1.纷纷。
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