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关于非线性椭园型方程组的弱Harnack不等式
On Weak Harnacks Inequality of Nonlinear Elliptic Systems
【摘要】 <正> §1.主要结果与辅助引理本文考虑如下的二阶椭园型非线性方程组divAi(x,u,Du)=0,i=1,2,…,N (1.1) 设ΩRn是一个有界开区域,函数u∈H21,loc(Ω,Rn)称为方程组(1.1)在Ω上的一个弱解,如果它满足(见[3])
【Abstract】 In paper [1], M. Meier obtained some houndedness and integrability results for nonlinear elliptic systems which generalized the results given by J. Serrin in [2]. In this paper, We discuss the Harnack type inequalities for a simpler, nonlinear elliptic systems of second order using a similar menhod as in [1], Under some suitable supposition. We have obtained the result‖u‖≤(infu + k).
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University (Natural Science Edition) , 编辑部邮箱 ,1986年03期
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