散度型拟线性弱椭圆方程组α_S—弱解的最大模估计

AN UPPER ESTIMATION FOR_(α_a)-WEAK SOLUTION OF QUASILINEAR WEAK ELLIPTIC SYSTEM IN DIVERGENCE FORM

在这篇文章中,我们讨论了散度型拟线性弱椭圆型方程组正解的最大值原理。利用拟线性Hlder恒等式和迭代技巧,得到了关于u和p具有多项式增长的方程组的Dirichlet问题的α_s—弱解的最大值估计。这里,α_s—弱解包括了所有正弱解。

The maximum principle of the weak positive solution for quasilinear weak elliptic system in divergence form is investigated in this paper. We obtain the uniformly estimation of the vraimaxmum for the α_s-weak solution of the Dirichlet problem of system with polynomial growth in u and p, by means of the quasilinear Hlder identical relation and iterative technique.