在区域Ω的边界满足一致P-厚条件下,利用一致少厚的边界Sobolev不等式、一些容量不等式和一个精确的逆Holder不等式,我们给出了一类拟线性椭圆型方程divAp(x,Du)+Bp(x,u,Du)=f(x)弱解梯度的一致估计.
Under the conditions that the boundary of region Ω is uniform p- thick,by using Sobolev inequality with uniform P- thick boundary, some capacity inequalities and a precise inverse Holder inequality, we obtain a uniform estimate of gradient of weak solutions for a class of quasiliner elliptic equation: - divAp(x,Du) + Bp(x,u,Du) = f(x).