一类二阶拟线性椭圆型方程的Dirichlet问题（Ⅱ）

Dirichlet Problem for Quasilinear Elliptic Equations(Ⅱ)

应用上下解方法、截断函数方法并结合解的梯度的全局估计，得到了一类椭圆型方程Ｄｉｒｉｃｈ－ｌｅｔ问题正解的存在性（其中非线性项关于梯度的负增长不受任何限制）．并把所得结果应用于相应的拟线性抛物型方程的混合问题，得到了解的整体存在性．

By subsolution and supersolution method and cutting function method,and the entire estima-tion of,the existence theorem is obtained for the Dirichlet problem of quasilinear eiliptic equa-tions, where nonlinearity is arbitrary incresing about.By applying this result,the entire solu-tion exists for quasilinear equation associated with parabolic type.