一类拟线性椭圆型方程Dirichlet问题的上下解方法

Supersolution-Subsolution Method for the Dirichlet Problem for a Class of Quasilinear Elliptic Equations

利用上下解方法,借助变分不等方程,在一般条件下证明一类拟线性椭圆型方程Dirichelt 问题广义解存在性。

In the paper the Dinchlet problem for a class of quasilinear elliptic equations has been discussed. By means of supersolution-subsolution method the existence of the generalized solution of the problem has been proven if there exist a generalized supersolution and a generalized subsolution of the problem.