在无界域中具散度形式的非线性椭圆型方程边值问题

BVPS for Nonlinear Elliptic Equations with Divergence form in Unbounded Domains

先用非线性泛函方法证明混台边值问题解的存在性,然后证明在有界城外部具散度主部的非线性椭圆型方程边值问题解的存在与唯一。

By means of the methods of upper and lower Solutions,The existence and uniqueness of the solution are proved for nonlinear elliptic BVP in a general unbounded domain in Rn,including the exterior of a bounded domain.