一类半线性椭圆型方程在有界洞型区域内的非负解

On Nonnegative Solutions to A Class of Semi-linear Elliptic Equations Under Bounded Hole-shaped Domains

利用极值原理将一类半线性椭圆型方程的解进行变换,再根据不动点定理证明了这一类半线性椭圆型方程在有界洞型区域内非负解的存在性,同时得出该非负解的有界性.

Solutions to a class of semi-linear elliptic equations are first transformed by using extremum principle,then,the existence of nonnegative solutions to semi-linear elliptic equations under bounded hole-shaped domains is proved on the basis of fixed point theorems,and hence,the result that the nonnegative solutions are bounded is obtained.