一种半线性椭圆型方程的解的可去奇点

Removable Singularities of the Solution for Semilinear Elliptic Equations

本文处理了一种半线性椭圆型方程解的可去奇点问题,得到方程的弱解与一个定义在RN上的连续函数几乎处处相等的结论.

In this paper,we have dealt with the removable singularities of the solution for a class of semilinear elliptic equations. Our main result is that the weak solution of the equation coincides with a continuous function of the open subset of RN in almost everywhere.