一类半线性椭圆型方程解的可去奇点问题

摘要

通过建立不同的实验函数以及所需要的截断函数,并运用椭圆型方程的正则性理论,研究了一类半线性椭圆型方程解的可去奇点问题.得到其半线性椭圆型方程分布意义下的解,与一个定义在RN中开子集上的局部H(o)lder连续函数几乎处处相等的结论.%The removable singularities of the solution of a class of semilnear elliptic equations were dealt with. The main result is that weak solution of the equation coincides with a continuous function of the open subset of RN almost everywhere.