一类椭圆方程正解的存在性

Existence of the Positive Solution of a Class of Elliptic Equation

主要研究一类非散度型椭圆偏微分方程正解的存在性.先利用blow-up技巧得到解的先确良验估计,再结合不动点定理给出了正解存在的一个充分必要条件.

This paper studies the existence of the positive solutioh of a class of elliptic equation with a non-divergence form operator. A necessary and sufficient condition for the existence of positive solution is given by using blow-up technique and fixed point theorem.