半空间上积分方程组正解的对称性、正则性和连续性

摘要

In this paper,positive solutions of some system of integral equations on half space are studied.The results show that the positive solutions are rotationally symmetric about some line parallel to xn-axis.The regularity and continuity of positive solutions are also studied.%研究半空间上积分方程组的正解，指出正解关于某条平行于 xn 轴的直线是旋转对称的，并给出正则性和连续性的结果。