中文摘要：

研究了p-Laplacian型方程障碍问题.通过定义单位球内的一类函数族G（p）（它包含所求障碍问题的解）,证明了G（p）中的函数在自由边界的增长率为p/（p-1）,即证明了所求障碍问题的解在自由边界的增长率.由G（p）中的函数在自由边界的增长性,证明了障碍问题自由边界的多孔性.

英文摘要：

The obstacle problem for p-Laplacian type equation is discussed. By defining a class offunctions y5（p） in a unit ball which contains the solutions to the obstacle problem, it is proved that the growth of each function in the class y5（p） is p/（p--1）. Then the p（p--1）-growth of each solution to the obstacle problem near the free boundary is obtained. By the exact growth of the functions in y（p）, a porosity result for the free boundary of solutions to the obstacle problem is established.