Homogenization Of A Class Of Boundary Obstacle Problems

We consider homogenization for a class of boundary obstacle problems related to the p-Laplacian on C1,? domains.Specially,if for any ?>0,aD = r???,???=?and aD?C1,?,S???.we prove that the energy minimizers u? of ?D|??|Pdx,subject to u??(which is the obstacle function)on a subset S?,converges weakly in W1,p to a limit u which minimizes the energy?D|??|P+??(u-?)p-?(x)dsx.This is an extension of a result by Yang[1].