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In this talk,we want to discuss the global regularity for p-Laplacian type elliptic equations on convex domains with very rough boundary data.The maximal function,Vitali covering lemma and approximation(or compactness method)are the main techniques.To derive the approximation lemma,we need Lipschitz estimates for the corresponding homogeneous equations,where the convexity of the domain plays an important role.This is a joint work with prof.Lihe Wang.