| In this study we obtain the global W2, p, 1 < p < infinity, estimate for the weak solution of linear fourth order elliptic equations. Our results are based on the assumptions that the boundary of the domain is only assumed to be nontangentially accessible and that the coefficients are allowed to be discontinuous. We used the Calderon-Zygmund estimates, the Hardy-Littlewood maximal functions and the compactness method to prove the required regularity of solutions. |
