  In this paper, we study a class of boundary value problems (BVPs) with Robin
conditions in some $L^p$ spaces for polyharmonic equation on Lipschitz domains.
Utilizing polyharmonic fundamental solutions, these Robin BVPs are solved by
the method of layer potentials. The crucial ingedients of our approach are the
classical single layer potential and its higher order analog (which are called
multi-layer $S$-potentials), and the main results generalize ones of second
order (Laplacian) case to higher order (polyharmonic) case.
