The Dirichlet problem of nonhomogeneous AA-harmonic equations in unbounded open sets and some estimates

In this paper, we study the Dirichlet problem for nonhomogeneous AA-harmonic equations with Sobolev boundary values in unbounded open sets of RnRn. We prove the existence of solutions of nonhomogeneous AA-harmonic equations with Sobolev boundary values in any unbounded open sets of RnRn. Then, we establish some estimates for their solutions.