The Dirichlet problem of nonhomogeneous [formula omitted]-harmonic equations in unbounded open sets and some estimates

Abstract

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