On regularity up to the boundary of solutions to a system of degenerate nonlinear elliptic fourth-order equations

摘要

Under some hypotheses on weighted functions, using the interior regularity results established in (Kovalevsky, A. and Nicolosi, F., 2005, Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations. Nonlinear Analysis, 61, 281-307) and estimating the oscillation of solutions near the boundary of , we establish results on regularity up to the boundary of a solutions of the system (1.1).