Regularity of a boundary point for quasilinear elliptic systems of the second order

There is considered a quasilinear elliptic system of the divergence type. There are obtained continuity conditions for a general solution and its gradient at a boundary point. These conditions depend on the geometry of the domain and also on the sparseness of eigenvalues of the coefficient matrix of the system.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 590–596, May, 1991.