On the limit smoothness of solutions of the second order elliptic systems (Q1311184)

The author gives the proof of the regularity theorem for the solution to the boundary value problem for a quasilinear elliptic system in the dependence to the scattering of eigenvalues of the coefficient matrix. Using the technique of classical Morrey spaces, he obtains the result for the limit case. Further, he proves the Liouville theorem and constructs an example of a system on which he demonstrates the sharpeness of some of his results.