A NOTE ON REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Josef Danecek and Eugen Viszus

Address. J. Danecek, Institute of Mathematics, FAST VUT, Zizkova 17, 602 00 Brno, CZECH REPUBLIC

E. Viszus, Department of Mathematical Analysis, MFF UK, Mlynska dolina, 842 15 Bratislava, SLOVAK REPUBLIC

E-mail: mddan@fce.vutbr.cz, Eugen.Viszus@fmph.uniba.sk

Abstract. The $L^{2,\lambda}$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.

AMSclassification. Primary 49N60; Secondary 35J60

Keywords. Nonlinear equations, regularity, Morrey spaces