Resumen de Some remarks on the regularity of weak solutions of degenerate elliptic systems

Luca Esposito, Giuseppe Mingione

• We prove the existence of second derivatives of the weak solutions u Î W1,p of the degenerate system div A(Du)=0, where no differentiability is supposed on the monotone vector field A : RnN ® RnN. We also give a boundedness result for the scalar case.