An example of a nonlinear second order elliptic system in three dimension
We provide an explicit example of a nonlinear second order elliptic system of two equations in three dimension to compare two -regularity theories. We show that, for certain range of parameters, the theory developed in (2002), gives a stronger result than the theory introduced in , 1995. In addition, there is a range of parameters where the first theory gives H"older continuity of solution for all , while the theory is not applicable at all.