In our papers [ibid. 349, 83-128 (1984; Zbl 0527.35038) and ibid. 357, 1- 22 (1985; Zbl 0549.35061)] we established continuity and Hölder continuity for the spatial gradient of weak solutions of
We claimed that these results hold not only for but also for
Because of computational oversight (the coefficient of the first term of (iii) p. 87 of the first paper is (p-2)/4 instead of (p-2)/2, as pointed out by Chen Yazhe), the calculations are valid only for
The results can be extended to any p satisfying (2), taking for simplicity .