In , H?lder continuity for the spatial gradient of weak solutions ofut= div(|▽u|p-2▽u) in ΩT= Ω×(0,T) was established, where ▽= grad x, Ω(?)RN. We discuss here how the conditionp> max {1, 2N/N+2 }is determined by the behaviour of u . Theorem implies that for solution in LNloc(ΩT), the condition for the gradient of solution being H?lder continuous needs only p>1 . |