Other than reaching agreement over the order to implement the judgement, this is likely over - my understanding is that an appeal could only occur if the judge made an error of law, and they would need to convince another judge of this before being granted permission to appeal.
As of yet there isn't an order associated with the judgement - that's expected to be something negotiated between the parties. I'm unqualified to say what impact continuing to publish the material has on that process.