Swedish courts would not honor such a ruling if it were to be, since it would be against European law (there are no software patents in Europe). Generally court decisions almost never have international validity (especially business related ones).
this is a civil lawsuit (x has to give money to y because he created a damage), not criminal.
If they deem the trial fair, whatever the underlaying law was, they will enforce the decision.
If the business is in Sweden, it would have to go to court in Sweden, would it not?
Does Sweden actually allow judges to have a look at a foreign decision and then just declare their ruling, no trial, nothing? I suspect not (eager to learn if otherwise)
I think there are international treaties for that, to avoid having a re-trial. They rubber-stamp the foreign decision, and it becomes national stuff (still talking about civil).
No offense meant, but where does this idea come from? I hope it's not common - US Court decisions are valid in the US. Period.
Anything else is an international thing, and unless covered by treaties signed into law between countries, courts from one country never just honour some other countrie's legal system.
Extradition is possible on crimes where both countries agree it's a crime and generally have an extradition treaty, or policy for such requests, but to think that the US courts are somehow global is factually incorrect.
How would that be enforced for a download-only product? Also, there is another famous swedish operation which still hasn't been shut down despite enormous efforts by US firms.
edit: ok, any app store downloads probably could be shut down.