That is a silly question - We have none, absolutely zero - and so what? This isn't a danish problem any more than it is a british, french, russian, american, indian or chinese problem - all countries with carriers. Carriers that basically just roam the globe with no intent or purpose. The money are spent whether they serve a purpose or not.
The problem is political more than it is logistical! The carriers are there and they are more than capable of carrying out this task. But using aircraft to spook the pirates is a big escalation and would involve a real mandate from the UN and the involved countries. And concentrating your most potent weapons in one place has always been seen as a precursor of war - and no country is really interested in going to war with Somalia as there is nothing to gain (and no well defined enemy).
But I think as this escalates even further - and it will - these people are only getting more desperate, we'll be seeing the escalation I am "dreaming" about!