This article led me to another about the Whiskey War border dispute on this island, which is interesting:
In 1984, Canadian soldiers visited the island and planted a Canadian flag, also leaving a bottle of Canadian whisky. The Danish Minister of Greenland Affairs came to the island himself later the same year with the Danish flag, a bottle of Schnapps, and a letter stating "Welcome to the Danish Island" (Velkommen til den danske ø). The two countries proceeded to take turns planting their flags on the island and exchanging alcoholic beverages. In 2005 a Canadian man and an unknown source on the Danish side also posted advertisements on Google to "promote their claims".
The minor border dispute was often considered humorous between the two nations, with diplomats displaying good humour. Despite the serious official nature of the matter, the manner in which the conflict was prosecuted was light-hearted, demonstrated by the length of time taken to settle the dispute, if nothing else. Both nations are on friendly terms, and are also founding members of NATO.