Theres only one way Wolverine can die. As a fictional character he will 'die' when people forget about him, stop talking about or discussing or thinking about him. This thread therefore makes him immortal as long as it or any other wolverine fandom goes on.
However, In the sense of physical destruction I think its obvious that the recent trend in Wolverine storytelling is that he can recover from any physical attack. The best bet for destroying him would probably be some kind of high level psychic assault to destroy his mind and leave him a blubbering mush, or some kind of Manhattan-esque reality altering scenario, which is just silly because anyone should be mortal if the rules of reality can be re-written and are not an assumption.
There is also the option of erasing him from the importance of history by for instance, throwing him into a Star where he could not feasibly escape the gravity even if he could survive the inferno.
However, In the sense of physical destruction I think its obvious that the recent trend in Wolverine storytelling is that he can recover from any physical attack. The best bet for destroying him would probably be some kind of high level psychic assault to destroy his mind and leave him a blubbering mush, or some kind of Manhattan-esque reality altering scenario, which is just silly because anyone should be mortal if the rules of reality can be re-written and are not an assumption.
There is also the option of erasing him from the importance of history by for instance, throwing him into a Star where he could not feasibly escape the gravity even if he could survive the inferno.