From The Local:
Sweden's largest Muslim organisation has demanded that Sweden introduce separate laws for Muslims, according to Swedish television. Sweden's equality minister Jens Orback called the proposals "completely unacceptable".
Good. Sooner or later a line must be drawn. Accepting Sharia in certain areas, or Sharia applied only to certain people would have been a defeat. Odd thing, nowhere in the article is the word "sharia" used.
From the wikipedia entry for Sharia:
In most interpretations of Shariah, the death penalty is applied as penalty for homosexual acts. According to the opinions of scholars, acceptable means of performing the execution included burning, throwing from tall buildings, and stoning. 
Death by stoning is also the penalty for adultery where one or two married individual are involved, while lashing with 100 strips is usually the penalty legally applied for fornication when the guilty party is not married.