Minn. Stat. § 558.11: COMPENSATION BECAUSE OF INEQUALITY.

When it appears that partition cannot be made equal between the parties without prejudice to the rights or interests of some, the court may adjudge compensation to be made by one to another for equality of partition; but such compensation shall not be required to be made by an unknown owner, nor by an infant, unless it appear that the infant has personal property sufficient therefor, and that the infant's interest will be promoted thereby.