Zoning Issues Re: Converting Duplex to Triplex

[Tim Loughrist]

I own a duplex that has a crumbling foundation. In an ideal world, I'd replace the foundation and, in the process, make it possible to put a third unit in the basement. However, it is only zoned for single family or duplex.

Obviously the details depend on my local municipal code (Lincoln, NE), but has anyone had any success in getting a special use permit or appeal passed in a situation like this?