A corner dishwasher can be done, however not with a full size dishwasher. Most common dishwashers are 24" wide. To use a dishwasher in the corner, you would need to use a smaller one that are commonly used for apartments or a kitchenette. These models are usually 18" wide or smaller. As for it being installed without much expense, that would depend on your current kitchen layout. If the sink and more importantly the plumbing are close by, it should not break the bank.
If your using the kitchen for the average family, I would try to work your kitchen in any other possible way. The compact diswashers don't hold much and could need to be run after every meal.
Andrew Pellak Jr
A. M. Pellak Construction, LLC
I would caution against this. The reason for a lazy susan is that a corner space is very difficult to work with if you have cabinets returning on both walls. In this case, you will lose a lot of space if you try to install a corner dishwasher since you will need to allow room for the door to open. Plus you will need to leave room for your water and drain lines to run to your sink area.
You could stick one there, but you'll have to build some sort of frame to hold the countertop up. You would probably be better off with the sink in the corner. One benefit of sticking the sink in the corner is longer uninterrupted runs of counter space; the dishwasher won't help with that, and you aren't getting any real storage benefit from the corner in exchange.