Slice elk steak thinly across the grain. Slice onions and pepper, set aside.
Heat oil in a skillet over medium heat. Add onions and pepper. Stir and cook for 8 minutes. Push to one side of the skillet. Turn up heat to medium-high.
Add elk steak into the skillet with the vegetables. Fry 3 minutes, then stir. Continue cooking for 2-3 minutes, or until most of the pink is gone.
While vegetables and meat is cooking, butter the buns and toast under the broiler until golden brown. Watch it carefully so it doesn't burn.
When meat mixture is ready, spread it on the bottom buns. Add a layer of provolone cheese and put back under the broiler till melted. Add top buns and serve.
Notes
You can use this recipe for all wild game meat. Moose, antelope, and deer will be fantastic in this simple recipe.