Bring a large pot of water to a boil and add 2 teaspoons of salt.
Peel the potatoes and cut them into 1-inch cubes. When the water is boiling, add the potatoes and cook until tender, about 10 to 12 minutes.
While the potatoes are cooking, heat the butter in a medium skillet. When melted, add the garlic. Cook over low heat just until the garlic starts to turn light golden brown. Take care not to burn the butter. Take the pan off the heat and set aside to cool.
When the potatoes are easily pierced with a fork, drain them and return them to the pot. The residual heat will help the excess water evaporate. Mash the potatoes with a potato masher or a ricer. Gradually add the milk until the potatoes are the desired consistency. Stir in the butter and garlic mixture, add the remaining 1 teaspoon salt and pepper to taste.
Form the mixture into pancake patties. Place in skillet with 1 teaspoons oil or butter and cook on each side for about 1 to 2 minutes over medium-high heat, until a bit crisped on both sides.