Preheat oven to 425 degrees.
Place your pie crust in your pie plate. I use a 9 inch frozen crust (not thawed).
Dice the apples into small pieces, about 1/2 inch pieces. Place diced apples in a microwave safe bowl. Add 1/4 cup water & heat for 3 minutes, or until apples just start to soften. Drain very well and let cool while preparing the rest of the pie.
Using a whisk, combine the eggs, corn syrup, 1/4 cup of sugar, salt, & melted butter.
To the cooled & drained apples, mix in the brown sugar, cinnamon, & cornstarch. Scoop into the bottom of your pie crust.
Sprinkle the pecans over the top of the apples in a flat and even later. Carefully and slowly, pour the corn syrup mixture over the pecans.
Place the pie on a cookie sheet & cover the edges with a pie crust shield or strips of aluminum foil to prevent over browning. Bake at 425 for 15 minutes. Then, lower the temperature to 325 and bake for 35-45 minutes, or until the top is puffed, slightly cracked, and the crust is golden brown.
Cool completely before slicing. Store the pie in the refrigerator. It may also be frozen for 3-4 months.