In a large bowl combine the warm water and sugar.
Sprinkle the yeast on top of the water and allow it to sit for 2-3 minutes.
Add the sourdough starter and mix gently until combined.
Stir in the eggs, butter, and salt.
Add 3 cups of flour and mix until combined. Add additional flour 1/4 cup at a time until the dough is still wet but no longer sticky.
Turn the dough onto a floured surface and knead for 5-10 minutes or until the dough is smooth and is no longer sticky at all.
Place the dough in a greased bowl and cover. Put in a warm place for 1 hour or until it has almost doubled in size.
Once doubled divide the dough into 12 pieces. Roll each piece into a smooth ball and place in a greased 9 x 13 baking dish.
Cover the pan and allow the dough to rise for 1 hour.
Preheat the oven to 375 degrees.
Brush the rolls with melted butter and sprinkle with salt if desired.
Bake for 20 minutes.