While "double lip" embouchure is used on clarinet and saxophone by some players, it is quite uncommon. The traditional "pedagogy" of saxophone tone production has the weight of the head supported by the top teeth on the top of the mouthpiece. Beginners are often uncomfortable at first feeling the vibrations through the teeth, but that goes away. As others have said, a thick mouthpiece patch is a good solution. The challenge of using a "double lip" is that it requires a much greater muscle strength to achieve. My advice to beginning players is to master tone production using traditional methods first, and then experiment with other methods once that has been achieved.