Is it possible to have strong glasses that don't warp stuff on the edges?

I have -4.25 glasses. Whenever I look at anything near the edges of my glasses, it heavily curves inwards towards the center of the lens. I think this may be an issue with the manufacturing because my old -2.75 glasses don't do this at all. Is there some sort of specification to fix this? How should I go about ordering a pair without this issue?