pls help: deep-set eyes and dark circles

As you can see in the attached photos (I’m not wearing any makeup in them; they were all taken today, just in different lighting), I have deep-set eyes with visible shadows. The problem is that using concealer doesn’t make the shadows go away, because it seems like the light still refracts and creates a shadow anyway. Am I doomed to have shadows under my eyes? Maybe I’m using the concealer wrong?