No Result from Eyebrow Lifting by Botox - Why?

The technique you describe injecting 2-3 units over the lateral brow would normally result in lifting of the lateral brow but there are many variables influencing this especially the patient's anatomy.  Many times, the opposing muscles also need to be treated to augment eyebrow lifting such as injecting the glabellar muscles which would help lift the medial (inner) eyebrows.  The glabella usually requires 20-30 units (some people with weaker smaller muscles may be able to get away with only 10 units).  There are great anatomic differences between men and women and individuals (ie: low set brows vs. high forehead) which requires independent evaluation of each patient to determine the best areas to inject and how much.  Injecting in the mid-pupiillary line 2 cm above the eyebrow would not result in an eyebrow lift.  You probably need to have Botox injected in the glabella in order to augment the eyebrow lift.

That's a standard dose but in your particular case it may take a stronger dose or placement in a slightly different area to get an effect.