An applicator for treating lipid-rich cells disposed under a cutaneous layer includes a vacuum cup defining an interior cavity. The vacuum cup has a first concave contour that defines a mouth of the interior cavity. At least a first cutout extends through a first sidewall of the vacuum cup. At least a first cooling unit is disposed in the first cutout. The cooling unit has a second concave contour. The cooling unit is configured for heat transfer with respect to the lipid-rich cells when the first and second contours engage the cutaneous layer.
