Domed articles are disclosed with reinforcements and adaptations for adhesively-applying them to a person's back while sleeping, to deter against the person sleeping supinely on their back, a posture that is commonly associated with louder and more dangerous snoring. The dome-like articles (1) are typically shaped like a campaign hat in that they have a central dome (or crown region) surrounded by a concentric, relatively-flat annular perimeter (or brim region), (2) have a hypoallergenic adhesive on a flat side of the brim—the side facing the person's back—for removably securing the domed article to the person's back, (3) are typically formed from a unitary plastic sheet with complex shapes and surface features that reinforce the strength of the dome to resist collapse when the person rolls onto it, such shapes and features including stress distributors and structural reinforcements such as intersecting arcuate ridges and/or troughs, and (4) have holes or other surface features to allow for ventilation of the space enclosed between the dome and the person's back.