A pillow for treating snoring and/or sleep apnea features at least one head recess having a bottom area for receiving and supporting a lateral side of a user's face, and a peripheral area spanning upwardly from the bottom area at a perimeter thereof. A neck channel extends from the head recess. The peripheral area of the head recess includes a chin region that reaches laterally outward from the neck channel at an angle and orientation such that the user's cervical spine resides in a relaxed non-extended state, and the user's mandible is maintained in a closed position. In embodiments for couples, first and second head recesses in the top of one pillow face inwardly toward one another, and third and fourth head recesses in either the bottom of the same pillow or the top of a separate pillow bottom surface face outwardly away from one another.