Systems and methods selectively stabilize tissue in the oral cavity. The systems and methods provide a first material sized and configured to be fitted to less mobile tissue in the oral cavity, e.g., the roof of the mouth or upper/lower teeth. The systems and methods provide a second material sized and configured to be releasably fitted to more mobile tissue in the oral cavity, e.g., a region of the tongue. The second material is magnetically attracted toward the first material to stabilize a preferred tissue orientation. During sleep, the systems and methods restrain movement of the more mobile tissue within the oral cavity toward positions in which snoring and/or sleep apnea events can occur, but are capable of otherwise leaving the tongue unaffected during waking hours.