Same entry, according to Adler, in the Ambrosian Lexicon (74), and cf. more generally the scholia to Apollonius Rhodius, Argonautica 1.932 (where the genitive case occurs), on which see further below.
Abarnis lay on the southern shore of the Propontis (Sea of Marmara), between Parion and Lampsakos; Barrington Atlas map 51 grid H4. According to Stephanus of Byzantium s.v. *)/abarnos (sic), Abarnos and Aparnis were also attested versions of its name.
A scholium to Apollonius Rhodius, Argonautica 1.932 (repeated in more legible form in Etymologicum Magnum 2.11-28) provides an etymological explanation of the origin of the name in Aphrodite's refusal (a)parnh/sasqai) to recognize her offspring Priapos, who was born in the region.