Defintion of dog-eared, eared. (a):
Worn or shabby from overuse or (of pages) from having corners turned down. "a somewhat dog-eared duke...a bit run down"-Clifton Fadiman;"an old book with dog-eared pages".
Defintion of eared. (a):
Having ears (or appendages resembling ears) or having ears of a specified kind; often used in combination.