Apolline (4729 Magazine St., 894-8881; www.apollinerestaurant.com), the Uptown restaurant formerly known as Dominique's on Magazine, has been running nightly drink specials to help reintroduce itself to the dining public. On Wednesdays you can get any wine offered by the glass for $5 and some bottles for $20. It also now offers happy hours from 5:30 p.m. to 7 p.m. Tuesdays, Thursdays, Fridays and Saturdays, when specialty cocktails are $2 off, well cocktails are $3 and an assortment of appetizers are $6 each.