Residents are invited to attend a public hearing on Monday, Jan. 14,  at 7:15 p.m. in  Town Hall, 139 Main St., when the Board of Selectmen will act on an application by Joseph Coughlin of Gateway Realty Trust for a permit to place illuminated signs at 141  Newburyport Turnpike in the town’s retail district. Selectmen will accept written comments.