According to at least one embodiment of the present disclosure, a multilayer elastic film comprises a core layer, a first outer layer, and a second outer layer. The core layer comprises at least 75 wt % polyolefin elastomer such as an ethylene/alpha-olefin block copolymer or a propylene-based plastomer. The first outer layer and the second outer layer each comprise at least 75 wt % of an ethylene-based copolymer, wherein the ethylene-based copolymer is selected from the group consisting of: (I) greater than 50 wt % of ethylene, from 5 to 16 wt % of an α,β-ethylenically unsaturated C3-C8 carboxylic acid, and optionally, from 0.5 to 10 wt % of an alkyl acrylate; (II) from 86 to 95 wt % of ethylene, and from 5 to 14 wt % of an alkyl acrylate; and (III) combinations thereof.