Disclosed is an at least partly crosslinked coating (K) composed of a near-surface coating zone (K1) and a volume coating zone (K2), the coating obtained from a composition comprising at least two different crosslinkable components (D1) and (D2), at least part of component (D1) having one or more surface-active structural units, wherein (i) the coating both in zone (K1) and in zone (K2) is at least partly crosslinked, and (ii) the crosslinking density of the coating in zone (K1) is higher than the crosslinking density of the coating in zone (K2). Also disclosed are coatings (K) wherein the concentration of component (D1) in the near-surface coating zone (K1) is higher than in the volume coating zone (K2), and the micropenetration hardness and/or the dry scratch resistance of the coating (K) is higher than that of an at least partly crosslinked coating (K′) obtained from a composition with no crosslinkable component (D1).