Non-aqueous, liquid coating compositions curable by free-radical polymerization of olefinic double bonds with a resin solids content consisting of 50 to 100 wt.% of a binder solids content curable by free-radical polymerization of olefinic double bonds, 0 to 30 wt.% of at least one crosslinking agent C and 0 to 50 wt.% of at least one component D, wherein the weight percentages add up to 100 wt.%, wherein the binder solids content consists of 40 to 95 wt.% of at least one component A curable by free-radical polymerization of olefinic double bonds and 5 to 60 wt.% of at least one binder B curable by free-radical polymerization of olefinic double bonds, wherein the weight percentages of the at least one component A and the at least one binder B add up to 100 wt.%, wherein the at least one component A is liquid and/or is present in dissolved form and wherein the at least one binder B is present as particles of resin having a melting temperature of 60 to 160°C.