The present invention relates to a photo-crosslinkable cosmetic composition, in particular for coating a nail or a false nail, and more particularly for making up a nail or a false nail, comprising, in a physiologically acceptable medium: at least one photo-crosslinkable compound a) comprising at least one (ALK)acrylate function and at least one carboxylic acid function, at least one photo-crosslinkable compound b) comprising at least one (poly)urethane poly(ALK)acrylate compound, preferably polyurethane di(meth)acrylate compound, more preferentially polyurethane dimethacrylate compound, the photo-crosslinkable compound(s) b) comprising a (poly)oxyalkylene unit, in particular comprising a (poly)oxyethylene unit, preferably comprising from 1 to 100 oxyalkylene units, preferably from 5 to 50 oxyalkylene units, and preferentially approximately 8 to 10 oxyalkylene units, at least one photo-crosslinkable compound c) comprising at least one (poly)urethane poly(ALK)acrylate compound, preferably polyurethane di(meth)acrylate compound, more preferentially polyurethane dimethacrylate compound, comprising at least two carbamate units obtained by reaction with at least one diisocyanate of isophorone diisocyanate (IPDI) type. The present invention also relates to specific methods for applying such a composition.