The present invention relates to a photo-crosslinkable cosmetic composition, in particular for coating a nail, and more particularly for making up a nail, comprising, in a physiologically acceptable medium: —at least one photo-crosslinkable compound a) comprising at least two (ALK)acrylate functions 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) preferably 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 film-forming polymer present in a total content strictly less than 30% by weight, relative to the weight of the total solids of the composition. The present invention also relates to specific methods for applying such a composition.