The present invention relates to a kit for coating a nail or false nail, and more particularly for making up a nail or false nail, comprising, in a physiologically acceptable medium: —a first photo-crosslinkable composition 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, —a second photo-crosslinkable composition comprising, in a physiologically acceptable medium: —at least one photo-crosslinkable compound b) comprising at least one (poly)urethane poly(ALK)acrylate compound comprising a (poly)oxyalkylene unit, —at least one photo-crosslinkable compound c) comprising at least two carbamate units obtained by reaction with at least one diisocyanate of isophorone diisocyanate type, —at least one (ALK)acrylate monomer, preferably (meth)acrylate monomer, more preferentially tetrahydrofurfuryl methacrylate. The present invention also relates to specific methods for applying such a composition.
