Multifunctional acrylic product, in particular a multifunctional acrylic oligomer, characterized in that it has a number-average functionality f greater than 2.1, preferably of at least 2.5 and more preferentially from 2.75 to 20 and even more preferentially from 3 to 14 acrylic groups per mole of said product and in particular with a density of said acrylic groups DA ranging from 2 to 12 mmol per g of said product, said product being the product of reaction by esterification and by etherification, by Michael addition reaction, between: a) a polyol R m or a mixture of polyols R m, of functionality m of at least 3, preferably of 3 to 6, more preferentially of 4 to 6 for a single polyol present and a number-average OH functionality greater than 2.1, preferably greater than 2.3, more preferentially of at least 2.5 and up to 6, for a mixture of said polyols, and b) the acrylic acid represented by R 1 OH, said reaction between a) and b) taking place in the presence of c) at least one cyclic carboxylic anhydride or of its polycarboxylic acid form R 2 (CO 2 H)z, of carboxy group (-CO 2 H) functionality z of at least 2 and ranging up to 4, preferably from 2 to 3, more preferentially 2, with: - the ratio r 1 of number of carboxy groups of said anhydride c) relative to those of b) acrylic acid, r 1 = (CO 2 H) c /(CO 2 H) b ranging from 0.01 to 0.4, preferably from 0.05 to 0.35 and more preferentially from 0.1 to 0.3, - the carboxy groups being overall in deficit relative to the hydroxyl groups of said polyol a), with r = CO 2 H/OH < 1, in particular less than or equal to 0.97 said acrylic product comprising in its composition both: - units A) of oligoether-ester acrylate that are derived from the reaction of a) and of b), formed by a Michael addition reaction: - of the OH groups of said polyol a) or - of OH groups of hydroxylated partial acrylates formed on the unsaturation of the acrylic acid b) or on the unsaturation of one of the acrylates formed by esterification with b) and simultaneous esterification with b) of said polyol a) and of said hydroxylated partial acrylates or (simultaneous esterification) with the carboxy groups of the carboxylated Michael adduct formed between a) and b), and - units B) of oligoester acrylates derived from c) by a reaction of esterification with said anhydride or with its polyacid form c) of said polyol a) or of said hydroxylated partial acrylates or of the hydroxylated ether-ester acrylates formed, and said acrylic product being a mixture of acrylic products comprising at least one acrylic product p1 chemically linking, in its molecular structure, the two types of units A) and B) as defined above. a) a polyol R m or a mixture of polyols R m, of functionality m of at least 3, preferably of 3 to 6, more preferentially of 4 to 6 for a single polyol present and a number-average OH functionality greater than 2.1, preferably greater than 2.3, more preferentially of at least 2.5 and up to 6, for a mixture of said polyols, and b) the acrylic acid represented by R 1 OH, - the ratio r 1 of number of carboxy groups of said anhydride c) relative to those of b) acrylic acid, r 1 = (CO 2 H) c /(CO 2 H) b ranging from 0.01 to 0.4, preferably from 0.05 to 0.35 and more preferentially from 0.1 to 0.3, - the carboxy groups being overall in deficit relative to the hydroxyl groups of said polyol a), with r = CO 2 H/OH < 1, in particular less than or equal to 0.97 - units A) of oligoether-ester acrylate that are derived from the reaction of a) and of b), formed by a Michael addition reaction: - of the OH groups of said polyol a) or - of OH groups of hydroxylated partial acrylates formed on the unsaturation of the acrylic acid b) or on the unsaturation of one of the acrylates formed by esterification with b) and simultaneous esterification with b) of said polyol a) and of said hydroxylated partial acrylates or (simultaneous esterification) with the carboxy groups of the carboxylated Michael adduct formed between a) and b), and - of the OH groups of said polyol a) or - of OH groups of hydroxylated partial acrylates formed on the unsaturation of the acrylic acid b) or on the unsaturation of one of the acrylates formed by esterification with b) and simultaneous esterification with b) of said polyol a) and of said hydroxylated partial acrylates or (simultaneous esterification) with the carboxy groups of the carboxylated Michael adduct formed between a) and b), and - units B) of oligoester acrylates derived from c) by a reaction of esterification with said anhydride or with its polyacid form c) of said polyol a) or of said hydroxylated partial acrylates or of the hydroxylated ether-ester acrylates formed,