A compound having the following formula: or a pharmaceutically or cosmetically acceptable salt thereof, a tautomer, a stereoisomer or a mixture of stereoisomers in any proportion, in particular a mixture of enantiomers, and particularly a racemate mixture, wherein: - n, m and p represent, independently from one another, 0 or 1, - R represents a hydrogen or a fluorine atom or a CH 3, CH 2 F, CH 2 OH, CH 2 OSiR a R b R c, CH 2 OR 11, CH 2 OCOR 11, CH 2 OCO 2 R 11, CH 2 OCONR 12 R 13, CH 2 OP (OR 14) 2 or CH 2 OSO 3 R 14 group, - R 1 and R 2 represent, independently from one another, a fluorine atom or an OH, OSiR d R e R f, OR 15, OCOR 15, OCO 2 R 15 or OCONR 16 R 17 group, - R 3 represents a hydrogen or fluorine atom or an OH, OSiR g R h R i, OR 18, OCOR 18, OCO 2 R 18, OCONR 19 R 20, NR 19 R 20 or NR 19 COR 18 group, - R 4 represents a hydrogen atom when n = 1, and R 4 represents a hydrogen atom, an halogen atom or an OH, OSiR j R k R l, OR 21, OCOR 21, OCO 2 R 21, or OCONR 22 R 23 group when n = 0, or R and R 1, together with the carbon atoms carrying them, form a cyclic acetal having the following formula: and/or (R 1 and R 2), (R 2 and R 3), and/or (R 3 and R 4), together with the carbon atoms carrying them, form a cyclic acetal having the following formula: - X 1 represents a hydrogen atom, an halogen atom, a CN, OH, SO 2, SiR m R n R o, (C 1 -C 6)-alkyl, (C 2 -C 6)-alkenyl, (C 2 -C 6)-alkynyl, (C 3 -C 7)-cycloalkyl, OR 24, COR 24, OCOR 24, CO 2 R 24, NR 25 R 26, NR 25 COR 24, CONR 25 R 26, SR 24, SO 2 R 24, CSR 24 or OSO 3 R 24 group, and - U, V and W represent, independently from one another, a phenyl, pyrazolyl, N-(C 1 -C 6)alkyl-pyrazolyl, or thienyl ring, the said ring being optionally substituted with one or more substituents selected from the group consisting of an halogen atom, CN, OH, SO 2, SiR m R n R o, (C 1 -C 6)-alkyl, (C 2 -C 6)-alkenyl, (C 2 -C 6)-alkynyl, (C 3 -C 7)-cycloalkyl, OR 24, COR 24, OCOR 24, CO 2 R 24, NR 25 R 26, NR 25 COR 24, CONR 25 R 26, SR 24, SO 2 R 24, CSR 24 and OSO 3 R 24, with: - R 11, R 15, R 18, R 21 and R 24 representing, independently from one another, a (C 1 -C 6)-alkyl, (C 2 -C 6)-alkenyl, (C 2 -C 6)-alkynyl, (C 3 -C 7)-cycloalkyl, 5 to 7 ring-membered heterocycloalkyl, aryl, aryl-(C 1 -C 6)-alkyl or (C 1 -C 6)-alkyl-aryl group, this group being possibly substituted by one or more groups chosen among an halogen atom, OH, COOH and CHO, - R 12, R 13, R 16, R 17, R 19, R 20, R 22, R 23, R 25 and R 26 representing, independently from one another, a hydrogen atom or a (C 1 -C 6)-alkyl or aryl-(C 1 -C 6)-alkyl group, - R 14 representing a hydrogen atom or a (C 1 -C 6)-alkyl group, - R a to R o representing, independently from one another, a (C 1 -C 6)-alkyl, aryl or aryl-(C 1 -C 6)-alkyl group, and - R p to R s representing, independently from one another, a hydrogen atom or a (C 1 -C 6)-alkyl group, aryl or aryl-(C 1 -C 6)-alkyl group. - n, m and p represent, independently from one another, 0 or 1, - R represents a hydrogen or a fluorine atom or a CH 3, CH 2 F, CH 2 OH, CH 2 OSiR a R b R c, CH 2 OR 11, CH 2 OCOR 11, CH 2 OCO 2 R 11, CH 2 OCONR 12 R 13, CH 2 OP (OR 14) 2 or CH 2 OSO 3 R 14 group, - R 1 and R 2 represent, independently from one another, a fluorine atom or an OH, OSiR d R e R f, OR 15, OCOR 15, OCO 2 R 15 or OCONR 16 R 17 group, - R 3 represents a hydrogen or fluorine atom or an OH, OSiR g R h R i, OR 18, OCOR 18, OCO 2 R 18, OCONR 19 R 20, NR 19 R 20 or NR 19 COR 18 group, - R 4 represents a hydrogen atom when n = 1, and R 4 represents a hydrogen atom, an halogen atom or an OH, OSiR j R k R l, OR 21, OCOR 21, OCO 2 R 21, or OCONR 22 R 23 group when n = 0, - X 1 represents a hydrogen atom, an halogen atom, a CN, OH, SO 2, SiR m R n R o, (C 1 -C 6)-alkyl, (C 2 -C 6)-alkenyl, (C 2 -C 6)-alkynyl, (C 3 -C 7)-cycloalkyl, OR 24, COR 24, OCOR 24, CO 2 R 24, NR 25 R 26, NR 25 COR 24, CONR 25 R 26, SR 24, SO 2 R 24, CSR 24 or OSO 3 R 24 group, and - U, V and W represent, independently from one another, a phenyl, pyrazolyl, N-(C 1 -C 6)alkyl-pyrazolyl, or thienyl ring, - R 11, R 15, R 18, R 21 and R 24 representing, independently from one another, a (C 1 -C 6)-alkyl, (C 2 -C 6)-alkenyl, (C 2 -C 6)-alkynyl, (C 3 -C 7)-cycloalkyl, 5 to 7 ring-membered heterocycloalkyl, aryl, aryl-(C 1 -C 6)-alkyl or (C 1 -C 6)-alkyl-aryl group, this group being possibly substituted by one or more groups chosen among an halogen atom, OH, COOH and CHO, - R 12, R 13, R 16, R 17, R 19, R 20, R 22, R 23, R 25 and R 26 representing, independently from one another, a hydrogen atom or a (C 1 -C 6)-alkyl or aryl-(C 1 -C 6)-alkyl group, - R 14 representing a hydrogen atom or a (C 1 -C 6)-alkyl group, - R a to R o representing, independently from one another, a (C 1 -C 6)-alkyl, aryl or aryl-(C 1 -C 6)-alkyl group, and - R p to R s representing, independently from one another, a hydrogen atom or a (C 1 -C 6)-alkyl group, aryl or aryl-(C 1 -C 6)-alkyl group.