A liquid-crystal medium with positive dielectric anisotropy, comprising - one or more compounds of formula I in which R 1 denotes H, an alkyl or alkoxy radical having 1 to 12 C atoms, in which one or more CH 2 groups in these radicals are optionally replaced by -CH=CH-, -C≡C-, -O-, -CO-O- or -O-CO- in such a way that O atoms are not linked directly to one another, and in which one or more H atoms may be replaced by halogen, and Y 1 denotes H or CH 3; - one or more compounds selected from the group of compounds of the formulae II-1a, II-1c to II-1h, 11-2, II-3 and III in which R 2 and R 3 have the meanings given for R 1 under formula I, independently of one another denote L 21, L 22, L 23, L 24 L 31 and L 32 independently of each other, denote H or F, Y 2 and Y 3 identically or differently, denote H or CH 3, X 2 and X 3 independently of each other, denote halogen, halogenated alkyl or halogenated alkoxy with 1 to 3 C-atoms or halogenated alkenyl or halogenated alkenyloxy with 2 or 3 C-atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans- -CH=CH-, trans- CF=CF-, -CH 2 O- or a single bond, and I, m, n and o are, independently of each other, 0 or 1, where the compounds of formula I are excluded from formula III; - and one or more compounds selected from the group of compounds of the formulae LY-1, LY-2 and LY-3 in which R Y1 has the meanings given for R 1 under formula I, denotes O or a single bond, and v is 1, 2, 3, 4, 5, 6 or 7. - one or more compounds of formula I in which R 1 denotes H, an alkyl or alkoxy radical having 1 to 12 C atoms, in which one or more CH 2 groups in these radicals are optionally replaced by -CH=CH-, -C≡C-, -O-, -CO-O- or -O-CO- in such a way that O atoms are not linked directly to one another, and in which one or more H atoms may be replaced by halogen, and Y 1 denotes H or CH 3; R 1 denotes H, an alkyl or alkoxy radical having 1 to 12 C atoms, in which one or more CH 2 groups in these radicals are optionally replaced by -CH=CH-, -C≡C-, -O-, -CO-O- or -O-CO- in such a way that O atoms are not linked directly to one another, and in which one or more H atoms may be replaced by halogen, and Y 1 denotes H or CH 3; - one or more compounds selected from the group of compounds of the formulae II-1a, II-1c to II-1h, 11-2, II-3 and III in which R 2 and R 3 have the meanings given for R 1 under formula I, independently of one another denote L 21, L 22, L 23, L 24 L 31 and L 32 independently of each other, denote H or F, Y 2 and Y 3 identically or differently, denote H or CH 3, X 2 and X 3 independently of each other, denote halogen, halogenated alkyl or halogenated alkoxy with 1 to 3 C-atoms or halogenated alkenyl or halogenated alkenyloxy with 2 or 3 C-atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans- -CH=CH-, trans- CF=CF-, -CH 2 O- or a single bond, and I, m, n and o are, independently of each other, 0 or 1, where the compounds of formula I are excluded from formula III; R 2 and R 3 have the meanings given for R 1 under formula I, independently of one another denote L 21, L 22, L 23, L 24 L 31 and L 32 independently of each other, denote H or F, Y 2 and Y 3 identically or differently, denote H or CH 3, X 2 and X 3 independently of each other, denote halogen, halogenated alkyl or halogenated alkoxy with 1 to 3 C-atoms or halogenated alkenyl or halogenated alkenyloxy with 2 or 3 C-atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans- -CH=CH-, trans- CF=CF-, -CH 2 O- or a single bond, and I, m, n and o are, independently of each other, 0 or 1, - and one or more compounds selected from the group of compounds of the formulae LY-1, LY-2 and LY-3 in which R Y1 has the meanings given for R 1 under formula I, denotes O or a single bond, and v is 1, 2, 3, 4, 5, 6 or 7. R Y1 has the meanings given for R 1 under formula I, denotes O or a single bond, and v is 1, 2, 3, 4, 5, 6 or 7.