Abstract: A run-flat pneumatic vehicle tire has at least one cross-sectionally crescent-shaped reinforcing profile incorporated in the region of each sidewall and respectively extending at least over a large part of the length of the sidewall. Bead regions with bead cores and bead profiles have at least one bead strip, arranged at least under the bead cores and forming the bead heel. The at least one bead strip, acting together with a rim seat, ensures the seating of the tire on the rim. In order to increase the static friction between the bead heel and the rim, the bead heel is formed of a soft rubber compound with a Shore A hardness of less than 70, at least radially underneath the core, on its outer surface that is facing the rim seat and rests on the rim seat.