Pneumatic vehicle tyre for a wheel system comprising a • rim with rim flanges, • the pneumatic vehicle tyre, which is fitted on the rim, and • a supporting device, which is fitted on the rim axially inside the pneumatic vehicle tyre and the radial height of which exceeds the radial height of the rim flanges, wherein during emergency running the supporting device comes into contact with the pneumatic vehicle tyre radially outside the radial height of the rim flanges and absorbs load, • wherein the pneumatic vehicle tyre comprises sidewalls, beads with bead cores, a carcass, which reaches from the crown region of the pneumatic vehicle tyre over the sidewalls into the bead regions and is anchored there by wrapping around tension-resistant bead cores, a tread/belt assembly, located radially outside the carcass, and an inner layer, arranged radially inside the carcass, • wherein the pneumatic vehicle tyre has an emergency running layer radially inside the inner layer, • wherein the emergency running layer is arranged in such a way that during emergency running the emergency running layer and the supporting device are in contact and wherein the load absorption by the supporting device takes place at least partially in the region of the contact area between the emergency running layer and the supporting device, characterized in that • the emergency running layer is of elastomeric material, and • in that the elastomeric material contains at least one wax and/or at least one grease, wherein the elastomeric material has a higher proportion by weight (% by weight) of wax and/or of grease than the carcass rubber covering. • rim with rim flanges, • the pneumatic vehicle tyre, which is fitted on the rim, and • a supporting device, which is fitted on the rim axially inside the pneumatic vehicle tyre and the radial height of which exceeds the radial height of the rim flanges, wherein during emergency running the supporting device comes into contact with the pneumatic vehicle tyre radially outside the radial height of the rim flanges and absorbs load, • wherein the pneumatic vehicle tyre comprises sidewalls, beads with bead cores, a carcass, which reaches from the crown region of the pneumatic vehicle tyre over the sidewalls into the bead regions and is anchored there by wrapping around tension-resistant bead cores, a tread/belt assembly, located radially outside the carcass, and an inner layer, arranged radially inside the carcass, • wherein the pneumatic vehicle tyre has an emergency running layer radially inside the inner layer, • wherein the emergency running layer is arranged in such a way that during emergency running the emergency running layer and the supporting device are in contact and wherein the load absorption by the supporting device takes place at least partially in the region of the contact area between the emergency running layer and the supporting device, characterized in that • the emergency running layer is of elastomeric material, and • in that the elastomeric material contains at least one wax and/or at least one grease, wherein the elastomeric material has a higher proportion by weight (% by weight) of wax and/or of grease than the carcass rubber covering.