Damper unit comprising: - a cylinder filled with a damping fluid, in which cylinder a piston rod is guided in an axial direction of the cylinder for insertion and removal, the piston rod being associated with a base surface which extends between the piston rod and an inner wall of the cylinder and has at least one axial opening, which opening defines an effective flow cross-section for the damping fluid; the piston rod comprising, at its front end in the direction of insertion into the cylinder: - an stop which is fixed on the piston rod in the axial direction and which defines an end face in the direction of insertion of the piston rod; - a piston crown element which is supported on the piston rod so as to be axially slidable and which comprises the base surface; - a resilient element which prestresses the piston crown element relative to the piston rod in such a way that, when the piston rod is at rest, the base surface of the piston crown element and the end face of the stop are spaced apart by the action of the resilient element; and the resilient element being formed such that above a predetermined insertion speed of the piston rod into the cylinder, due to the dynamic pressure of the damping fluid the base surface of the piston crown element comes into contact with the end face of the stop against the action of the resilient element, the effective flow cross-section for the damping fluid being reduced by the interaction of the end face of the stop and the at least one axial opening of the base surface of the piston crown element, characterised in that the piston crown element is assigned a sealing element which produces a seal between the piston crown element and the inner wall of the cylinder, the sealing element having axial openings, which provide only slight resistance to the flow of the damping fluid compared to the piston crown element, and being operationally displaceable relative to the piston rod together with the piston crown element due to the dynamic pressure of the damping fluid. - a cylinder filled with a damping fluid, in which cylinder a piston rod is guided in an axial direction of the cylinder for insertion and removal, the piston rod being associated with a base surface which extends between the piston rod and an inner wall of the cylinder and has at least one axial opening, which opening defines an effective flow cross-section for the damping fluid; the piston rod comprising, at its front end in the direction of insertion into the cylinder: - an stop which is fixed on the piston rod in the axial direction and which defines an end face in the direction of insertion of the piston rod; - a piston crown element which is supported on the piston rod so as to be axially slidable and which comprises the base surface; - a resilient element which prestresses the piston crown element relative to the piston rod in such a way that, when the piston rod is at rest, the base surface of the piston crown element and the end face of the stop are spaced apart by the action of the resilient element; and the resilient element being formed such that above a predetermined insertion speed of the piston rod into the cylinder, due to the dynamic pressure of the damping fluid the base surface of the piston crown element comes into contact with the end face of the stop against the action of the resilient element, the effective flow cross-section for the damping fluid being reduced by the interaction of the end face of the stop and the at least one axial opening of the base surface of the piston crown element, characterised in that the piston crown element is assigned a sealing element which produces a seal between the piston crown element and the inner wall of the cylinder, the sealing element having axial openings, which provide only slight resistance to the flow of the damping fluid compared to the piston crown element, and being operationally displaceable relative to the piston rod together with the piston crown element due to the dynamic pressure of the damping fluid. - an stop which is fixed on the piston rod in the axial direction and which defines an end face in the direction of insertion of the piston rod; - a piston crown element which is supported on the piston rod so as to be axially slidable and which comprises the base surface; - a resilient element which prestresses the piston crown element relative to the piston rod in such a way that, when the piston rod is at rest, the base surface of the piston crown element and the end face of the stop are spaced apart by the action of the resilient element; and the resilient element being formed such that above a predetermined insertion speed of the piston rod into the cylinder, due to the dynamic pressure of the damping fluid the base surface of the piston crown element comes into contact with the end face of the stop against the action of the resilient element, the effective flow cross-section for the damping fluid being reduced by the interaction of the end face of the stop and the at least one axial opening of the base surface of the piston crown element, characterised in that the piston crown element is assigned a sealing element which produces a seal between the piston crown element and the inner wall of the cylinder, the sealing element having axial openings, which provide only slight resistance to the flow of the damping fluid compared to the piston crown element, and being operationally displaceable relative to the piston rod together with the piston crown element due to the dynamic pressure of the damping fluid.