A microlithographic projection exposure apparatus includes: a projection lens for imaging mask structures via an exposure radiation including at least one optical element and at least one manipulator; a read-in device for reading in application-specific structure information defining at least one property of an angular distribution of the exposure radiation upon entering the projection lens; and a travel establishing device for establishing a travel command defining a change to be made in an optical effect of the at least one optical element by manipulation of a property of the optical element via the at least one manipulator along a travel. The travel establishing device is configured to establish the travel command in an at least two-stage optimization.