A projection objective of a microlithographic projection exposure apparatus contains a plurality of optical elements arranged in N≧2 successive sections A1 to AN of the projection objective which are separated from one another by pupil planes or intermediate image planes. According to the invention, in order to correct a wavefront deformation, at least two optical elements each have an optically active surface locally reprocessed aspherically. A first optical element is in this case arranged in one section Aj, j=1 . . . N and a second optical element is arranged in another section Ak, k=1 . . . N, the magnitude difference |k−j| being an odd number.