The disclosure provides a projection exposure method for exposing a substrate arranged in the region of an image plane of a projection lens with at least one image of a pattern of a mask arranged in the region of an object plane of the projection lens. A substrate is coated with a radiation-sensitive multilayer system including a first photoresist layer composed of a first photoresist material and, between the first photoresist layer and the substrate and a separately applied second photoresist layer composed of a second photoresist material. The first photoresist material has a relatively high first sensitivity in a first wavelength range and a second sensitivity, which is lower relative to the first sensitivity, in a second wavelength range separate from the first wavelength range. The second photoresist material has an exposure-suitable second sensitivity in the second wavelength range.