Electronic display device comprising an electroluminescent emission face and, towards the interior of this face, a substrate coated with a matrix of pixels, each pixel consisting of an organic light-emitting structure intermediate between and in electrical contact with two electrodes, one near and the other far relative to the substrate respectively, an electrically insulating resin covering the substrate between the respective near electrodes of the pixels and furthermore extending onto a peripheral edge of each near electrode, each pixel incorporates at least one auxiliary electrode which is transparent or semitransparent to this light, which is based on a metallic material having a work function identical or substantially identical to that of the near electrode and which extends inclinedly on the surface of this resin and facing said edge, from the near electrode towards the far electrode, so as to maximize the emission area of each pixel and to vary the thickness of the optical cavity formed between the near electrode of each pixel and the far electrode.