All the images I can find of garments with "cortes en la solapa" have lapels that are separate from the collar; in other words, there is a "cut" between the collar and the lapel that extends right to the inner edge, the fold, so that you can have the collar completely turned up and the lapels lying flat. The examples John has posted show this clearly. Here's a close-up of the collar on the first one:
https://cdn-images.farfetch-contents.com/11/85/97/42/1185974...

This is a relative of standard notch lapels, which have a V-shaped indentation, but the notch doesn't extend right to the edge, so if you turn the collar up you will inevitably lift the lapels up a bit too (if you see what I mean).

The standard Spanish term for notch lapel seems to be solapa de muesca. See here; the three main types, redonda (shawl), de muesca (notched) and de pico (peaked), are illustrated about halfway down:
http://www.proyectomoda.com/puntos-basicos-del-haute-couture...

In English the images I can find of lapels like those described as "cortes en la solapa" are called "separate lapels", though in the first examples the expression "notch separate lapels" is used. But not just "notch":

"Men's sport overcoat, double breasted eight buttons three to use, notch separate lapels, fitted sleeves, extremely slim body, straps on cuff"
http://www.geniustailor.com/images/shop/387.jpg
Same description for these:
http://www.geniustailor.com/images/shop/384.jpg
They're on this page:
http://www.geniustailor.com/styles.php?c=70&p=10

Here a women's jacket:
"Description: Semi-fitted princess seamed jackets A, B have separate lapels, flared peplums and sleeve variations."
Look at the first picture on the page:
http://suzybeesews.blogspot.com.es/2011/09/mccalls-5936.html

Another:
"A partial lining (the sleeves are unlined), a simple collar and separate lapels"
The fifth picture on the page gives the best view of the lapels.
http://www.110creations.com/2014/05/pink-ponte-blazer.html