An apparatus for treating a cornea (20) of an eye, the cornea having an epithelium, an internal part (42) and an external part (44) arranged radially outwardly of the internal part (42), the apparatus comprising an applicator ( 110), in which: the applicator (110) is formed to contact at least the outer part (44) of the cornea (20); The applicator (110) is configured to numb or cut the nerves (30) of the outer part (44) of the cornea (20) to enervate the nerves (30) of the outer part (44) of the cornea (20) that they extend into the inner part (42) of the cornea (20) and inhibit the pain of the inner part (42) of the cornea (20), in which the applicator is in the form of an annular ring comprising an insulator and at least two annular bipolar electrodes, separated and arched within the annular ring; and circuits coupled to the at least two bipolar electrodes to define a treatment profile with an electric field disposed between the at least two bipolar electrodes, in which the circuits are configured to supply pulses of RF energy to enervate the external part (44 ) of the cornea (20) with the electric field applied to the ribs (30), characterized in that the circuits are further configured to supply pulses of RF energy at a frequency within a range of 1 kHz to 1 GHz, a Pulse duration within a range of 0.2 ms to 200 ms, and a duty cycle of no more than 10%.Un aparato para tratar una córnea (20) de un ojo, teniendo la córnea un epitelio, una parte interna (42) y una parte externa (44) dispuesta radialmente hacia fuera de la parte interna (42), comprendiendo el aparato un aplicador (110), en el que: el aplicador (110) está conformado para contactar al menos con la parte externa (44) de la córnea (20); el aplicador (110) está configurado para insensibilizar o cortar los nervios (30) de la parte externa (44) de la córnea (20) para enervar los nervios (30) de la parte externa (44) de la córnea (20) que se extienden al interior de la parte interna (42) de la córnea (20) e i