It can be due to irritant contact dermatitis or chemical burn. Avoid using any lotions and creams over the face for the meantime. Wash his face with a mild cleanser with moisturizing properties like Cetaphil. Pat your face dry. Then apply a good hypoallergenic moisturizer over the area and see if this improves. If the symptoms still persist then you can apply mild steroid like dermacort.
If the irritation persists then please get it evaluated from a dermatologist as topical antibiotics may be needed.
I hope it helps. Take care and regards.