Peeling paint on kitchen cabinets?

Did you lightly sand to remove any gloss and roughen for paint? Did you prime the cabinets before painting? All you can do is lightly sand, feather out peeling paint. prime and paint.

Make sure they are clean and dry. Remove the doors and hardware. Mark the doors and cabinets with tape where they go. Lightly sand the doors and cabinets to remove any gloss and roughen the surface for paint with 220 grit sandpaper or a green Scotch Brite pad.. Use a tack cloth or damp rag to remove dust after sanding. Prime with a stain blocking primer like Zinsser 123, KILZ,or BIN and have it tinted to the color of the top coat. This will prevent dark or stained surfaces from showing through the top coat. Acrylic, or water base paints are low-fume and clean up easily with water. Alkyd, or oil-base, paints require good ventilation because the paint contains solvents that can irritate your lungs and make you feel sick. Alkyd options require mineral spirits for cleanup, but they provide a hard, durable paint finish. Whichever you use, buy the best-quality paint you can afford for a lasting kitchen cabinet finish. Seal with at least three coats with a water based polyurethane. Use a small foam roller and foam brush for a smooth finish.

Did you degrease them, sand, prime with Zinseer B-I-N before painting? Strip the paint off, or sand off, and start over.

You must of painted over varnish you would have to sand them lightly then paint them

When it comes to painting, surface preparation is 90% of the job. 10% is paining.