Peel the swollen edge of the painted particle wood back gently with a thin, flat tool like a putty knife. Do this at the edge of the panel closest to the swollen area.
Insert a contact cement remover or a lacquer thinner into a turkey baster or a syringe, then apply it to the melamine sheet so you can peel it back even more. Continue until you reach the area where the swelling is located.
Sand the swollen area to make it even with the surrounding particle wood when the contact cement remover or lacquer thinner dries.
Apply cyanoacrylate glue to the sanded area to flatten the loose wood fibers and hold them together. Let the glue dry overnight.
Smear contact cement all over the back of the melamine sheet and the surface of the particle wood. Press the two together in a rolling motion with a rolling pin or a towel. Let the contact cement dry thoroughly.