The invention relates to a cosmetic process for caring for or making up keratin materials, comprising the sequential application to the keratin materials: of a cosmetic composition comprising a maleic anhydride acrylic polymer obtained by polymerization of: (a) 50% to 90% by weight, relative to the total weight of monomers, of isobornyl (meth)acrylate (b) 1% to 50% by weight of maleic anhydride (c) 0% to 49% by weight of additional (meth)acrylate monomer； and of a polyamine compound bearing several primary amine and/or secondary amine groups. The process makes it possible to obtain a film-forming deposit that has good resistance to water, to oil and to sebum. The film is also non-tacky and transfer-resistant.
