Montenegro, MarcosSouza, Gil Fidelix de2015-03-102015-03-102013MONTENEGRO, M.; SOUZA, G. F. de. Factorization into k-bubbles for Palais–Smale maps to potential type energy functionals. Journal of Mathematical Analysis and Applications, v. 408, p. 829-842, 2013. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X13002564>. Acesso em: 06 mar. 2015.0022-247Xhttp://www.repositorio.ufop.br/handle/123456789/4577We prove a decomposition into generalized bubbles for Palais–Smale sequences associated with potential energy functionals for vector-valued function spaces. The study is motivated by the compactness question for solutions of critical potential systems, for which the existence problem was recently addressed.Wealso present some examples of the existence of radial generalized bubbles.en-USCritical Sobolev exponentsPotential systemsBubblesCompactnessArtigo publicado em periodicoO periódico Journal of Mathematical Analysis and Applications concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3582561168393.https://doi.org/10.1016/j.jmaa.2013.03.052