Leme, Leandro Correia PaesRodrigues, Helder CândidoBueno, Hamilton Prado2023-02-062023-02-062021LEME, L. C. P.; RODRIGUES, H. C.; BUENO, H. P. On p-biharmonic equations with critical growth. Brazilian Journal of Development, v. 7, n. 7, p. 70324-70341, 2021. Disponível em: <https://brazilianjournals.com/ojs/index.php/BRJD/article/view/32813>. Acesso em: 06 jul. 2022.2525-8761http://www.repositorio.ufop.br/jspui/handle/123456789/16115We study p-biharmonic problems dealing with concave-convex nonlinearitiesin the critical case with both Navier and Dirichlet boundary conditions in a bounded, smooth domain and some f ε C(Ω), which is either a positive or a change-sign function. By applying Nehari’s minimization method, we prove the existence of two nontrivial solutions for the problems. If f is positive, both solutions of the problem with Navier boundary condition are positive.en-USabertop-biharmonic operatorNavier and Dirichlet boundary conditionsConcave-convex nonlinearitiesArtigo publicado em periodicoO periódico Brazilian Journal of Development permite o depósito das versões pré-print e pós-print de um artigo. Permite remixagem, adaptação e nova criação a partir da obra para fins não comerciais, desde que seja atribuído o crédito ao autor (CC BY-NC). Fonte: Diadorim <http://diadorim.ibict.br/handle/1/1253>. Acesso em: 19 maio 2022.https://doi.org/10.34117/bjdv7n7-284