Cholewa, Jan W.Rodríguez Bernal, Aníbal2023-06-192023-06-1920140862-7959https://hdl.handle.net/20.500.14352/34877We consider the Cahn-Hilliard equation in H1(RN ) with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as |u| → ∞ and logistic type nonlinearities. In both situations we prove the H2(RN )-bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J.W. Cholewa, A. Rodriguez-Bernal (2012)engjournal articlehttp://dml.cz/bitstream/handle/10338.dmlcz/143854/MathBohem_139-2014-2_13.pdfhttp://mb.math.cas.cz/open access517.9Initial value problem for higher order parabolic equationsasymptotic behavior of solutionscritical exponentEcuaciones diferenciales1202.07 Ecuaciones en Diferencias