%0 Journal Article
%A Cholewa, Jan W.
%A Rodríguez Bernal, Aníbal
%T A Note on the Cahn-Hilliard Equation in H1 (R N ) Involving Critical Exponent
%D 2014
%@ 0862-7959
%U https://hdl.handle.net/20.500.14352/34877
%X We 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)
%~