RT Journal Article
T1 A Note on the Cahn-Hilliard Equation in H1 (R N ) Involving Critical Exponent
A1 Cholewa, Jan W.
A1 Rodríguez Bernal, Aníbal
AB 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)
PB Institute of Mathematics, Academy of Sciences of the Czech Republic
SN 0862-7959
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/34877
UL https://hdl.handle.net/20.500.14352/34877
LA eng
NO Ministerio de Economia y Competitividad, Spain
DS Docta Complutense
RD 9 may 2025