Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation
Department of Mathematics, Jilin University, Changchun, 130012, China
Boundary Value Problems 2013, 2013:73 doi:10.1186/1687-2770-2013-73Published: 4 April 2013
We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions.
MSC: 35B10, 35K55, 35K65.