Nature of antiferromagnetic order in epitaxially strained multiferroicSrMnO3thin films

A Model for Dislocations in Epitaxially Strained Elastic Films

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

A Model for Dislocations in Epitaxially Strained Elastic Films

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

Regularity Properties of Equilibrium Configurations of Epitaxially Strained Elastic Films

We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.

Equilibrium Configurations of Epitaxially Strained Elastic Films: Second Order Minimality Conditions and Qualitative Properties of Solutions

We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a thick flat substrate when a lattice mismatch between the two materials is present. We study quantitative and qualitative properties of equilibrium configurations; i.e., of local and global minimizers of the free-energy functional. More precisely, we determine analytic...

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films