Calculus of Variations and Geometric Measure Theory

M. Focardi

Vector-valued obstacle problems for non-local energies

created by focardi on 19 Dec 2011
modified on 06 Nov 2012

[BibTeX]

Published Paper

Inserted: 19 dec 2011
Last Updated: 6 nov 2012

Journal: Discr. Contin. Dyn. Syst. B
Volume: 17
Pages: 487-507
Year: 2012

Abstract:

We investigate the asymptotics of obstacle problems for non-local energies in a vector-valued setting. Motivations arise, in particular, in phase field models for ferroelectric materials and variational theories for dislocations.