# Nonlocal character of the reduced theory of thin films with higher order perturbations

created by dalmaso on 09 Sep 2009
modified by leoni on 27 Jul 2011

[BibTeX]

Published Paper

Inserted: 9 sep 2009
Last Updated: 27 jul 2011

In this paper it is shown that, when there is lack of coercivity with respect to some partial derivatives on the underlying field $u$, then the relaxation of the functional% $u\mapsto\int_{\Omega}f\left( u,Du\right) \,dx$ may fail to be local. This result is applied to a singular perturbation model for a membrane energy depending on deformations and out-of-plane bending.