Inserted: 14 aug 2014
Last Updated: 12 jan 2015
Journal: Arch. Rat. Mech. Anal.
We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient $a(\cdot)$. The model case is given by the functional
w \to \int (\
^q) \, dx\;, \] where $q>p$ and $a(\cdot)\geq 0$.