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 . The model case is given by the functional w↦∫(|Dw|p+a(x)|Dw|q)dx, where q > p and a(⋅)≧0
Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia
Pablo Antolin Sanchez, Thibaut Hirschler