The limit behavior of a family of variational multiscale problems
Margarida Baı́a, Irene Fonseca · Indiana University Mathematics Journal · 2007
Γ-convergence techniques combined with techniques of 2-scale convergence are used to give a characterization of the behavior as ε goes to zero of a family of integral functionals defined on L p (Ω; R d ) byunder periodicity (and nonconvexity) hypothesis, standard p-coercivity and p-growth conditions with p > 1. Uniform continuity with respect to the x variable, as it is customary in the existing literature, is not required.