Γ-convergence for beginners

The object of -convergence is the description of the asymptotic behaviour of families of minimum problems, usually depending on some parameters whose nature may be geometric or constitutive, deriving from a discretization argument, an approximation procedure, etc. Since its introduction by De Giorgi in the early 1970s -convergence has gained an undiscussed role as the most \nexible and natural notion of convergence for variational problems, and is now been widely used also outside the eld of the Calculus of Variations and of Partial Dierential Equations. Its \nexibility is due to its being linked to no a priori ansatz on the form of minimizers, which is in a sense automatically described by a process of…