33 citations · 182 across the 46 of their papers we have counts for
7 papers · 1 filter
Compactness for a class of integral functionals with interacting local and non-local terms
Andrea Braides, Gianni Dal Maso
We prove a compactness result with respect to -convergence for a class of integral functionals which are expressed as a sum of a local and a non-local term. The main feature is…
A simplified counterexample to the integral representation of the relaxation of double integrals
Andrea Braides
We show that the lower-semicontinuous envelope of a non-convex double integral may not admit a representation as a double integral. By taking an integrand with value exce…
A note on the homogenization of incommensurate thin films
Irene Anello, Andrea Braides, Fabrizio Caragiulo
Dimension-reduction homogenization results for thin films have been obtained under hypotheses of periodicity or almost-periodicity of the energies in the directions of the mid-plan…
Beyond the classical Cauchy-Born rule
Andrea Braides, Andrea Causin, Margherita Solci +1
Physically motivated variational problems involving non-convex energies are often formulated in a discrete setting and contain boundary conditions. The long-range interactions in s…
Asymptotic behaviour of the capacity in two-dimensional heterogeneous media
Andrea Braides, Giuseppe Cosma Brusca
We describe the asymptotic behaviour of the minimal inhomogeneous two-capacity of small sets in the plane with respect to a fixed open set . This problem is governed by two smal…
Continuity of some non-local functionals with respect to a convergence of the underlying measures
Andrea Braides, Gianni Dal Maso
We study some non-local functionals on the Sobolev space involving a double integral on with respect to a measure . We introduce a suitable notion of c…