The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for
the description of the asymptotic behaviour of variational problems. Its applications range …

Publisher Summary This chapter discusses the main properties of Γ-convergence, in
particular those that are useful in the actual computation of Γ-limits. For some classes of …

The calculus of variations has its roots in the first problems of optimality studied in classical
antiquity by Archimedes (ca. 287–212 BC in Syracuse, Magna Graecia) and Zenodorus (ca …

We study the interaction of a singularly-perturbed multiwell energy (with an anisotropic
nonlocal regularizing term of H 1/2 type) and a pinning condition. This functional arises in a …

We study Γ-convergence of graph-based Ginzburg–Landau functionals, both the limit for
zero diffusive interface parameter ε→ 0 and the limit for infinite nodes in the graph m→∞ …

The singularly perturbed two‐well problem in the theory of solid‐solid phase transitions
takes the form I_ ε u= ∫\limits^ _ Ω 1 ε W (∇ u)+ ε| ∇^ 2 u|^ 2, where u: Ω⊂ ℝn→ ℝn is the …

In this paper we prove Gamma-convergence of a nonlocal perimeter of Minkowski type to a
local anisotropic perimeter. The nonlocal model describes the regularizing effect of …

We study a two-dimensional model for micromagnetics, which consists in an energy
functional over S2-valued vector fields. Bounded-energy configurations tend to be planar …

We prove a small excess regularity theorem for almost minimizers of a quasi-convex
variational integral of subquadratic growth. The proof is direct, and it yields an optimal …

In this work we discuss, from a variational viewpoint, the equilibrium problem for a finite
number of Volterra dislocations in a plane domain. For a given set of singularities at fixed …