22 citations · 53 across the 19 of their papers we have counts for
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Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gaglia…
The Weighted Ambrosio - Tortorelli Approximation Scheme
Irene Fonseca, Pan Liu
The Ambrosio-Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it Γ-converges to a Mumford-Shah image segmentation functional depend…
Domain formation in membranes near the onset of instability
Irene Fonseca, Gurgen Hayrapetyan, Giovanni Leoni +1
The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a c…
A model for dislocations in epitaxially strained elastic films
Irene Fonseca, Nicola Fusco, Giovanni Leoni +1
A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are…
Homogenization for A-quasiconvexity with variable coefficients
Elisa Davoli, Irene Fonseca
A homogenization result for a family of oscillating integral energies is presented, where the fields under consideration are subjected to first order linear differential constraint…
A second order minimality condition for a free-boundary problem
Irene Fonseca, Giovanni Leoni, Maria Giovanna Mora
The goal of this paper is to derive in the two-dimensional case necessary and sufficient minimality conditions in terms of the second variation for the functional \[ v\mapsto\int_Ω…