14 citations · 42 across the 14 of their papers we have counts for
16 papers
Dimension reduction of fractional Sobolev seminorms on thin domains
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the asymptotic behaviour of Gagliardo seminorms in defined on thin films $Ω_\e=ω\times(0,\e)$. The first relevant order is $\e^{1-2s}$, at which the corresponding li…
Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the behaviour of fractional Sobolev spaces with defined on ``thin films'' in , and…
A Bourgain-Brezis-Mironescu result for fractional thin films
Andrea Braides, Margherita Solci
We consider the limit of squared -Gagliardo seminorms on thin domains of the form in . When is fixed, multipl…
Higher-order non-local gradient theory of phase-transitions
Margherita Solci
We study the asymptotic behaviour of double-well energies perturbed by a higher-order fractional term, which, in the one-dimensional case, take the form $$ \frac{1}{\varepsilon}\in…
Higher-order singular perturbation models for phase transitions
Giuseppe Cosma Brusca, Davide Donati, Margherita Solci
Variational models of phase transitions take into account double-well energies singularly perturbed by gradient terms, such as the Cahn-Hilliard free energy. The derivation by -…
Local interpolation techniques for higher-order singular perturbations of non-convex functionals: free-discontinuity problems
Margherita Solci
We develop a general approach, using local interpolation inequalities, to non-convex integral functionals depending on the gradient with a singular perturbation by derivatives of o…