1 citations · 1 across the 3 of their papers we have counts for
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Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory
Elisa Davoli, Leon Happ
In this paper we prove a strong two-scale approximation result for sphere-valued maps in , where is an open domain and $…
An existence result for accretive growth in elastic solids
Elisa Davoli, Katerina Nik, Ulisse Stefanelli +1
We investigate a model for the accretive growth of an elastic solid. The reference configuration of the body is accreted in its normal direction, with space- and deformation-depend…
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio
The present study concerns the nonlocal-to-local convergence of a family of exchange energy functionals in the limit of very short-range interactions. The analysis accounts for bot…
Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth
Elisa Davoli, Elisabetta Rocca, Luca Scarpa +1
In this paper we study nonlocal-to-local asymptotics for a tumor-growth model coupling a viscous Cahn-Hilliard equation describing the tumor proportion with a reaction-diffusion eq…
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
Marin Bužančić, Elisa Davoli, Igor Velčić
We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a microstructure resulting from the periodic alternation of two elastoplastic phases…
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
Elisa Davoli, Giovanni Di Fratta, Valerio Pagliari
Following the seminal paper by Bourgain, Brezis and Mironescu, we focus on the asymptotic behavior of some nonlocal functionals that, for each , are defined…