From the 1 of 4 linked papers with an AI index.
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-convergence and -convergence in the Riesz fractional setting: the nonlinear case
Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2
The paper studies H‑convergence and Γ‑convergence for nonlinear nonlocal monotone operators defined via the Riesz fractional gradient, proving they are equivalent to the correspond…
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz -fractional gradient on piecewise constant functions. We consider a general class o…
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces
Maicol Caponi
This survey is a chapter of a forthcoming book. This chapter recalls the classical formulation of the Div-Curl lemma along with its proof, and presents some possible generalization…
-compactness for nonlocal linear operators in fractional divergence form
Maicol Caponi, Alessandro Carbotti, Alberto Maione
We study the -convergence of nonlocal linear operators in fractional divergence form, where the oscillations of the matrices are prescribed outside the reference domain. Our com…
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We derive a strain-gradient theory for plasticity as the -limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite hori…