10 citations · 35 across the 14 of their papers we have counts for
15 papers
Klein-Gordon-Born-Infeld equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
In this paper we study a class of Klein-Gordon-Born-Infeld systems in which the classical Laplacian appearing in the matter equation is replaced by a mixed local-nonlocal operator,…
-convergence and -convergence in the Riesz fractional setting: the nonlinear case
Giuseppe C. Brusca, Maicol Caponi, Alessandro Carbotti +2
This paper concerns the -convergence of nonlinear nonlocal monotone operators defined through the Riesz fractional gradient and divergence. We show that the -convergence in t…
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 horiz…
A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage
Maicol Caponi, Vito Crismale
We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity.…
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
Maicol Caponi, Alessandro Carbotti, Francesco Sapio
In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given i…
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schröding…
Geometric rigidity on Sobolev spaces with variable exponent and applications
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argume…
Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allo…
An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains
Maicol Caponi, Francesco Sapio
We prove an existence result for the fractional Kelvin-Voigt's model involving Caputo's derivative on time-dependent cracked domains. We first show the existence of a solution to a…
Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation
Maicol Caponi
We propose a phase-field model of dynamic fracture based on the Ambrosio--Tortorelli's approximation, which takes into account dissipative effects due to the speed of the crack tip…
Energy-dissipation balance of a smooth moving crack
Maicol Caponi, Ilaria Lucardesi, Emanuele Tasso
In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover…
A dynamic model for viscoelastic materials with prescribed growing cracks
Maicol Caponi, Francesco Sapio
In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time--dependent cracked domains, with possibly degenerate viscosity coefficients. U…