R. Alicandro, A. Braides, M. S. Gelli:
Free-discontinuity problems generated by singular perturbation
The Royal Soc. of Edinburgh Vol. 128A, p. 1115-1129, 1998
R. Alicandro, A. Braides, J. Shah:
Free-discontinuity problems via functionals involving the $L^1$-norm of the gradient and their approximations.
Interfaces Free Bound. Vol. 1, p. 17-37, 1999
R. Alicandro, M. S. Gelli:
Free-discontinuity problems generated by singular perturbation: the N-dimensional case
The Royal Soc.of Edinburgh Vol. 130A, p. 449-469, 2000
R. Alicandro, M. Focardi, M. S. Gelli:
Finite-Difference Approximation of Energies in Fracture Mechanics
Ann. Scuola Norm. Sup. Pisa Cl. Sci. Vol. 4, N. 29, p. 671-709, 2001
R. Alicandro, C. Leone:
3D-2D Asymptotic Analysis for Micromagnetic Thin Films
COCV Vol. 6, p. 489-498, 2001
R. Alicandro, M. Focardi:
Variational Approximation of Free-Discontinuity Energies with Linear Growth
Comm. Cont. Math. Vol. 4, N. 4, p. 685-723, 2002
R. Alicandro, M. Cicalese:
A General Integral Representation Result for Continuum Limits of Discrete Energies with superlinear growth
SIAM J. Math. Anal. Vol. 36, N. 1, p. 1-37, 2004
R. Alicandro, A. Braides, M. Cicalese:
$L^\infty$ energies on discontinuous functions
Discrete and Continuous Dynamical Systems Vol. 12, p. 905-928, 2005
R. Alicandro, A. Braides, M. Cicalese:
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
Networks and Heterogeneous Media Vol. 1, p. 85-107, 2006
R. Alicandro, A. Corbo Esposito, C. Leone:
Relaxation in BV of integral functionals defined on Sobolev functions with values in the unit sphere
J. Convex Anal. Vol. 14, N. 1, p. 69-98, 2007
R. Alicandro, M. Cicalese, A. Gloria:
Mathematical derivation of a rubber-like stored energy functional
C. R. Acad. Sci. Paris, Sér. I Vol. 345, p. 479-482, 2007
R. Alicandro, A. Braides, M. Cicalese:
Continuum limits of discrete thin films with superlinear growth densities
Calc. Var. Partial Diff. Eq. Vol. 33, p. 267-297, 2008
R. Alicandro, M. Cicalese, A. Gloria:
Integral representation of the bulk limit of a general class of energies for bounded and unbounded spin systems
Nonlinearity Vol. 21, N. 8, p. 1881-1910, 2008
R. Alicandro, M. Cicalese:
Variational analysis of the asymptotics of the $XY$ model
Archive Rational Mech. Anal. Vol. 192, N. 3, p. 501-536, 2009
R. Alicandro, M. Cicalese, A. Gloria:
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity
Archive Rational Mech. Anal. Vol. 20, N. 3, p. 881-943, 2011
R. Alicandro, M. Cicalese, M. Ponsiglione:
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies
Indiana Univ. Math. J. Vol. 60, N. 1, p. 171-208, 2011
R. Alicandro, M. Cicalese, L. Sigalotti:
Phase transition in presence of surfactants: from discrete to continuum
Interfaces and Free Boundaries Vol. 14, N. 1, p. 65-103, 2012
R. Alicandro, M. Ponsiglione:
Ginzburg-Landau functionals and renormalized energy: A revised $\Gamma$-convergence approach
J. Funct. Anal. Vol. 266, p. 4890-4907, 2014
R. Alicandro, N. Ansini:
A variational model of interaction between continuum and discrete systems
Math. Mod. Meth. Appl. Sci. (M3AS) Vol. 24, p. 1957-2008, 2014
R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach
Archive Rational Mech. Anal. Vol. 214, p. 269-330, 2014
R. Alicandro, M. Cicalese, M. Ruf:
Domain formation in magnetic polymer composites: an approach via stochastic homogenization
Arch. Ration. Mech. Anal. Vol. 218, N. 2, p. 945984, 2015
R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Dynamics of discrete screw dislocations on glide directions
J. Mech. Phys. Solids Vol. 92, p. 87-104, 2016
R. Alicandro, M. S. Gelli:
Local and non local continuum limits of Ising type energies for spin systems
SIAM J. Math. Anal. Vol. 48, N. 2, p. 895-931, 2016
R. Alicandro, G. Lazzaroni, M. Palombaro:
On the effect of interactions beyond nearest neighbours on non-convex lattice systems
Calc. Var. Partial Differential Equations Vol. 56:42, 2017
R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Minimising movements for the motion of discrete screw dislocations along glide directions
Calc. Var. Partial Differential Equations Vol. 56:148, 2017
R. Alicandro, G. Lazzaroni, M. Palombaro:
Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours
Netw. Heterog. Media Vol. 13, p. 1-26, 2018
R. Alicandro, G. Dal Maso, G. Lazzaroni, M. Palombaro:
Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals
Arch. Ration. Mech. Anal. Vol. 230, p. 1-45, 2018
R. Alicandro, G. Lazzaroni, M. Palombaro:
Derivation of linear elasticity for a general class of atomistic energies
SIAM J. Math. Anal. Vol. 53, N. 5, p. 5060-5093, 2021
R. Alicandro, A. Braides, M. Cicalese, L. De Luca, A. Piatnitski:
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Arch. Ration. Mech. Anal. Vol. 243, p. 559-609, 2022
R. Alicandro, L. De Luca, M. Palombaro, M. Ponsiglione:
$\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
(Preprint) 2023
R. Alicandro, A. Braides, M. Solci, G. Stefani:
Topological singularities arising from fractional-gradient energies
(Submitted Paper) 2023
R. Alicandro, L. De Luca, G. Lazzaroni, M. Palombaro, M. Ponsiglione:
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
J. Nonlinear Sci. Vol. 33, N. 2, 2023
R. Alicandro, M. Cicalese, L. De Luca:
Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy
Nonlinear Analysis Vol. 231, 2023
R. Alicandro, N. Ansini, A. Braides, A. Piatnitski, A. Tribuzio:
A Variational Theory of Convolution-type Functionals
SpringerBriefs on PDEs and Data Science (Book) p. 121, 2023
R. Alicandro, A. Braides, M. Cicalese, M. Solci:
Discrete Variational Problems with Interfaces
Cambridge University Press (Book) 2023