M. Cicalese, C. Trombetti:
Asymptotic behaviour of solutions to p-laplacian equation
Asymptotic Analysis Vol. 35, p. 27-40, 2003
M. Cicalese:
Multiscale analysis for nonlinear variational problems arising from discrete systems
(Ph.D. Thesis) 2004
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
B. Brandolini, M. Cicalese, C. Nitsch, C. Trombetti:
A sharp estimate of the extinction time for the mean-curvature flow
Appl. Math. Lett. Vol. 20, N. 5, p. 551-557, 2007
A. Braides, M. Cicalese:
Surface energies in nonconvex discrete systems
Math. Mod. Meth. Appl. Sci. (M3AS) Vol. 17, p. 985-1037, 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
M. Cicalese, A. DeSimone, C. I. Zeppieri:
Discrete-to-continuum limits for strain-alignment-coupled systems: magnetostrictive solids, ferroelectric crystals and nematic elastomers
Networks and Heterogeneous Media Vol. 4, N. 4, p. 667-708, 2009
M. Cicalese, Y. Nagase, G. Pisante:
The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions
Advances in Calculus of Variations Vol. 3, N. 3, p. 321-344, 2010
M. Cicalese, E. Spadaro, C. I. Zeppieri:
Asymptotic analysis of a second-order singular perturbation model for phase transitions
Calc. Var. Partial Differential Equations Vol. 41, N. 1-2, p. 127-150, 2011
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
M. Cicalese, G. P. Leonardi:
A Selection Principle for the Sharp Quantitative Isoperimetric Inequality
Arch. Rat. Mech. Anal. Vol. 206, N. 2, p. 617-643, 2012
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
M. Cicalese, E. Spadaro:
Droplet Minimizers of an Isoperimetric Problem with long-range interactions
Comm. Pure Appl. Math. Vol. 66, N. 28, p. 1298-1333, 2013
M. Cicalese, G. P. Leonardi:
Best constants for the isoperimetric inequality in quantitative form
J. Eur. Math. Soc. (JEMS) Vol. 15, N. 3, p. 1101-1129, 2013
M. Cicalese, F. Solombrino:
Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
Journal of Nonlinear Science Vol. 25, N. 2, p. 291-313, 2015
A. Braides, M. Cicalese, F. Solombrino:
Q-tensor continuum energies as limits of head-to-tail symmetric spins systems
SIAM J. Math. Anal. Vol. 47, N. 4, p. 2832-2867 , 2015
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
M. Cicalese, L. De Luca, M. Novaga, M. Ponsiglione:
Ground States of a two phase model with cross and self attractive interactions
SIAM J. Math. Anal. Vol. 48, N. 5, p. 3412-3443, 2016
M. Cicalese, M. Ruf, F. Solombrino:
Chirality transitions in frustrated $S^{2}$-valued spin systems
Mathematical Models and Methods in Applied Sciences Vol. 26, N. 08, p. 1481-1529, 2016
A. Braides, M. Cicalese, N. K. Yip:
Crystalline Motion of Interfaces Between Patterns
J. Stat. Phys. Vol. 165, N. 2, p. 274-319, 2016
M. Cicalese, G. P. Leonardi, F. Maggi:
Improved convergence theorems for bubble clusters. I. The planar case
Indiana U Math Journal Vol. 65, p. 1979-2050, 2016
A. Braides, M. Cicalese:
Interfaces, modulated phases and textures in lattice systems
Arch. Ration. Mech. Anal. Vol. 223, p. 977-1017, 2017
M. Cicalese, M. Ruf, F. Solombrino:
On global and local minimizers of prestrained thin elastic rods
Calc. Var Pdes Vol. 56, N. 4, p. 115, 2017
M. Cicalese, M. Ruf, F. Solombrino:
Hemihelical local minimizers in prestrained elastic bi-strips
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Vol. 68, N. 6, p. 122, 2017
M. Cicalese, G. P. Leonardi, F. Maggi:
Sharp stability inequalities for planar double bubbles
Interfaces and Free Boundaries Vol. 19, N. 3, p. 305350, 2017
M. Cicalese, M. Ruf:
Discrete spin systems on random lattices at the bulk scaling
Disc. Cont. Dyn. Sys.-S Vol. 10, N. 1, p. 101-117, 2017
M. Cicalese, N. Fusco:
A note on relaxation with constraints on the determinant
Esaim: COCV Vol. 25, N. 41, p. 1-15, 2017
A. Braides, M. Cicalese, M. Ruf:
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films
Analysis & PDE Vol. 11, N. 2, p. 499-553, 2018
R. Badal, M. Cicalese, L. De Luca, M. Ponsiglione:
$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects
Commun. Math. Phys. Vol. 358, N. 2, p. 705739, 2018
M. Cicalese, G. P. Leonardi:
Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities
Commun. Math. Phys. Vol. 375, p. 19311944, 2019
M. Cicalese, M. Forster, G. Orlando:
Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions
SIAM J. Math. Anal. Vol. 51, N. 2, p. 4848-4893, 2019
M. Cicalese, G. Orlando, M. Ruf:
Emergence of concentration effects in the variational analysis of the N-clock model
Comm. Pure Appl. Math. (Accepted Paper) 2019
A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: topological singularities
Indiana Univ. Mat. J. (Accepted Paper) 2020
A. Bach, A. Braides, M. Cicalese:
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions
SIAM J. Math. Anal. Vol. 52, p. 3600-2665, 2020
M. Cicalese, A. Gloria, M. Ruf:
From statistical polymer physics to nonlinear elasticity
Archive for Rational Mechanics and Analysis Vol. 236, p. 1127-1215, 2020
M. Cicalese, G. Orlando, M. Ruf:
The N-clock model: variational analysis for fast and slow divergence rates of N
Archive for Rational Mechanics and Analysis (Accepted Paper) 2020
M. Cicalese, M. Forster, G. Orlando:
Variational analysis of the $J_1$-$J_2$-$J_3$ model: a non-linear lattice version of the Aviles-Giga functional
Arch. Ration. Mech. anal. (Accepted Paper) 2021
M. Cicalese, M. Focardi, C. I. Zeppieri:
Phase-field approximation of functionals defined on piecewise-rigid maps
J. Nonlinear Sci. Vol. 31, N. 5, p. Paper No. 78, 25pp, 2021
A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
Calc. Var. Partial Diff. Equations Vol. 60, N. 4, p. Paper No. 149, 36pp., 2021
R. Alicandro, M. Cicalese, L. De Luca:
Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy
Nonlinear Analysis (Accepted Paper) 2021
M. Cicalese, G. Orlando, M. Ruf:
A classical $\mathbb{S}^2$ spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings
Nonlinear Analysis (Accepted Paper) 2021
M. Cicalese, G. Orlando, M. Ruf:
Coarse graining and large-$N$ behavior of the $d$-dimensional $N$-clock model
Interfaces and Free Boundaries Vol. 23, N. 3, p. 323-351, 2021
A. Bach, M. Cicalese, M. Ruf:
Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size
SIAM J. Math. Anal. Vol. 53, N. 2, p. 22752318, 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. Badal, M. Cicalese:
Renormalized energy between fractional vortices with topologically induced free discontinuities on $2$-dimensional Riemannian manifolds
(Preprint) 2022
M. Cicalese, L. Kreutz, G. P. Leonardi:
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
(Preprint) p. 41, 2022
R. Alicandro, A. Braides, M. Cicalese, M. Solci:
Discrete Variational Problems with Interfaces
(Book (Cambridge University Press)) 2022