Publications of the Group, since 2013

Submitted and in press

  • G. Lazzaroni, U. Stefanelli
    Chain-like minimizers in three dimensions
    Submitted, 2017

  • G. Akagi, S. Melchionna
    Elliptic-regularization of nonpotential perturbations of doubly-nonlinear gradient flows of nonconvex energies: A variational approach
    Submitted, 2017. (pdf)

  • S. Melchionna
    A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations
    Submitted, 2016, arXiv:1611.01997. (pdf)

  • S. Melchionna, E. Rocca
    Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth
    Submitted, 2016, arXiv:1610.04478. (pdf)

  • G. Akagi, U. Stefanelli
    Nondecreasing solutions to doubly-nonlinear equations
    Submitted, 2017

  • E. Davoli, I. Fonseca
    Relaxation of p-growth integral functionals under space-dependent differential constraints
    Submitted, 2017.

  • E. Davoli, P. Liu
    Optimal parameters and regularizers for image reconstruction problems – One dimensional setting
    Submitted, 2016.

  • M. Friedrich, F. Solombrino
    Quasistatic crack growth in 2d-linearized elasticity.
    Ann. Inst. H. Poincarè Anal. Non Linrèaire, 2017, to appear. (pdf)

  • M. Friedrich
    A piecewise Korn inequality in SBD and applications to embedding and density results
    Submitted, 2016.

  • E. Davoli, U. Stefanelli
    Dynamic perfect plasticity as convex minimization
    Submitted, 2016

  • M. Friedrich
    On a decomposition of regular domains into John domains with uniform constants.
    ESAIM Control Optim. Calc. Var., in press. (pdf)

  • M. Friedrich
    A derivation of linearized Griffith energies from nonlinear models.
    Arch. Ration. Mech. Anal., in press. (pdf)

  • G. Akagi, S. Melchionna, U. Stefanelli
    Weighted Energy-Dissipation approach to doubly-nonlinear problems on the half line
    J. Evol. Equ., 2017, to appear

  • E. Mainini, H. Murakawa, P. Piovano, U. Stefanelli
    Carbon-nanotube geometries as optimal configurations
    Submitted, 2016

  • D. Grandi, U. Stefanelli
    Existence and linearization for the Souza-Auricchio model at finite strains.
    Submitted, 2016

  • U. Stefanelli, D. Wachsmuth, G. Wachsmuth
    Optimal control of a rate-independent evolution equation via viscous regularization
    Submitted, 2016

  • M. Friedrich
    A Korn-type inequality in SBD for functions with small jump sets
    Preprint 2015. (pdf)

  • U. Stefanelli
    Stable carbon configurations
    Boll. Unione Mat. Ital (9), to appear, 2016, (pdf)


  • D. Grandi, U. Stefanelli
    Finite plasticity in $P^T P$. Part II: quasistatic evolution and linearization
    SIAM J. Math. Anal. 49 (2017), 1356--1384. (pdf)

  • E. Davoli, M.G. Mora
    Stress regularity for a new quasistatic evolution model of perfectly plastic plates
    Calc. Var. Partial Differential Equations 54 (2015), 2581-2614. (pdf)

  • E. Davoli, P. Piovano, U. Stefanelli
    Sharp $n^{3/4}$ law for the minimizers of the edge-isoperimetric problem in the triangular lattice
    J. Nonlin. Sci. 27(2) (2017), 627-660. (pdf)

  • D. Grandi, U. Stefanelli
    Finite plasticity in $P^T P$. Part I: constitutive model
    Contin. Mech. Thermodyn. 29 (2017), 97-116. (pdf)

  • E. Mainini, H. Murakawa, P. Piovano, U. Stefanelli
    Carbon-nanotube geometries: analytical and numerical results
    Discr. Cont. Dyn. Syst. Ser. S, 10 (2017), 141--160. (pdf)


  • S. Melchionna
    A variational principle for nonpotential perturbations of gradient flows of nonconvex energies
    J. Differential Equations 262 (2016), 3737-3758. (pdf)

  • E. Davoli, I. Fonseca
    Periodic homogenization of integral energies under space-dependent differential constraints
    Portugaliae Math. 73 (2016), 279-317. (pdf)

  • E. Davoli, I. Fonseca
    Homogenization of integral energies under periodically oscillating differential constraints
    Calc. Var. Partial Differential Equations 55 (2016), 1-60. (pdf)

  • M. Friedrich, P. Piovano, U. Stefanelli
    The geometry of $C_{60}$: a rigorous approach via Molecular Mechanics
    SIAM J. Appl. Math. 76 (2016), 2009--2029. (pdf)

  • E. Davoli, P. Piovano, U. Stefanelli
    Wulff shape emergence in graphene
    Math. Models Methods Appl. Sci. 26 (2016), 2277-2310. (pdf)

  • G. Akagi, U. Stefanelli
    A variational principle for gradient flows of nonconvex energies
    J. Convex Anal. 23 (2016), 53-75. (pdf)

  • F. Auricchio, E. Boatti, A. Reali, U. Stefanelli
    Gradient structures for the thermomechanics of shape-memory materials
    Comput. Methods Appl. Mech. Engrg. 299 (2016), 440--469. (pdf)


  • M. Kruzík, U. Stefanelli, C. Zanini
    Quasistatic evolution of magnetoelastic thin films via dimension reduction
    Discrete Contin. Dyn. Syst., 35 (2015) 12:5999-6013. (pdf)

  • D. Grandi, U. Stefanelli
    The Souza-Auricchio model for shape-memory alloys
    Discrete Contin. Dyn. Syst. Ser. S, 8 (2015), 4:727-743 (pdf)

  • F. Auricchio, A.-L. Bessoud, A. Reali, U. Stefanelli
    A phenomenological model for the magneto-mechanical response of single-crystal Magnetic Shape Memory Alloys. Eur. J. Mech. A Solids, 52 (2015), 1-11. (pdf)

  • M. Kruzík, U. Stefanelli, J. Zeman
    Existence results for incompressible magnetoelasticity
    Discrete Contin. Dyn. Syst., 8 (2015), 4:727-743. (pdf)


  • S. Melchionna, E. Rocca
    On a nonlocal Cahn-Hilliard equation with a reaction term
    Adv. Math. Sci. Appl., 24 (2014), 461-497 (pdf)

  • C. Giorgi, D. Grandi, V. Pata
    On the Green-Naghdi Type III heat conduction model
    Discr. Cont. Dyn. Syst. - Ser. B,19 (2014) 2133-2143. (pdf)

  • P. Piovano
    Evolution of Elastic Thin Films with Curvature Regularization via Minimizing Movements
    Calc. Var. Partial Differential Equations, 49 (2014), 337-367 (pdf)

  • T. Roubicek, U. Stefanelli
    Magnetic shape-memory alloys: thermomechanical modeling and analysis
    Contin. Mech. Thermodyn., 26 (2014), 6:783--810. (pdf)

  • D. Grandi, U. Stefanelli
    A phenomenological model for microstructure-dependent inelasticity in shape-memory alloys
    Meccanica, 49 (2014) 9:2265--2283 (pdf)

  • G. Akagi, U. Stefanelli
    Doubly nonlinear evolution equations as convex minimization
    SIAM J. Math. Anal., 46 (2014), 3:1922--1945 (pdf)

  • E. Mainini, U. Stefanelli
    Crystallization in carbon nanostructures
    Comm. Math. Phys., 328 (2014), 2:545-571 (pdf)

  • T. Roche, R. Rossi, U. Stefanelli
    Stability results for soubly nonlinear differential inclusions by variational convergence
    SIAM J. Control Optim., 52 (2014), 2:1071-1107 (pdf)

  • E. Mainini, P. Piovano, U. Stefanelli
    Finite crystallization in the square lattice
    Nonlinearity, 27 (2014) 717--737 (pdf)


  • G. Francfort, U. Stefanelli
    Quasi-static evolution for the Armstrong-Frederick hardening-plasticity model
    Appl. Math. Res. Express. AMRX, (2013) 2:297-344 (pdf)

  • M. Liero, U. Stefanelli
    Weighted Inertia-Dissipation-Energy functionals for semilinear equations
    Boll. Unione Mat. Ital. (9), 6 (2013), 1--27 (pdf)

  • M. Liero, U. Stefanelli
    A new minimum principle for Lagrangian mechanics
    J. Nonlinear Sci., 23 (2013), 179-204 (pdf)

  • D. Grandi
    A phase field approach to solidification and solute separation in water solutions
    Z. Angew. Math. Phys., 64 (2013), 1611-1624(pdf)

  • V. Berti, M. Fabrizio, D. Grandi
    A phase field model for brine channels in sea ice
    Physica B, 425 (2013), 100-104 (pdf)

  • A. Berti, V. Berti, D. Grandi
    A thermodynamic approach to isotropic-nematic phase transitions in liquid crystals
    Meccanica, 48 (2013), 983-991

  • D. Bucur, G. Buttazzo, U. Stefanelli
    Shape flows for shape optimization problems
    Interfaces Free Bound., 14 (2013), 521-544 (pdf)

  • A. Mielke, U. Stefanelli
    Linearized plasticity is the evolutionary Gamma-limit of finite plasticity
    J. Eur. Math. Soc. (JEMS), 15 (2013), 3:923-948 (pdf)

  • V. Berti, M. Fabrizio, D. Grandi
    A phase field model for liquid-vapour phase transition
    Discrete Cont. Dyn. Syst.-S, 6 (2013), 317-330

  • V. Berti, D. Grandi
    A non-isothermal phase-field model for the ferromagnetic phase transition
    Mathematical Methods in the Applied Sciences, 36 (2013), 1342-1349

  • M. Eleuteri, L. Lussardi, U. Stefanelli
    Thermal control of the Souza-Auricchio model for shape memory alloys
    Discrete Cont. Dyn. Syst.-S, 6 (2013), 2:369-386 (pdf)

  • A.-L. Bessoud, M. Kruzik, U. Stefanelli
    A macroscopic model for magnetic shape memory alloys
    Z.Angew. Math. Phys., 64 (2013), 343--359 (pdf)

  • G. Dal Maso, A. Mielke, U. Stefanelli (eds.)
    Rate-independent evolutions
    Discrete Contin. Dyn. Syst.-S, 6 (2013), number 1