Submitted and in press

• 27
  P. Piovano

  I. Velčic

  Microscopical justification of solid-state wetting and dewetting

  Submitted, 2020 (preprint)
• 26
  S. Lakaev

  Sh. Kholmatov

  Sh. Khamidov

  Bose-Hubbard models with on-site and nearest-neighbor interactions: Exactly solvable case

  J. Phys. A: Math. Theor., in press (2021) (preprint)
• 25
  Sh. Kholmatov

  P. Piovano

  Existence of minimizers for the SDRI model

  Submitted, 2020 (preprint)
• 24
  A. Khalkhuzhaev

  Sh. Kholmatov

  M. Pardabaev

  Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian

  Submitted, 2020 (preprint)
• 23
  L. Kreutz

  A homogenization result for weak membrane energies

  Submitted, 2018 (preprint)

2021

• 22
  F. Almuratov

  Sh. Kholmatov

  S. Lakaev

  Bound states of discrete Schrödinger operators on one and two dimensional lattices

  J. Math. Anal. Appl., 503 (2021), 125280 (preprint)
• 21
  E. Davoli

  M. Kružík

  P. Piovano

  U. Stefanelli

  Magnetoelastic thin films at large strains (link)

  Continuum Mech. Thermodyn., 33 (2021), 327-341 (preprint)
• 20
  Sh. Kholmatov

  M. Pardabaev

  Asymptotics of eigenvalues of the zero-range perturbation of the discrete bilaplacian

  Lobachevskii J. Math. 42 (2021), 1285-1292 (preprint)
• 19
  L. Kreutz

  P. Piovano

  Microscopic validation of a variational model of epitaxially strained crystalline films

  SIAM J. Math. Anal., 53-1 (2021), 453-490, (preprint)

2020

• 18
  Sh. Kholmatov

  P. Piovano

  A unified model for stress-driven rearrangement instabilities (link)

  Arch. Ration. Mech. Anal., 238 (2020), 415-488 (preprint)
• 17
  G. Bellettini

  A. Chambolle

  Sh. Kholmatov

  Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (link)

  Proc. Roy. Soc. Edinburgh Sect. A (2020) (preprint)
• 16
  E. Davoli

  P. Piovano

  Derivation of a heteroepitaxial thin-film model (link)

  Interface Free Bound., 22-1 (2020), 1-26 (preprint)

2019

• 15
  E. Mainini

  P. Piovano

  B. Schmidt

  U. Stefanelli

  $N^{3/4}$ law in the cubic lattice (link)

  J. Stat. Phys., 176-6 (2019), 1480–1499, (preprint)
• 14
  M. Friedrich

  E. Mainini

  P. Piovano

  Atomistic potentials and the cauchy-born rule for carbon nanotubes: a review (link)

  Rendiconti Semin. Mat. Univ. Pol. Torino, 77-2 (2019), 79-98 (preprint)
• 13
  M. Friedrich

  L. Kreutz

  Crystallization in the hexagonal lattice for ionic dimers (link)

  Math. Models Methods Appl. Sci., 29-10 (2019), 1853--1900 (2019) (preprint)
• 12
  E. Davoli

  P. Piovano

  Analytical validation of the Young-Dupré law for epitaxially-strained thin films (link)

  Math. Models Methods Appl. Sci., 29-12 (2019), 2183-2223, (preprint)

2018

• 11
  M. Friedrich

  E. Mainini

  P. Piovano

  U. Stefanelli

  Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (link)

  Arch. Ration. Mech. Anal., 231-1 (2018), 465-517 (preprint)
• 10
  G. Bellettini

  Sh. Kholmatov

  Minimizing movements for mean curvature flow of partitions

  SIAM J. Math. Anal., 50-4 (2018), 4117--4148 (preprint)
• 9
  A. Braides

  L. Kreutz

  Design of lattice surface energies (link)

  Calc. Var. Partial Differential Equations, 57--97 (2018), 1485–1520 (preprint)
• 8
  Sh. Kholmatov

  Z. Muminov

  Existence of bound states of $N$-body problem in an optical lattice (link)

  J. Phys. A: Mat. Theor., 51-26 (2018) (preprint)
• 7
  A. Braides

  L. Kreutz

  An integral-representation result for continuum limits of discrete energies with multi-body interactions (link)

  SIAM J. Math. Anal., 50-2 (2018), 1485–1520 (preprint)
• 6
  G. Bellettini

  Sh. Kholmatov

  Minimizing movements for mean curvature flow of droplets with prescribed contact angle (link)

  J. Math. Pures Appl., 117 (2018), 1--58 (preprint)

2017

• 5
  A. Braides

  L. Kreutz

  Optimal design of mixtures of ferromagnetic interactions (link)

  Rend. Lincei-Mat. Appl., 8-1 (2017), 103--117 (preprint)
• 4
  G. Bellettini

  Sh. Kholmatov

  M. Novaga

  Minimizers of anisotropic perimeters with cylindrical norms (link)

  Comm. Pure Appl. Anal., 16 (2017), 1427--1454 (preprint)
• 3
  E. Mainini

  H. Murakawa

  P. Piovano

  U. Stefanelli

  Carbon-nanotube geometries as optimal configurations (link)

  Multiscale Model. Simul., 15-4 (2017), 1448--1471 (preprint)
• 2
  A. Braides

  L. Kreutz

  Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (link)

  Rendiconti Lincei-Matematica e Applicazioni, 28-1 (2017), 103--117 (preprint)
• 1
  E. Davoli

  P. Piovano

  U. Stefanelli

  Sharp $N^{3/4}$ law for the minimizers of the edge-isoperimetric problem in the triangular lattice (link)

  Journal of Nonlinear Science, 27-2 (2017), 627--660 (preprint)