Full Professor, Dip. Mat. Univ. Roma ``La Sapienza''

Email: ponsigli AT mat.uniroma1.it

Available papers (55):

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• M. Cicalese - T. Heilmann - A. Kubin - F. Onoue - M. Ponsiglione (Preprint)
  A notion of $s$-fractional mass for $1$-currents in higher codimension (2024)
• R. Alicandro - L. De Luca - M. Palombaro - M. Ponsiglione (Preprint)
  $\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions (2023)
• L. De Luca - M. Morini - M. Ponsiglione - E. Spadaro (Preprint)
  Parabolic $\alpha$-Riesz flows and limit cases $\alpha\to 0^+$, $\alpha\to d^-$ (2023)
• V. Crismale - A. Kubin - A. Ninno - M. Ponsiglione (Nonlinear Analysis)
  Failure of crystallization for generalized Lennard-Jones potentials and coarse graining to a rotating stars problem in one dimension (2023)
• V. Crismale - L. De Luca - A. Kubin - A. Ninno - M. Ponsiglione (J. Funct. Anal.)
  The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$ (2023)
• R. Alicandro - L. De Luca - G. Lazzaroni - M. Palombaro - M. Ponsiglione (J. Nonlinear Sci.)
  Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice (2023)
• L. De Luca - A. Ninno - M. Ponsiglione (J. Math. Biol.)
  Vectorial crystallization problems and collective behavior (2022)
• L. De Luca - A. Kubin - M. Ponsiglione (Nonlinear Anal.)
  The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows (2022)
• L. De Luca - M. Ponsiglione - E. Spadaro (Preprint)
  Two slope functions minimizing fractional seminorms and applications to misfit dislocations (2022)
• V. Julin - M. Morini - M. Ponsiglione - E. Spadaro (Preprint)
  The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions (2021)
• A. Cesaroni - L. De Luca - M. Novaga - M. Ponsiglione (Comm. Partial Differential Equations)
  Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows (2021)
• A. Kubin - M. Ponsiglione (Nonlinearity)
  Attractive Riesz potentials acting on hard spheres (2021)
• L. De Luca - M. Novaga - M. Ponsiglione (Ann. Scuola Normale Sup. Pisa)
  The $0$-fractional perimeter between fractional perimeters and Riesz potentials (2021)
• M. Morini - M. Ponsiglione - E. Spadaro (Preprint)
  Long time behaviour of discrete volume preserving mean curvature flows (2020)
• L. De Luca - M. Ponsiglione (Comm. Contemp. Math.)
  Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles (2020)
• S. Fanzon - M. Ponsiglione - R. Scala (Calculus of Variations and Partial Differential Equations)
  Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces (2020)
• A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (Anal. PDE)
  Generalized crystalline evolutions as limits of flows with smooth anisotropies (2019)
• A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (J. Amer. Math. Soc.)
  Existence and uniqueness for anisotropic and crystalline mean curvature flows (2019)
• L. De Luca - M. Novaga - M. Ponsiglione (J. Nonlinear Sci.)
  $\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter (2019)
• S. Fanzon - M. Palombaro - M. Ponsiglione (SIAM Journal on Mathematical Analysis)
  Derivation of Linearised Polycrystals from a Two-Dimensional System of Edge Dislocations (2019)
• R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (Commun. Math. Phys.)
  $\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2018)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (Calc. Var. Partial Differential Equations)
  Minimising movements for the motion of discrete screw dislocations along glide directions (2017)
• S. Fanzon - M. Palombaro - M. Ponsiglione (Journal of Nonlinear Science)
  A variational model for dislocations at semi-coherent interfaces (2017)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (J. Mech. Phys. Solids)
  Dynamics of discrete screw dislocations on glide directions (2016)
• M. Cicalese - L. De Luca - M. Novaga - M. Ponsiglione (SIAM J. Math. Anal.)
  Ground States of a two phase model with cross and self attractive interactions (2016)
• A. Chambolle - M. Morini - M. Ponsiglione (Published online: Communications on Pure and Applied Mathematics)
  Existence and uniqueness for a crystalline mean curvature flow (2016)
• A. Chambolle - M. Morini - M. Ponsiglione (Arch. Ration. Mech. Anal.)
  Nonlocal curvature flows (2015)
• R. Alicandro - M. Ponsiglione (J. Funct. Anal.)
  Ginzburg-Landau functionals and renormalized energy: A revised $\Gamma$-convergence approach (2014)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (Archive Rational Mech. Anal.)
  Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach (2014)
• A. Chambolle - M. Morini - M. Ponsiglione (Preprint)
  A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation (2012)
• L. De Luca - A. Garroni - M. Ponsiglione (ARMA)
  $\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime (2012)
• V. Nesi - M. Palombaro - M. Ponsiglione (Preprint)
  Gradient integrability and rigidity results for two-phase conductivities in dimension two (2011)
• R. Alicandro - M. Cicalese - M. Ponsiglione (Indiana Univ. Math. J.)
  Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies (2011)
• F. Maggi - M. Ponsiglione - A. Pratelli (Trans. AMS)
  Quantitative stability in the isodiametric inequality via the isoperimetric inequality (2011)
• A. Pisante - M. Ponsiglione (Preprint)
  Phase transitions and minimal hypersurfaces in hyperbolic space (2010)
• M. Barchiesi - S. H. Kang - T. M. Le - M. Morini - M. Ponsiglione (Multiscale Model. Simul.)
  A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries (2010)
• L. Bertini - M. Ponsiglione (Submitted Paper)
  A variational approach to the stationary solutions of Burgers equation (2010)
• A. Garroni - G. Leoni - M. Ponsiglione (J. Eur. Math. Soc.)
  Gradient theory for plasticity via homogenization of discrete dislocations (2010)
• M. Focardi - M. S. Gelli - M. Ponsiglione (Math. Models Methods Appl. Sci. )
  Fracture mechanics in perforated domains: a variational model for brittle porous media (2009)
• G. Dal Maso - A. Giacomini - M. Ponsiglione (Boll. Un. Mat. Ital. (9))
  A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions (2009)
• A. Chambolle - A. Giacomini - M. Ponsiglione (Arch. Ration. Mech. Anal.)
  Crack initiation in brittle materials (2008)
• A. Giacomini - M. Ponsiglione (Proc. Roy. Soc. Edinburgh Sect. A)
  Non interpenetration of matter for $SBV$-deformations of hyperelastic brittle materials (2008)
• M. Ponsiglione (Accepted Paper: SIAM J. Math. Anal.)
  Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous (2007)
• A. Chambolle - A. Giacomini - M. Ponsiglione (J. Funct. Anal.)
  Piecewise rigidity (2007)
• A. Garroni - M. Ponsiglione - F. Prinari (Calc. Var.)
  From $1$-homogeneous supremal functionals to difference quotients: relaxation and Gamma-convergence (2006)
• A. Davini - M. Ponsiglione (J. Analyse Math.)
  Homogenization of two--phase metrics and applications (2006)
• F. Acanfora - M. Ponsiglione (Ann. Mat. Pura Appl.)
  Quasi-static growth of brittle craks in a linearly elastic flexural plate (2006)
• A. Giacomini - M. Ponsiglione (Math. Models. and Methods Appl. Sci)
  Discontinuous finite element approximation of quasistatic crack growth in finite elasticity (2006)
• A. Giacomini - M. Ponsiglione (Arch. Ration. Mech. Anal)
  A Gamma-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications (2006)
• F. Ebobisse - M. Ponsiglione (J. Convex Anal.)
  A duality approach for variational problems in domains with cracks (2004)
• M. Palombaro - M. Ponsiglione (Asymptot. Anal.)
  The three divergence free matrix fields problem (2004)
• A. Giacomini - M. Ponsiglione (Numer. Funct. Anal. Optim)
  A discontinuous finite element approximation of quasi-static growth of brittle fractures (2003)
• G. Dal Maso - F. Ebobisse - M. Ponsiglione (J. Math. Pures Appl.)
  A stability result for nonlinear Neumann problems under boundary variations (2003)
• F. Ebobisse - M. Ponsiglione (Proc. Roy. Soc. Edinburgh A)
  Stability of some unilateral free-discontinuity problems in two-dimensional domains (2003)
• A. Garroni - V. Nesi - M. Ponsiglione (Proc. R. Soc. Lond. A)
  Dielectric breakdown: optimal bounds (2001)

Seminars:

• 7 sep 2021: Stability results for nonlocal geometric evolutions
• 27 feb 2019: Existence and uniqueness for crystalline mean curvature flows with general mobilities
• 16 nov 2016: A variational model for chiral liquid crystals
• 28 oct 2015: A variational approach to nonlocal and crystalline curvature flows

Speaker:

• 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
• 20 feb 2023 - 24 feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science
• 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
• 6 sep 2021 - 10 sep 2021: Variational methods and applications
• 28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani
• 16 sep 2019 - 19 sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations
• 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
• 15 mar 2018 - 15 mar 2018: Recent advances in the Calculus of Variations and PDEs
• 5 mar 2018 - 8 mar 2018: Workshop on Geometric Evolution Equations
• 13 feb 2017 - 16 feb 2017: Miniworkshop on dislocations, plasticity, and fracture
• 14 dec 2015 - 18 dec 2015: Trilateral Meeting on Nonlinear Partial Differential Equations and Applications
• 31 mar 2014 - 4 apr 2014: International Workshop: From Atomistic to Continuum Models in Materials Science
• 1 oct 2012 - 4 oct 2012: Topics in Calculus of Variations and Applications

Organizer:

• 20 jan 2025 - 7 feb 2025: Calculus of Variations and PDE's in Geometric Analysis
• 4 sep 2012 - 7 sep 2012: Meeting on Applied Mathematics and Calculus of Variations