Research Contract, Dipartimento di Matematica, Politecnico di Milano

Email: caroccia.marco AT gmail.com

Home-page: https://sites.google.com/view/marcocaroccia

arxiv id: caroccia_m_1

orcid id: 0000-0002-9200-8856

Available papers (15):

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• M. Caroccia - R. Scala (Accepted Paper: Calculus of Variation and PDEs)
  On the singular planar Plateau problem (2024)
• M. Caroccia (Nonlinear Analysis)
  A Compactness Theorem for functions on Poisson point clouds (2023)
• M. Caroccia - G. Saracco (J. Geom. Anal.)
  Isoperimetric sets and $p$-Cheeger sets are in bijection (2023)
• A. Braides - M. Caroccia (J. Nonlinear Sci.)
  Asymptotic behavior of the Dirichlet energy on Poisson point clouds (2023)
• M. Caroccia - S. Ciani (Accepted Paper: JMPA)
  Dimensional lower bounds for contact surfaces of Cheeger sets (2021)
• M. Caroccia - M. Focardi - N. Van Goethem (SIAM J. Math. Anal.)
  On the integral representation of variational functionals on $BD$ (2020)
• M. Caroccia - R. Cristoferi (Journal of Nonlinear Science)
  On the Gamma convergence of functionals defined over pairs of measures and energy-measures (2020)
• M. Caroccia - N. Van Goethem (Accepted Paper: ESAIM: M2AN)
  Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications (2019)
• M. Caroccia - A. Chambolle - D. Slepčev (Accepted Paper: Nonlinearity)
  Mumford - Shah on graphs and their asymptotics (2019)
• M. Caroccia - R. Cristoferi - L. Dietrich (Archive for Rational Mechanics and Analysis)
  Equilibria configurations for epitaxial crystal growth with adatoms (2018)
• M. Caroccia - S. Littig (Journal of Convex Analysis)
  The Cheeger N-problem in terms of BV functions (2017)
• M. Caroccia (Phd Thesis)
  On the isoperimetric properties of planar N-clusters (2015)
• M. Caroccia (Calculus of variation and PDE's)
  Cheeger $N$-clusters (2015)
• M. Caroccia - F. Maggi (Journal de Mathématiques Pures et Appliquées)
  A sharp quantitative version of Hales' isoperimetric honeycomb theorem (2015)
• M. Caroccia - R. Neumayer (Journal of Convex Analysis)
  A note on the stability of the Cheeger constant of $N$-gons (2015)

Seminars:

• 7 sep 2021: Contact surface of Cheeger sets
• 26 nov 2020: Contact surface of Cheeger sets
• 28 nov 2018: Perimeter with densities: an energy for epitaxial growth
• 6 jun 2018: Cheeger N-clusters

Speaker:

• 1 sep 2024 - 7 sep 2024: VARIATIONAL ANALYSIS AND APPLICATIONS - 77th Course of the International School of Mathematics «Guido Stampacchia»
• 16 may 2022 - 20 may 2022: Beyond Elasticity: Advances and Research Challenges
• 6 sep 2021 - 10 sep 2021: Variational methods and applications

Organizer:

• 10 oct 2018 - 12 oct 2018: Topics in Nonlinear Analysis: Calculus of Variations and PDEs