Marco Caroccia
[caroccia]
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 (17):
[plain text]- M. Caroccia - N. Van Goethem (Preprint)
Iterative blow-ups for maps with bounded $\mathcal{A}$-variation: a refinement, with application to $\mathrm{BD}$ and $\mathrm{BV}$. (2025) - M. Caroccia - N. Van Goethem (Preprint)
Rigidity and functional properties of $\mathrm{BD}_{dev}(\Omega)$ (2025) - 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:
- 30 jun 2025 - 4 jul 2025: Topics in Geometric Measure Theory
- 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