Marco Caroccia

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the emergence of almost-honeycomb structures in low-energy planar clusters	2025	Marco Caroccia Kenneth DeMason Francesco Maggi
+	On the singular planar Plateau problem	2024	Marco Caroccia Riccardo Scala
+ PDF Chat	On the singular planar Plateau problem	2024	Marco Caroccia Riccardo Scala
+ PDF Chat	Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	2023	Andrea Braides Marco Caroccia
+ PDF Chat	Isoperimetric Sets and p-Cheeger Sets are in Bijection	2023	Marco Caroccia Giorgio Saracco
+ PDF Chat	A compactness Theorem for functions on Poisson point clouds	2022	Marco Caroccia
+	Asymptotic behavior of the Dirichlet energy on Poisson point clouds	2022	Andrea Braides Marco Caroccia
+	A Compactness Theorem for functions on Poisson point clouds	2022	Marco Caroccia
+	Isoperimetric sets and $p$-Cheeger sets are in bijection	2022	Marco Caroccia Giorgio Saracco
+ PDF Chat	Dimensional lower bounds for contact surfaces of Cheeger sets	2021	Marco Caroccia Simone Ciani
+	Dimensional lower bounds for contact surfaces of Cheeger sets.	2021	Marco Caroccia Simone Ciani
+ PDF Chat	Mumford–Shah functionals on graphs and their asymptotics	2020	Marco Caroccia Antonin Chambolle Dejan Slepčev
+	Contact surface of Cheeger sets	2020	Marco Caroccia Simone Ciani
+ PDF Chat	On the Gamma Convergence of Functionals Defined Over Pairs of Measures and Energy-Measures	2020	Marco Caroccia Riccardo Cristoferi
+ PDF Chat	On the Integral Representation of Variational Functionals on $BD$	2020	Marco Caroccia Matteo Focardi Nicolas Van Goethem
+	Dimensional lower bounds for contact surfaces of Cheeger sets	2020	Marco Caroccia Simone Ciani
+	On the integral representation of variational functionals on $BD$	2019	Marco Caroccia Matteo Focardi Nicolas Van Goethem
+ PDF Chat	Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications	2019	Marco Caroccia Nicolas Van Goethem
+	On the integral representation of variational functionals on $BD$	2019	Marco Caroccia Mauro Focardi Nicolas Van Goethem
+ PDF Chat	Equilibria Configurations for Epitaxial Crystal Growth with Adatoms	2018	Marco Caroccia Riccardo Cristoferi Laurent Dietrich
+	Damage-driven fracture with low-order potentials: asymptotic behavior and applications	2017	Marco Caroccia Nicolas Van Goethem
+ PDF Chat	Cheeger N-clusters	2017	Marco Caroccia
+	The Cheeger N-problem in terms of BV functions	2017	Marco Caroccia Samuel Littig
+	Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications	2017	Marco Caroccia Nicolas Van Goethem
+	A sharp quantitative version of Hales' isoperimetric honeycomb theorem	2016	Marco Caroccia Francesco Maggi
+	On the isoperimetric properties of Planar N-clusters	2016	Marco Caroccia
+	On the isoperimetric properties of Planar N-clusters	2016	Marco Caroccia
+	The optimal partition problem for $p$-Laplacian eigenvalues as $p$ goes to one	2015	Marco Caroccia
+	A note on the stability of the cheeger constant of N-gons	2015	Marco Caroccia Robin Neumayer
+	A note on the stability of the Cheeger constant of $N$-gons	2014	Marco Caroccia Robin Neumayer
+	A sharp quantitative version of Hales' isoperimetric honeycomb theorem	2014	Marco Caroccia Francesco Maggi
+	A sharp quantitative version of Hales' isoperimetric honeycomb theorem	2014	Marco Caroccia Francesco Maggi
+	A note on the stability of the Cheeger constant of $N$-gons	2014	Marco Caroccia Robin Neumayer

Common Coauthors

Coauthor	Papers Together
Nicolas Van Goethem	6
Francesco Maggi	4
Simone Ciani	4
Robin Neumayer	3
Riccardo Cristoferi	2
Andrea Braides	2
Matteo Focardi	2
Riccardo Scala	2
Kenneth DeMason	1
Mauro Focardi	1
Samuel Littig	1
Giorgio Saracco	1
Antonin Chambolle	1
Laurent Dietrich	1
Giorgio Saracco	1
Dejan Slepčev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	AN INTRODUCTION TO THE CHEEGER PROBLEM	2011	Enea Parini	7
+ PDF Chat	On the Cheeger sets in strips and non-convex domains	2016	Gian Paolo Leonardi Aldo Pratelli	7
+	Sets of Finite Perimeter and Geometric Variational Problems	2012	Francesco Maggi	6
+	A Lower Bound for the Smallest Eigenvalue of the Laplacian	2015	Jeff Cheeger	6
+ PDF Chat	Some Remarks on Uniqueness and Regularity of Cheeger Sets	2010	Vicent Caselles Antonin Chambolle Matteo Novaga	4
+	An Optimal Partition Problem for Eigenvalues	2006	L. A. Cafferelli Fang Lin	4
+ PDF Chat	Cheeger N-clusters	2017	Marco Caroccia	4
+	The p-Laplace eigenvalue problem as p goes to 1 and Cheeger sets in a Finsler metric	2008	Bernd Kawohl Matteo Novaga	4
+ PDF Chat	The Second Eigenvalue of the <i>p</i>‐Laplacian as <i>p</i> Goes to 1	2009	Enea Parini	4
+ PDF Chat	The Cheeger constant of a Jordan domain without necks	2017	Gian Paolo Leonardi Robin Neumayer Giorgio Saracco	4
+ PDF Chat	Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni	1954	Ennio De Giorgi	4
+	Improved convergence theorems for bubble clusters. I. The planar case	2014	Marco Cicalese Gian Paolo Leonardi Francesco Maggi	4
+	The relation between the laplacian and the diameter for manifolds of non-negative curvature	1968	Jeff Cheeger	3
+ PDF Chat	Cheeger Sets for Rotationally Symmetric Planar Convex Bodies	2021	Antonio Cañete	3
+	Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory	2012	Francesco Maggi	3
+ PDF Chat	On the selection of maximal Cheeger sets	2007	Giuseppe Buttazzo Guillaume Carlier Myriam Comte	3
+ PDF Chat	The Honeycomb Conjecture	2001	Thomas Hales	3
+ PDF Chat	Mumford–Shah functionals on graphs and their asymptotics	2020	Marco Caroccia Antonin Chambolle Dejan Slepčev	3
+	Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems With Constraints	1976	Almgren	3
+ PDF Chat	Analysis of $p$-Laplacian Regularization in Semisupervised Learning	2019	Dejan Slepčev Matthew Thorpe	3
+	Frontiere minimali con ostacoli	1971	Michele Miranda	3
+	A variational approach to the consistency of spectral clustering	2016	Nicolás García Trillos Dejan Slepčev	3
+	Fine Properties of Functions with Bounded Deformation	1997	Luigi Ambrosio Alessandra Coscia Gianni Dal Maso	3
+	Removable Singularities of p-Harmonic Functions	2005	A. V. Pokrovskiĭ	3
+ PDF Chat	Characterization of Cheeger sets for convex subsets of the plane	2006	Bernd Kawohl Thomas Lachand-Robert	3
+ PDF Chat	Minimizers of the prescribed curvature functional in a Jordan domain with no necks	2020	Gian Paolo Leonardi Giorgio Saracco	3
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	3
+ PDF Chat	On the Rate of Convergence of Empirical Measures in ∞-transportation Distance	2014	Nicolás García Trillos Dejan Slepčev	3
+ PDF Chat	The sharp quantitative isoperimetric inequality	2008	Nicola Fusco Francesco Maggi Aldo Pratelli	3
+	A mass transportation approach to quantitative isoperimetric inequalities	2010	Alessio Figalli Francesco Maggi Aldo Pratelli	3
+ PDF Chat	Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals	2002	Frank Duzaar Klaus Steffen	3
+	Optimal Partitions for Eigenvalues	2009	Blaise Bourdain Dorin Bucur Èdouard Oudet	3
+	A characteristic property of spheres	1962	A. D. Alexandrov	3
+ PDF Chat	A Selection Principle for the Sharp Quantitative Isoperimetric Inequality	2012	Marco Cicalese Gian Paolo Leonardi	3
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	3
+	A note on Cheeger sets	2009	Alessio Figalli Francesco Maggi Aldo Pratelli	3
+	Removable singularities of solutions of second-order divergence-form elliptic equations	2005	A. V. Pokrovskiĭ	3
+ PDF Chat	Spectral optimization problems	2011	Giuseppe Buttazzo	3
+	The Gauss–Green theorem and removable sets for PDEs in divergence form	2003	Thierry De Pauw Washek F. Pfeffer	3
+	Remarks on the regularity of weak solutions to some variational inequalities	1981	Mariano Giaquinta	3
+ PDF Chat	Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity	2014	Matteo Focardi Flaviana Iurlano	3
+	Minimal boundaries enclosing a given volume	1981	Eduardo González Umberto Massari Italo Tamanini	3
+ PDF Chat	Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young’s Law	2014	Guido De Philippis Francesco Maggi	3
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini	3
+	A Faber–Krahn Inequality for the Cheeger Constant of $$N$$ N -gons	2014	Dorin Bucur Ilaria Fragalà	3
+ PDF Chat	Alexandrov’s theorem revisited	2019	Matías G. Delgadino Francesco Maggi	3
+ PDF Chat	An Overview on the Cheeger Problem	2015	Gian Paolo Leonardi	3
+	Techniques in fractal geometry	1997	K. J. Falconer	3
+	Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation	2016	Gianni Dal Maso Gianluca Orlando Rodica Toader	2
+ PDF Chat	Functionals defined on measures and applications to non equi-uniformly elliptic problems	1991	Giuseppe Buttazzo Lorenzo Freddi	2