A. Chambolle, M. Novaga: Convergence of an algorithm for anisotropic mean curvature motion SIAM J. Math. Anal. Vol. 37, N. 6, p. 1978-1987, 2006 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: Crystalline mean curvature flow of convex sets Arch. Rational Mech. Anal. Vol. 179, N. 1, p. 109-152, 2006 A. Braides, A. Chambolle, M. Solci: A relaxation result for energies defined on pairs set-function and applications ESAIM: COCV Vol. 13, p. 717-734, 2007 A. Chambolle, A. Giacomini, M. Ponsiglione: Piecewise rigidity J. Funct. Anal. Vol. 244, p. 134-153, 2007 A. Chambolle, M. Novaga: Approximation of the anisotropic mean curvature flow Math. Models Methods Appl. Sci. Vol. 17, N. 6, p. 833844, 2007 V. Caselles, A. Chambolle, M. Novaga: Uniqueness of the Cheeger set of a convex body Pacific Journal of Mathematics Vol. 232, N. 1, p. 77-90, 2007 V. Caselles, A. Chambolle, M. Novaga: The discontinuity set of solutions of the TV denoising problem and some extensions Multiscale Modeling and Simulation Vol. 6, N. 3, p. 879-894, 2007 A. Chambolle, A. Giacomini, M. Ponsiglione: Crack initiation in brittle materials Arch. Ration. Mech. Anal. Vol. 188, N. 2, p. 309-349, 2008 A. Chambolle, M. Novaga: Implicit time discretization of the mean curvature flow with a discontinuous forcing term Interfaces and Free Boundaries Vol. 10, p. 283-300, 2008 V. Caselles, A. Chambolle, S. Moll, M. Novaga: A characterization of convex calibrable sets in $\mathbb R^N$ with respect to anisotropic norms Ann. Inst. H. Poincaré - Anal. Non Linéaire Vol. 25, N. 4, p. 803-832, 2008 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ J. Math. Pures Appl. Vol. 92, N. 5, p. 499-527, 2009 A. Chambolle, A. Giacomini, L. Lussardi: Continuous limits of discrete perimeters ESAIM Math. Model. Numer. Anal. Vol. 44, N. 2, p. 207-230, 2010 V. Caselles, A. Chambolle, D. Cremers, M. Novaga, T. Pock: An introduction to Total Variation for Image Analysis Theoretical Foundations and Numerical Methods for Sparse Recovery, De Gruyter, Radon Series Comp. Appl. Math. Vol. 9, p. 263-340, 2010 V. Caselles, A. Chambolle, M. Novaga: Some remarks on uniqueness and regularity of Cheeger sets Rend. Sem. Mat. Padova Vol. 123, p. 191-201, 2010 A. Briani, A. Chambolle, M. Novaga, G. Orlandi: On the gradient flow of a one-homogeneous functional Confluentes Mathematici Vol. 3, N. 4, p. 1-19, 2011 V. Caselles, A. Chambolle, M. Novaga: Regularity for solutions of the total variation denoising problem Rev. Mat. Iberoamericana Vol. 27, N. 1, p. 233-252, 2011 V. Caselles, A. Chambolle, M. Novaga: Total variation in imaging in Handbook of Mathematical Methods in Imaging, Springer p. 1016-1057, 2011 A. Chambolle, M. Morini, M. Ponsiglione: A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation (Preprint) 2012 L. Almeida, A. Chambolle, M. Novaga: Mean curvature flow with obstacles Annales IHP - Analyse Nonlineaire Vol. 29, p. 667-681, 2012 G. Bellettini, A. Chambolle, M. Goldman: The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension M3AS (Accepted Paper) 2013 A. Chambolle, A. Lemenant: The stress intensity factor for non-smooth fractures in antiplane elasticity Calc. Var. PDE 2013 A. Chambolle, M. Goldman, M. Novaga: Representation, relaxation and convexity for variational problems in Wiener spaces J. Math. Pures et Appl. Vol. 99, N. 4, p. 419-435, 2013 A. Chambolle, M. Goldman, M. Novaga: Existence and qualitative properties of isoperimetric sets in periodic media in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series Vol. 15, p. 93-104, 2013 A. Chambolle, S. Lisini, L. Lussardi: A remark on the anisotropic outer Minkowski content Adv. Calc. Var. Vol. 7, N. 2, p. 241-266, 2014 J. F. Babadjian, A. Chambolle, A. Lemenant: Energy release rate for non smooth cracks in planar elasticity (Preprint) 2014 A. Chambolle, M. Goldman, M. Novaga: Plane-like minimizers and differentiability of the stable norm J. Geometric Analysis Vol. 24, N. 3, p. 1447-1489, 2014 A. Chambolle, M. Morini, M. Ponsiglione: Nonlocal curvature flows Arch. Ration. Mech. Anal. 2015 A. Chambolle, M. Goldman, M. Novaga: Fine properties of the subdifferential for a class of one-homogeneous functionals Adv. Calc. Var. Vol. 8, N. 1, p. 31-42, 2015 A. Chambolle, M. Novaga: Existence and uniqueness for planar anisotropic and crystalline curvature flow Advanced Studies in Pure Mathematics Vol. 67, p. 87-113, 2015 A. Chambolle, M. Morini, M. Ponsiglione: Existence and uniqueness for a crystalline mean curvature flow Communications on Pure and Applied Mathematics (Published online) 2016 A. Chambolle, M. Novaga, B. Ruffini: Some results on anisotropic fractional mean curvature flows Interfaces Free Bound. Vol. 19, N. 3, p. 393-415, 2017 A. Chambolle, L. Ferrari, B. Merlet: A phase-field approximation for the Steiner problem in dimension two Advances in Calculus of Variations (Advances in Calculus of Variations) 2017 A. Chambolle, J. Lamboley, A. Lemenant, E. Stepanov: Regularity for the optimal compliance problem with length penalization SIAM J. Math. Anal. Vol. 49, N. 2, p. 1166-1224, 2017 A. Chambolle, L. A. D. Ferrari, B. Merlet: Variational approximation of size-mass energies for k-dimensional currents (preprint) 2017 A. Chambolle, L. A. D. Ferrari, B. Merlet: Variational approximation of size-mass energies for k-dimensional currents (preprint) 2017 A. Chambolle, S. Conti, F. Iurlano: Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy J. Math. Pures Appl. 2018 A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione: Generalized crystalline evolutions as limits of flows with smooth anisotropies Anal. PDE Vol. 12, N. 3, p. 789-813, 2019 M. Caroccia, A. Chambolle, D. Slepev: Mumford - Shah on graphs and their asymptotics Nonlinearity (Accepted Paper) 2019 A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione: Existence and uniqueness for anisotropic and crystalline mean curvature flows J. Amer. Math. Soc. Vol. 32, N. 3, p. 779824, 2019 A. Chambolle, V. Crismale: Existence of strong solutions to the Dirichlet problem for the Griffith energy Calc. Var. Partial Differential Equations Vol. 58:136, 2019 A. Chambolle, V. Crismale: A density result in $GSBD^p$ with applications to the approximation of brittle fracture energies Arch. Rational Mech. Anal. Vol. 232, N. 3, p. 1329-1378, 2019 G. Bellettini, A. Chambolle, S. Kholmatov: Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (Submitted Paper) 2020 A. Chambolle, M. Novaga, V. Pagliari: On the convergence rate of some nonlocal energies Nonlinear Analysis Vol. 200, p. 112016, 2020 A. Chambolle, V. Crismale: Phase-field approximation for a class of cohesive fracture energies with an activation threshold Adv. Calc. Var. 2020 A. Chambolle, V. Crismale: Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities Ann. Sc. Norm. Super. Pisa Cl. Sci. (Accepted Paper) 2020 F. Cagnetti, A. Chambolle, L. Scardia: Korn and Poincaré-Korn inequalities for functions with small jump set Math. Ann. (Accepted Paper) 2020 F. Cagnetti, A. Chambolle, M. Perugini, L. Scardia: An extension result for generalised special functions of bounded deformation J. Convex Anal. 2021 A. Chambolle, V. Crismale: Compactness and lower semicontinuity in $GSBD$ J. Eur. Math. Soc. (JEMS) 2021 A. Chambolle, L. Lussardi, E. Villa: Anisotropic tubular neighborhoods of sets Math. Z. Vol. 299, N. 3-4, p. 18, 2021 L. Bungert, M. Burger, A. Chambolle, M. Novaga: Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals Anal. PDE Vol. 14, N. 3, p. 823-860, 2021 A. Chambolle, L. Kreutz: Crystallinity of the homogenized energy density of periodic lattice systems Multiscale Modeling & Simulation p. 37, 2021 A. Chambolle, M. Novaga: Anisotropic and crystalline mean curvature flow of mean-convex sets Ann. Scuola Normale Sup. Pisa Vol. XXIII, N. 2, p. 623-643, 2022 A. Chambolle, V. Crismale: A general compactness theorem in $G(S)BD$ Indiana Univ. Math. J. (Accepted Paper) 2022 A. Chambolle, D. De Gennaro, M. Morini: Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows Adv. Calc. Var 2022 D. Bucur, A. Chambolle, A. Giacomini, M. Nahon: A free discontinuity approach to optimal profiles in Stokes flows (preprint) 2023 A. Braides, A. Chambolle: Ising systems, measures on the sphere, and zonoids Tunisian J. Math. (Accepted Paper) 2023 A. Chambolle, M. Novaga: $L^1$-gradient flow of convex functionals (Submitted Paper) 2023 A. Chambolle, D. De Gennaro, M. Morini: Discrete-to-continuous crystalline curvature flows (Preprint) 2024