E. Durand-Cartagena, A. Lemenant: Some Stability results under domain variation for Neumann problems in metric spaces Ann. Ac. Sci. Fen. Math. Vol. 35, p. 1-27, 2010 A. Lemenant, E. Milakis: Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in R^N J. Math. Anal. Appl. 2010 P. Álvarez-Caudevilla, A. Lemenant: Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence Adv. in Diff. Eq. 2010 L. Ambrosio, A. Lemenant, G. Royer Carfagni: A variational model for plastic slip and its regularization via Gamma-convergence. Journal of Elasticity 2010 A. Lemenant, E. Mainini: On convex sets that minimize the average distance ESAIM: COCV (Accepted Paper) 2011 A. Lemenant: About the regularity of average distance minimizers in R^2 Journal of convex analysis 2011 A. Lemenant: A presentation of the average distance minimizing problem Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) (review paper) 2011 A. Lemenant, E. Milakis: A stability result for nonlinear Neumann problems in Reifenberg flat domains in $\mathbb R^N$. Publ. Mat. 2011 A. Lemenant, Y. Sire: Boundary regularity for the Poisson equation in reifenberg-flat domains (Preprint) 2012 A. Lemenant, E. Milakis, L. V. Spinolo: On the extension property of Reifenberg-flat domains Annales Academiae Scientiarum Fennicae Mathematica 2012 T. De Pauw, A. Lemenant, V. Millot: On sets minimizing their weighted length in uniformly convex separable Banach spaces (Submitted Paper) 2013 A. Chambolle, A. Lemenant: The stress intensity factor for non-smooth fractures in antiplane elasticity Calc. Var. PDE 2013 A. Lemenant, E. Milakis, L. V. Spinolo: Spectral Stability Estimates for the Dirichlet and Neumann Laplacian in rough domains J. Funct. Anal. 2013 J. F. Babadjian, A. Chambolle, A. Lemenant: Energy release rate for non smooth cracks in planar elasticity (Preprint) 2014 A. Lemenant, F. Santambrogio: A Modica-Mortola approximation for the Steiner Problem Comptes Rendus Mathematique Vol. 352, N. 5, p. 451-454, 2014 A. Lemenant: A selective review on Mumford-Shah minimizers (review paper) 2014 A. Lemenant: A rigidity result for global Mumford-Shah minimizers in dimension three Journal de math. pures et appliquées (Accepted Paper) 2014 M. Bonnivard, A. Lemenant, F. Santambrogio: Approximation of length minimization problems among compact connected sets. SIAM Journal on Mathematical Analysis (Accepted Paper) 2014 A. Daniilidis, G. David, E. Durand-Cartagena, A. Lemenant: Rectifiability of Self-contracted curves in the euclidean space and applications Journal of Geometric Analysis Vol. 25, p. 1211-1239, 2015 A. Lemenant: Rectifiability of non Euclidean planar self-contracted curves (Preprint) 2016 M. Bonnivard, A. Lemenant, V. Millot: On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers (Preprint) 2016 P. W. Dondl, A. Lemenant, S. Wojtowytsch: Phase field models for thin elastic structures with topological constraint Arch Rational Mech Anal (Accepted Paper) 2016 A. Lemenant, H. Mikayelyan: Stationarity of the crack-front for the Mumford-Shah problem in 3D (Preprint) 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 P. Álvarez-Caudevilla, M. Bonnivard, A. Lemenant: Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials (preprint) 2018 E. Durand-Cartagena, A. Lemenant: Self-contracted curves are gradient flows of convex functions Proc. AMS (Preprint) 2018 J. F. Babadjian, F. Iurlano, A. Lemenant: Partial regularity for the crack set minimizing the two-dimensional Griffith energy J. Eur. Math. Soc. (Accepted Paper) 2019 M. Bonnivard, E. Bretin, A. Lemenant: Numerical approximation of the Steiner problem in dimension 2 and 3 Mathematics of computation (Accepted Paper) 2020 B. Bulanyi, A. Lemenant: Regularity for the planar optimal $p$-compliance problem ESAIM Control Optim. Calc. Var. (Accepted Paper) 2021 C. Labourie, A. Lemenant: Regularity improvement for the minimizers of the two-dimensional Griffith energy Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (2023) (Preprint) 2021 C. Labourie, A. Lemenant: Epsilon-Regularity for Griffith almost-minimizers in any dimension under a separating condition Arch Rational Mech Anal 247, 105 (2023). (Preprint) 2022 A. Henrot, A. Lemenant, I. Lucardesi: An isoperimetric problem with two distinct solutions Transactions of the American Mathematical Society (Accepted Paper) 2023 C. Labourie, A. Lemenant: Uniform concentration property for Griffith almost-minimizers (Preprint) 2023 L. Cavallina, K. Funano, A. Henrot, A. Lemenant, I. Lucardesi, S. Sakaguchi: Two extremum problems for Neumann eigenvalues (Submitted Paper) 2023 J. F. Grosjean, A. Lemenant, R. Mougenot: Stable domains for higher order elliptic operators (Preprint) 2023 A. Lemenant, M. R. Pakzad: THE BIHARMONIC OPTIMAL SUPPORT PROBLEM (Preprint) 2024