**2018**
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- S. Di Marino - M. Squassina - (Preprint)

New characterizations of Sobolev metric spaces (2018) - G. Alberti - G. Crippa - A. L. Mazzucato (Submitted Paper)

Loss of regularity for the continuity equation with non-Lipschitz velocity field (2018) - R. Alicandro - G. Dal Maso - G. Lazzaroni - M. Palombaro (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals (2018) - R. Alicandro - G. Lazzaroni - M. Palombaro (
*Netw. Heterog. Media*)

Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours (2018) - L. Ambrosio (Submitted Paper)

Calculus and curvature-dimension bounds in metric measure spaces (2018) - L. Ambrosio - C. De Lellis - T. Schmidt (
*J. Reine Angew. Math.*)

Partial regularity for mass-minimizing currents in Hilbert spaces (2018) - L. Ambrosio - G. Stefani (Submitted Paper)

Heat and entropy flows in Carnot groups (2018) - N. Ansini (Proceedings:
*Mathematical Analysis of Continuum Mechanics and Industrial Applications II. Proceedings of the International Conference CoMFoS16.*)

Gradient Flows with Wiggly Potential: A Variational Approach to Dynamics (2018) - W. Ao - A. Jevnikar - W. Yang (Preprint)

Wave equations associated to Liouville-type problems: global existence in time and blow up criteria (2018) - A. H. Ardila - L. Cely - M. Squassina (Preprint)

Logarithmic Bose-Einstein condensates with harmonic potential (2018) - A. Barbagallo - G. Scilla (
*J. Math. Anal. Appl.*)

Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model (2018) - D. Barilari - I. Beschastnyi - A. Lerario (Preprint)

Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (2018) - P. Baroni - M. Colombo - G. Mingione (Preprint)

Regularity for general functionals with double phase (2018) - D. Bartolucci - C. Gui - A. Jevnikar - A. Moradifam (Preprint)

A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations (2018) - L. Beck - M. Bulíček - F. Gmeineder (preprint)

On a Neumann problem for variational functionals of linear growth (2018) - L. Beck - M. Bulíček - E. Maringová (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

Globally Lipschitz minimizers for variational problems with linear growth (2018) - J. D. Benamou - G. Carlier - L. Nenna (Accepted Paper:
*Numerische Mathematik*)

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm (2018) - E. Berchio - D. Buoso - F. Gazzola - D. Zucco (
*JOTA*)

A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates (2018) - B. Bogosel - A. Henrot - I. Lucardesi (Submitted Paper)

Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint (2018) - W. Borrelli (Submitted Paper)

Weakly localized states for nonlinear Dirac equations (2018) - D. Bourne - D. Cushing - S. Liu - F. Münch - N. Peyerimhoff (Accepted Paper:
*SIAM Journal on Discrete Mathematics*)

Ollivier-Ricci idleness functions of graphs (2018) - A. Braides - A. Causin - M. Solci (
*Ann.Mat.Pura Appl*)

Asymptotic analysis of a ferromagnetic Ising system with "diffuse" interfacial energy (2018) - A. Braides - V. Chiadò Piat (
*Applicable Analysis*)

Homogenization of networks in domains with oscillating boundaries (2018) - A. Braides - M. Cicalese - M. Ruf (
*Analysis & PDE*)

Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2018) - A. Braides - L. Kreutz (Accepted Paper:
*SIAM J. Math. Anal.*)

An integral-representation result for continuum limits of discrete energies with multi-body interactions (2018) - A. Braides - V. Vallocchia (
*Acta Applicandae Mathematicae*)

Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals (2018) - E. Bruè - S. Di Marino - F. Stra (Preprint)

Linear Lipschitz and $C^1$ extension operators through random projections (2018) - E. Bruè - D. Semola (Preprint)

Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces (2018) - D. Bucur - I. Fragalà - A. Giacomini (preprint)

Optimal partitions for Robin Laplacian eigenvalues (2018) - D. Bucur - A. Henrot (Submitted Paper)

Maximization of the second non-trivial Neumann eigenvalue (2018) - X. Cabré - G. Poggesi (preprint)

Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions (2018) - D. Campbell - S. Hencl - A. Kauranen - E. Radici (Submitted Paper)

Strict limits of planar BV homeomorphisms (2018) - M. Caponi (Preprint SISSA 06/2018/MATE)

Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation (2018) - G. Carita - J. Matias - M. Morandotti - D. R. Owen (Accepted Paper:
*Journal of Elasticity*)

Dimension reduction in the context of structured deformations (2018) - M. Caroccia - N. Van Goethem (Preprint)

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications (2018) - M. Carriero - A. Leaci - F. Tomarelli (
*Journal of Convex Analysis*)

Segmentation and Inpainting of Color Images (2018) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (
*Calc. Var. Partial Differential Equations*)

Minimizers for nonlocal perimeters of Minkowski type (2018) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (Submitted Paper)

Minimizers of the $p$-oscillation functional (2018) - A. Cesaroni - M. Novaga (
*Discrete Contin. Dyn. Syst. S*)

The isoperimetric problem for nonlocal perimeters (2018) - A. Chambolle - V. Crismale (Preprint)

Compactness and lower semicontinuity in $GSBD$ (2018) - W. Chen - S. J. N. Mosconi - M. Squassina (Accepted Paper:
*J. Funct. Anal.*)

Nonlocal problems with critical Hardy nonlinearity (2018) - E. Cinti (Proceedings)

Flatness results for nonlocal phase transitions (2018) - M. Colombo - A. De Rosa - A. Marchese (Preprint)

Stability for the mailing problem (2018) - V. Crismale - G. Lazzaroni - G. Orlando (Accepted Paper:
*Math. Models Methods Appl. Sci.*)

Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue (2018) - R. Cristoferi - M. Thorpe (Submitted Paper)

Large Data Limit for a Phase Transition Model with the $p$-Laplacian on Point Clouds (2018) - G. Dal Maso - I. Fonseca - G. Leoni (
*Trans. Amer. Math. Soc.*)

Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals (2018) - G. Dal Maso - G. Franzina - D. Zucco (Submitted Paper)

Transmission conditions obtained by homogenisation (2018) - G. Dal Maso - C. J. Larsen - R. Toader (Accepted Paper:
*J. Math. Pures Appl.*)

Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition (2018) - A. Daniilidis - R. Deville - E. Durand-Cartagena (Preprint)

Metric and geometric relaxations of self-contracted curves (2018) - A. Daniilidis - R. Deville - E. Durand-Cartagena - L. Rifford (
*J. Math. Anal. Appl.*)

Self contracted curves in Riemannian manifolds (2018) - F. Dayrens - S. Masnou - M. Novaga (
*ESAIM: COCV*)

Existence, regularity and structure of confined elasticae (2018) - C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Preprint)

Boundary regularity of mass-minimizing integral currents and a question of Almgren (2018) - L. De Luca - M. Goldman - M. Strani (Submitted Paper)

A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation (2018) - M. Di Francesco - S. Fagioli - E. Radici (Submitted Paper)

Deterministic particle approximation for nonlocal transport equations with nonlinear mobility (2018) - S. Di Marino - J. Louet (Accepted Paper:
*SIAM J. Math. Anal.*)

The entropic regularization of the Monge problem on the real line (2018) - S. Dipierro - A. Pinamonti - E. Valdinoci (Submitted Paper)

Rigidity results in Diffusion Markov Triples (2018) - E. Durand-Cartagena - A. Lemenant (Preprint)

Self-contracted curves are gradient flows of convex functions (2018) - S. Dweik - F. Santambrogio (Preprint)

$L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D (2018) - M. Engelstein - L. Spolaor - B. Velichkov (Preprint)

(Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents (2018) - M. Engelstein - L. Spolaor - B. Velichkov (Preprint)

Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional (2018) - S. Fagioli - E. Radici (Submitted Paper)

Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation (2018) - G. Franzina (Preprint)

Non-local Torsion functions and Embeddings (2018) - M. Friedrich - F. Solombrino (
*Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire*)

Quasistatic crack growth in 2d-linearized elasticity (2018) - F. Ghiraldin - X. Lamy (Submitted Paper)

Optimal Besov differentiability for entropy solutions of the eikeonal equation (2018) - P. Gidoni - G. B. Maggiani - R. Scala (Preprint)

Existence and regularity of solutions for an evolution model of perfectly plastic plates (2018) - N. Gigli - E. Pasqualetto (Submitted Paper)

On the notion of parallel transport on RCD spaces (2018) - N. Gigli - L. Tamanini (Submitted Paper)

Second order differentiation formula on $RCD^*(K,N)$ spaces (2018) - F. Glaudo (Preprint)

On the c-concavity with Respect to the Quadratic Cost on a Manifold (2018) - M. Goldman - M. Novaga - M. Röger (Submitted Paper)

Quantitative estimates for bending energies and applications to non-local variational problems (2018) - M. van den Berg - T. Kappeler (Submitted Paper)

On the $L^p$ norm of the torsion function (2018) - L. Kreutz (Preprint)

A homogenization result for weak membrane energies (2018) - D. A. La Manna (Accepted Paper:
*ESAIM: Control, Optimisation and Calculus of Variations*)

An isoperimetric problem with a Coulombic repulsion and attractive term (2018) - G. Lazzaroni - L. Nardini (Accepted Paper:
*SIAM J. Appl. Math.*)

Analysis of a dynamic peeling test with speed-dependent toughness (2018) - G. Lazzaroni - L. Nardini (
*J. Nonlinear Sci.*)

On the quasistatic limit of dynamic evolutions for a peeling test in dimension one (2018) - G. P. Leonardi - G. Saracco (
*Nonlinear Differ. Equ. Appl.*)

The prescribed mean curvature equation in weakly regular domains (2018) - G. P. Leonardi - G. Saracco (Online first:
*Ann. Mat. Pura Appl.*)

Two examples of minimal Cheeger sets in the plane (2018) - A. Lorent - G. Peng (Preprint)

Null Lagrangian Measures in planes, compensated compactness and conservation laws (2018) - L. Lussardi - S. Marini - M. Veneroni (
*Netw. Heterog. Media*)

Stochastic homogenization of maximal monotone relations and applications (2018) - D. Lučić - E. Pasqualetto (Preprint)

The Serre-Swan theorem for normed modules (2018) - F. Maddalena - D. Percivale - F. Tomarelli (
*SIAM J. Math. Anal.*)

Variational Problems for Foppl-von Karman plates (2018) - A. Malchiodi - M. Novaga - D. Pagliardini (Submitted Paper)

On critical points of the relative fractional perimeter (2018) - C. Mantegazza (Preprint)

Some Elementary Questions in the Calculus of Variations (2018) - C. Mantegazza - M. Novaga - A. Pluda (Lecture Notes:
*Springer INdAM Series*)

Lectures on Curvature Flow of Networks (2018) - D. Melching - R. Scala - J. Zeman (Preprint)

Damage model for plastic materials at finite strains (2018) - A. C. G. Mennucci (Submitted Paper)

Designing metrics; the delta metric for curves (2018) - M. Novaga - D. Pallara - Y. Sire (
*J. Anal. Math.*)

A fractional isoperimetric problem in the Wiener space (2018) - E. Paolini - E. Stepanov (
*Proc. Royal Soc. Edinburgh Ser. A - Mathematics*)

Flows of measures generated by vector fields (2018) - E. Paolini - A. Tamagnini (Accepted Paper:
*ESAIM: COCV*)

Minimal clusters of four planar regions with the same area (2018) - V. Recupero - F. Santambrogio (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Sweeping processes with prescribed behaviour on jumps (2018) - R. Rossi (Accepted Paper:
*Zeitschrift fur Angewandte Mathematik und Mechanik*)

From visco to perfect plasticity in thermoviscoelastic materials (2018) - R. Rossi (Submitted Paper)

Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity (2018) - R. Rossi - G. Savaré - A. Segatti - U. Stefanelli (Submitted Paper)

Weighted Energy-Dissipation principle for gradient flows in metric spaces (2018) - F. Santambrogio (Preprint)

Crowd motion and population dynamics under density constraints (2018) - G. Scilla - V. Vallocchia (
*Journal of Elasticity*)

Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions (2018) - G. Stefani (Accepted Paper:
*Journal of Convex Analysis*)

On the monotonicity of perimeter of convex bodies (2018) - D. Tewodrose (Submitted Paper)

Weighted Sobolev inequalities in CD(0,N) spaces (2018) - M. van den Berg (Submitted Paper:
*Integral Equations Operator Theory*)

Heat content in non-compact Riemannian manifolds (2018)