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- (Preprint)

Minimal clusters of four planar regions with the same area (2016) - C. Mantegazza - V. M. Tortorelli - (curatori) (
*Quaderni dell'Accademia Pontaniana di Napoli*)

Ennio De Giorgi - Corso di Analisi Matematica (2016) - D. Barilari - U. Boscain - M. Sigalotti - (editors) (Lecture Notes:
*EMS Series of Lectures in Mathematics*)

Dynamics, geometry and analysis on sub-Riemannian manifolds, vol. I and vol. II (2016) - R. Benedetti - C. Mantegazza - (editors) (
*Lecture Notes in Mathematics/CIME Foundation Subseries, Springer.*)

Ricci Flow and Geometric Applications (2016) - C. De Lellis - P. Gwiazda - S. G. Agnieszka (
*Calc. Var. Partial Differential Equations*)

Transport equation with integral terms (2016) - V. Agostiniani - R. Rossi (Submitted Paper)

Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case (2016) - A. Agrachev - D. Barilari - U. Boscain (Lecture Notes)

Introduction to Riemannian and Sub-Riemannian geometry (2016) - A. Agrachev - D. Barilari - E. Paoli (Submitted Paper)

Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics (2016) - A. Agrachev - U. Boscain - R. Neel - L. Rizzi (Accepted Paper:
*ESAIM: COCV*)

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling (2016) - B. Albers - P. Krejci - E. Rocca (Accepted Paper:
*SIAM J. Math. Anal., to appear*)

Solvability of an unsaturated porous media flow problem with thermomechanical interaction (2016) - G. Alberti - S. Bianchini - L. Caravenna (
*Journal of Differential Equations*)

Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I (2016) - G. Alberti - G. Crippa - A. L. Mazzucato (Submitted Paper)

Exponential self-similar mixing by incompressible flows (2016) - G. Alberti - A. Marchese (
*Geom. Funct. Anal. (GAFA)*)

On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2016) - R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (
*J. Mech. Phys. Solids*)

Dynamics of discrete screw dislocations on glide directions (2016) - R. Alicandro - M. S. Gelli (
*SIAM J. Math. Anal.*)

Local and non local continuum limits of Ising type energies for spin systems (2016) - R. Alicandro - G. Lazzaroni - M. Palombaro (Preprint)

Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours (2016) - S. Almi (Preprint)

Quasi-static hydraulic crack growth driven by Darcy's law (2016) - L. Ambrosio - G. E. Comi (Submitted Paper)

Anisotropic surface measures as limits of volume fractions (2016) - L. Ambrosio - S. Di Marino - N. Gigli (Submitted Paper:
*Nonlinear Analysis: Theory, Methods & Applications*)

Perimeter as relaxed Minkowski content in metric measure spaces (2016) - L. Ambrosio - S. Honda (Submitted Paper)

New stability results for sequences of metric measure spaces with uniform Ricci bounds from below (2016) - L. Ambrosio - A. Mondino (
*Rend. Lincei Mat. Appl.*)

Gaussian-type Isoperimetric Inequalities in $RCD(K,\infty)$ probability spaces for positive $K$ (2016) - L. Ambrosio - D. Puglisi (Submitted Paper)

Linear extension operators between spaces of Lipschitz maps and Optimal Transport} (2016) - L. Ambrosio - F. Stra - D. Trevisan (Preprint)

A PDE approach to a 2-dimensional matching problem (2016) - L. Ambrosio - F. Stra - D. Trevisan (Submitted Paper)

Weak and strong convergence of derivations and stability of flows with respect to MGH convergence (2016) - L. Angiuli - L. Lorenzi - D. Pallara (
*J. Math. Anal. Appl.*)

$L^p$-estimates for parabolic systems with unbounded coefficients coupled at zero and first order (2016) - W. Ao - A. Jevnikar - W. Yang (Preprint)

On the boundary behavior for the blow up solutions of the sinh-Gordon equation and $B_2, G_2$ Toda systems in bounded domain (2016) - A. Arroyo-Rabasa (
*Calculus of Variations and Partial Differential Equations*)

Regularity for free interface variational problems in a general class of gradients (2016) - A. Arroyo-Rabasa (Submitted Paper)

Relaxation and optimization for linear-growth convex integral functionals under PDE constraints (2016) - R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (Preprint)

$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2016) - E. Baer - A. Figalli (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Characterization of isoperimetric sets inside almost-convex cones (2016) - A. Baldi - G. Citti - G. Cupini (Preprint)

Schauder estimates at the boundary for sub-laplacians in Carnot groups (2016) - P. Baldi - E. Haus - C. Mantegazza (Submitted Paper)

Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature (2016) - R. Ballarini - G. Royer Carfagni (
*Journal of Applied Mechanics*)

Closed-Path J -Integral Analysis of Bridged and Phase-Field Cracks (2016) - M. Barchiesi (Submitted Paper)

Toughening by crack deflection in the homogenization of brittle composites with soft inclusions (2016) - M. Barchiesi - V. Julin (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality (2016) - M. Barchiesi - G. Lazzaroni - C. I. Zeppieri (
*SIAM J. Math. Anal.*)

A bridging mechanism in the homogenisation of brittle composites with soft inclusions (2016) - M. Bardi - A. Cesaroni (
*J. Differential Equations*)

Liouville properties and critical value of fully nonlinear elliptic operators (2016) - M. Bardi - A. Cesaroni - L. Rossi (
*ESAIM Control Optim. Calc. Var.*)

Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control (2016) - M. Bardi - A. Cesaroni - A. Scotti (
*ESAIM Control Optim. Calc. Var.*)

Convergence in Multiscale Financial Models with Non-Gaussian Stochastic Volatility (2016) - M. Bardi - E. Feleqi (
*NoDEA Nonlinear Differential Equations Appl.*)

Nonlinear Elliptic Systems and Mean Field Games (2016) - D. Barilari - F. Boarotto (Preprint)

On the set of points of smoothness for the value function for affine optimal control problems (2016) - D. Barilari - U. Boscain - G. Charlot - R. W. Neel (
*Int. Math. Res. Not.*)

On the heat diffusion for generic Riemannian and sub-Riemannian structures (2016) - D. Barilari - U. Boscain - E. Le Donne - M. Sigalotti (
*Journal of Dynamical and Control Systems*)

Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions (2016) - G. Barles - A. Briani - E. Trélat (Submitted Paper)

Value Function and Optimal Trajectories for Regional Control Problems via Dynamic Programming and Pontryagin Maximum Principles (2016) - P. Baroni (Submitted Paper)

Singular parabolic equations, measures satisfying density conditions, and gradient integrability (2016) - P. Baroni - A. Di Castro - G. Palatucci (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Intrinsic geometry and De Giorgi classes for certain anisotropic problems (2016) - P. Baroni - C. Lindfors (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

The Cauchy-Dirichlet problem for a general class of parabolic equations (2016) - D. Bartolucci - D. Castorina (
*Journal of Elliptic and Parabolic Equations*)

A global existence result for a Keller-Segel type system with supercritical data (2016) - M. Beccaria - G. Metafune - D. Pallara (
*J. High Energy Phys.*)

The ground state of long-range Schroedinger equations and static $q\overline{q}$ potential (2016) - G. Bellettini - S. Kholmatov - M. Novaga (Accepted Paper:
*Comm. Pure Appl. Analysis*)

Minimizers of anisotropic perimeters with cylindrical norms (2016) - G. Bellettini - S. Kholmatov (Preprint)

Minimizing movements for mean curvature flow of droplets with prescribed contact angle (2016) - J. C. Bellido - G. Buttazzo - B. Velichkov (Submitted Paper)

Worst-case shape optimization for the Dirichlet energy (2016) - J. D. Benamou - G. Carlier - F. Santambrogio (Accepted Paper:
*"Active Particles, Volume 1: Theory, Models, Applications"*)

Variational Mean Field Games (2016) - J. J. Bevan - C. I. Zeppieri (
*Calc. Var. Partial Differential Equations*)

A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation (2016) - S. Bianchini - E. Marconi (proceeding)

A Lagrangian approach to scalar conservation laws (2016) - S. Bianchini - E. Marconi (
*Discrete and Continuous Dynamical Systems. Series S*)

On the concentration of entropy for scalar conservation laws (2016) - S. Bianchini - E. Marconi (Submitted Paper)

On the structure of $L^\infty$-entropy solutions to scalar conservation laws in one-space dimension (2016) - A. Blanchet - G. Carlier - L. Nenna (Submitted Paper)

Computation of Cournot-Nash equilibria by entropic regularization (2016) - B. Bogosel - D. Bucur - A. Giacomini (SIAM J. Math. Analysis (to appear))

Optimal shapes maximizing the Steklov eigenvalues (2016) - A. Bohun - F. Bouchut - G. Crippa (
*Nonlinear Analysis: Theory, Methods & Applications*)

Lagrangian solutions to the 2D Euler system with $L^1$ vorticity and infinite energy (2016) - M. Bonacini - H. Knüpfer (
*Calc. Var. Partial Differential Equations*)

Ground states of a ternary system including attractive and repulsive Coulomb-type interactions (2016) - M. Bonafini - G. Orlandi - E. Oudet (Submitted Paper)

Variational approximation of functionals defined on 1-dimensional connected sets: the planar case (2016) - M. Bonforte - A. Figalli - X. Ros-Oton (Accepted Paper:
*Comm. Pure Appl. Math.*)

Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains (2016) - M. Bongini - G. Buttazzo (Submitted Paper)

Optimal Control Problems in Transport Dynamics (2016) - M. Bonnivard - A. Lemenant - V. Millot (Preprint)

On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers (2016) - D. Bourne - S. Conti - S. Müller (
*Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, A. Pandolfi and K. Weinberg (eds.), Springer*)

Folding patterns in partially delaminated thin films (2016) - P. Bousquet - L. Brasco (Submitted Paper)

$C^1$ regularity of orthotropic $p-$harmonic functions in the plane (2016) - A. Braides - B. Cassano - A. Garroni - D. Sarrocco (
*Annales de l'Institut Henri Poincaré*)

Quasi-static damage evolution and homogenization: a case study of non-commutability (2016) - A. Braides - A. Causin - M. Solci (Submitted Paper)

Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy (2016) - A. Braides - V. Chiadò Piat - M. Solci (
*Math. Mech. Complex Syst.*)

Discrete double-porosity models for spin systems (2016) - A. Braides - M. Cicalese - M. Ruf (Preprint)

Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2016) - A. Braides - M. Cicalese - N. K. Yip (
*J. Stat. Phys.*)

Crystalline Motion of Interfaces Between Patterns (2016) - A. Braides - M. Colombo - M. Gobbino - M. Solci (
*C. R. Acad. Sci. Paris, Ser. I*)

Minimizing movements along a sequence of functionals and curves of maximal slope (2016) - A. Braides - A. Garroni - M. Palombaro (
*Multiscale Model. Simul.*)

Interfacial energies of systems of chiral molecules (2016) - A. Braides - M. S. Gelli (
*J. Mech. Phys. Solids*)

Asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2016) - A. Braides - L. Kreutz (Accepted Paper:
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (2016) - A. Braides - L. Kreutz (Preprint)

Optimal design of mixtures of ferromagnetic interactions (2016) - A. Braides - M. Solci (
*Math. Mech. Solids*)

Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case (2016) - A. Braides - M. Solci (
*J. Nonlinear Sci.*)

Motion of discrete interfaces through mushy layers (2016) - A. Braides - V. Vallocchia (Submitted Paper)

Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals (2016) - A. Brancolini - C. Rossmanith - B. Wirth (Preprint)

Optimal micropatterns in 2D transport networks and their relation to image inpainting (2016) - A. Brancolini - B. Wirth (
*J. Math. Pures Appl.*)

Equivalent formulations for the branched transport and urban planning problems (2016) - L. Brasco - G. De Philippis (Book Chapter)

Spectral inequalities in quantitative form (2016) - L. Brasco - C. Leone - G. Pisante - A. Verde (Accepted Paper:
*Nonlinear Anal.*)

Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals (2016) - L. Brasco - F. Santambrogio (Accepted Paper:
*Springer Proceedings in Mathematics & Statistics*)

A note on some Poincaré inequalities on convex sets by Optimal Transport methods (2016) - L. Brasco - M. Squassina - Y. Yang (Preprint)

Global compactness results for nonlocal problems (2016) - T. Buckmaster - C. De Lellis - L. J. László Jr Székelyhidi (
*Comm. Pure Appl. Math.*)

Dissipative Euler flows with Onsager-critical spatial regularity (2016) - D. Bucur - G. Buttazzo - C. Nitsch (Submitted Paper)

Symmetry breaking for a problem in optimal insulation (2016) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)

The Robin-Laplacian problem on varying domains (2016) - B. Buet - G. P. Leonardi (Accepted Paper:
*Ann. Acad. Sci. Fenn.*)

Recovering measures from approximate values on balls (2016) - B. Buet - G. P. Leonardi - S. Masnou (Preprint)

A varifold approach to surface approximation (2016) - G. Buttazzo - G. Cardone - S. Nazarov

Thin elastic plates supported over small areas I. Korn's inequalities and boundary layers (2016) - G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)

Continuity and estimates for multimarginal optimal transportation problems with singular costs (2016) - M. Petrache - L. Bétermin (Preprint)

Dimension reduction techniques for theta functions on lattices (2016) - A. Canino - L. Montoro - B. Sciunzi - M. Squassina (Accepted Paper:
*Bulletin des Sciences Mathématiques*)

Nonlocal problems with singular nonlinearity (2016) - L. Capogna - E. Le Donne - A. Ottazzi (Submitted Paper)

Conformality and $Q$-harmonicity in sub-Riemannian manifolds (2016) - M. Caponi - P. Pucci (
*Ann. Mat. Pura Appl.*)

Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations (2016) - L. Caravenna - G. Crippa (Accepted Paper:
*C. R. Math. Acad. Sci. Paris*)

Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation (2016) - P. Cardaliaguet - A. R. Mészáros - F. Santambrogio (Accepted Paper:
*SIAM J. Contr. Opt.*)

First order Mean Field Games with density constraints: Pressure equals Price (2016) - E. Carlen - F. Maggi (Accepted Paper:
*Canadian J. Math.*)

Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry (2016) - A. Carlotto - C. De Lellis (Preprint)

Min-max embedded geodesic lines on asymptotically conical surfaces (2016) - A. Carlotto - A. Mondino (Journal of London Math. Society)

A non-existence result for minimal catenoids in asymptotically flat spaces (2016) - J. A. Carrillo - A. Figalli - F. S. Patacchini (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Geometry of minimizers for the interaction energy with mildly repulsive potentials (2016) - V. Caselles - M. Novaga - C. Pöschl (Submitted Paper)

TV denoising of two balls in the plane (2016) - P. Castillon - B. Ruffini (Submitted Paper)

A spectral characterization of geodesic balls in non-compact rank one symmetric spaces (2016) - D. Castorina - A. Cesaroni - L. Rossi (
*Comm. Pure App. Anal.*)

On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary (2016) - G. Catino (
*Bull. Sci. Math.*)

A remark on compact hypersurfaces with constant mean curvature in space forms (2016) - G. Catino (
*Adv. Math.*)

Integral pinched shrinking Ricci solitons (2016) - G. Catino (
*Proc. Amer. Math. Soc.*)

On conformally flat manifolds with constant positive scalar curvature (2016) - G. Catino - P. Mastrolia (Submitted Paper)

Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds (2016) - G. Catino - P. Mastrolia - D. D. Monticelli (
*Pac. J. Math*)

A variational characterization of flat spaces in dimension three (2016) - G. Catino - P. Mastrolia - D. D. Monticelli (
*Geom. Topol.*)

Classification of expanding and steady Ricci solitons with integral curvature decay (2016) - G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (
*Trans. Amer. Math. Soc.*)

Analytic and geometric properties of generic Ricci solitons (2016) - G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (
*Adv. Geom.*)

Conformal Ricci solitons and related integrability conditions (2016) - G. Catino - L. Mazzieri (
*Nonlinear Anal.*)

Gradient Einstein solitons (2016) - F. Cavalletti (Preprint)

An overview of L1 optimal transportation on metric measure spaces (2016) - F. Cavalletti - F. Maggi - A. Mondino (Preprint)

Rigidity for critical points in the Levy-Gromov inequality (2016) - F. Cavalletti - E. Milman (Preprint)

The Globalization Theorem for the Curvature Dimension Condition (2016) - F. Cavalletti - A. Mondino (Submitted Paper)

Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds (2016) - F. Cavalletti - A. Mondino (accepted:
*Advances in Math.*)

Measure rigidity of Ricci curvature lower bounds (2016) - F. Cavalletti - A. Mondino (Accepted Paper:
*Commun. Contemp. Math.*)

Optimal maps in essentially non-branching spaces (2016) - A. Cesaroni - N. Dirr - C. Marchi (
*SIAM J. Math. Anal.*)

Homogenization of a mean field game system in the small noise limit (2016) - A. Cesaroni - N. Dirr - M. Novaga (
*ESAIM Proceedings and Surveys*)

Asymptotic speed of propagation for a viscous semilinear parabolic equation (2016) - A. Cesaroni - N. Dirr - M. Novaga (Submitted Paper)

Homogenization of a semilinear heat equation (2016) - A. Cesaroni - M. Novaga (Accepted Paper:
*Discrete Contin. Dyn. Syst. S*)

Volume constrained minimizers of the fractional perimeter with a potential energy (2016) - A. Chambolle - M. Morini - M. Ponsiglione (Published online:
*Communications on Pure and Applied Mathematics*)

Existence and uniqueness for a crystalline mean curvature flow (2016) - A. Chambolle - M. Novaga - B. Ruffini (Accepted Paper:
*Interfaces Free Bound.*)

Some results on anisotropic fractional mean curvature flows (2016) - S. Chen - A. Figalli (Accepted Paper:
*J. Math. Pures Appl.*)

Stability results on the smoothness of optimal transport maps with general costs (2016) - E. Chiodaroli - J. Krieger - J. Lührmann (Submitted Paper)

Concentration compactness for critical radial wave maps (2016) - E. Chiodaroli - M. Michalek (Preprint)

Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations (2016) - A. P. Choudhury - G. Crippa - L. V. Spinolo (Submitted Paper)

Initial-boundary value problems for nearly incompressible vector ﬁelds, and applications to the Keyﬁtz and Kranzer system (2016) - M. Cicalese - L. De Luca - M. Novaga - M. Ponsiglione (
*SIAM J. Math. Anal.*)

Ground States of a two phase model with cross and self attractive interactions (2016) - M. Cicalese - M. Ruf - F. Solombrino (
*Mathematical Models and Methods in Applied Sciences*)

Chirality transitions in frustrated $S^{2}$-valued spin systems (2016) - E. Cinti - B. Franchi - M. M. González (Preprint)

$\Gamma$-convergence of variational functionals with boundary terms in Stein manifolds (2016) - E. Cinti - F. Otto (Accepted Paper:
*J. Funct. Anal.*)

Interpolation inequalities in pattern formation (2016) - E. Cinti - J. Serra - E. Valdinoci (Submitted Paper)

Quantitative flatness results and BV-estimates for stable nonlocal minimal surfaces (2016) - E. Cinti - C. Sinestrari - E. Valdinoci (Preprint)

Neckpinch singularities in Fractional Mean Curvature Flows (2016) - G. Ciraolo - F. Maggi (Accepted Paper:
*Comm. Pure Appl. Math.*)

On the shape of compact hypersurfaces with almost constant mean curvature (2016) - G. M. Coclite - M. Garavello (Submitted Paper)

A Time Dependent Optimal Harvesting Problem with Measure Valued Solutions (2016) - G. M. Coclite - M. Garavello - L. V. Spinolo (Submitted Paper)

Optimal strategies for a time-dependent harvesting problem (2016) - P. Colli - G. Gilardi - E. Rocca (Submitted Paper)

Optimal distributed control of a diffuse interface model of tumor growth (2016) - M. Colombo - F. Maggi (Accepted Paper:
*Nonlinear Analysis*)

Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters (2016) - M. Colturato (
*Appl. Math.*)

Solvability of a class of phase field systems related to a sliding mode control problem (2016) - M. Colturato - M. Degiovanni (
*Advances in Nonlinear Analysis*)

A Fredholm alternative for quasilinear elliptic equations with right hand side measure (2016) - S. Conti - M. Focardi - F. Iurlano (Accepted Paper:
*C. R. Acad. Sci. Paris, Ser. I*)

Existence of minimizers for the $2$d stationary Griffith fracture model (2016) - S. Conti - M. Focardi - F. Iurlano (Preprint)

Existence of strong minimizers for the Griffith static fracture model in dimension two (2016) - S. Conti - M. Focardi - F. Iurlano (Archive for Rational Mechanics and Analysis)

Integral representation for functionals defined on $SBD^p$ in dimension two (2016) - S. Conti - M. Focardi - F. Iurlano (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Sect. A*)

Which special functions of bounded deformation have bounded variation? (2016) - M. Cozzi - A. Figalli (Lecture Notes:
*CIME Lecture Notes*)

Regularity theory for local and nonlocal minimal surfaces: an overview (2016) - G. Crasta - V. De Cicco (Accepted Paper:
*Nonlinear Analysis*)

On the chain rule formulas for divergences and applications to conservation laws (2016) - G. Crasta - V. De Cicco - G. De Philippis - F. Ghiraldin (Accepted Paper:
*Arch. Ration. Mech. An.*)

Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness (2016) - L. Cremaschi (Phd Thesis)

Some Variations on Ricci Flow (2016) - V. Crismale (
*ESAIM Control Optim. Calc. Var.*)

Globally stable quasistatic evolution for a coupled elastoplastic–damage model (2016) - V. Crismale (Accepted Paper:
*Ann. Mat. Pura Appl.*)

Globally stable quasistatic evolution for strain gradient plasticity coupled with damage (2016) - V. Crismale (Phd Thesis)

Some results on quasistatic evolution problems for unidirectional processes (2016) - V. Crismale - G. Lazzaroni (
*Calc. Var. Partial Differential Equations*)

Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model (2016) - V. Crismale - G. Lazzaroni - G. Orlando (Preprint SISSA 40/2016/MATE)

Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue (2016) - R. Cristoferi (Accepted paper)

A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional (2016) - R. Cristoferi (Submitted Paper)

Exact solutions for the denoising problem of piecewise constant images in dimension one (2016) - G. Cupini - P. Marcellini - E. Mascolo (Accepted Paper:
*Nonlinear Analysis*)

Regularity of minimizers under limit growth conditions (2016) - B. Dacorogna - I. Fonseca - G. Mingione (Submitted Paper:
*Nonlinear Analysis (special issue in honor of Nicola Fusco)*)

Tha various stages of Nicola Fusco (2016) - G. Dal Maso - I. Fonseca - G. Leoni (Submitted Paper)

Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals (2016) - G. Dal Maso - C. J. Larsen - R. Toader (Accepted Paper:
*J. Mech. Phys. Solids*)

Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition (2016) - G. Dal Maso - G. Lazzaroni - L. Nardini (
*J. Differential Equations*)

Existence and uniqueness of dynamic evolutions for a peeling test in dimension one (2016) - G. Dal Maso - I. Lucardesi (Accepted Paper:
*Appl. Math. Res. Express. AMRX*)

The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data (2016) - G. Dal Maso - G. Orlando - R. Toader (
*Calc. Var. Partial Differential Equations*)

Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case (2016) - G. Dal Maso - G. Orlando - R. Toader (Accepted Paper:
*Adv. Cal. Var.*)

Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation (2016) - M. Dambrine - D. Kateb - J. Lamboley (
*Annales de l'IHP, Analyse non linéaire*)

An extremal eigenvalue problem for the Wentzell-Laplace operator (2016) - E. Davoli - I. Fonseca (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Homogenization of integral energies under periodically oscillating differential constraints (2016) - E. Davoli - I. Fonseca (Accepted Paper:
*Portugalia Math.*)

Periodic homogenization of integral energies under space-dependent differential constraints (2016) - E. Davoli - P. Liu (Submitted Paper)

Optimal parameters and regularizers for image reconstruction problems-One dimensional setting (2016) - E. Davoli - P. Piovano - U. Stefanelli (Accepted Paper:
*Journal of Nonlinear Science*)

Sharp $N^{3/4}$ law for the minimizers of the Edge-Isoperimetric Problem on the triangular lattice (2016) - E. Davoli - P. Piovano - U. Stefanelli (Accepted Paper:
*Math. Models Methods Appl. Sci.*)

Wulff shape emergence in graphene (2016) - E. Davoli - U. Stefanelli (Submitted Paper)

Dynamic perfect plasticity as convex minimization (2016) - F. Dayrens - S. Masnou - M. Novaga (Accepted Paper:
*ESAIM: COCV*)

Existence, regularity and structure of confined elasticae (2016) - V. De Cicco (Accepted Paper:
*Milan J. Mathematics*)

Nonautonomous chain rules in BV with Lipschitz dependence (2016) - C. De Lellis (
*Boll. Unione Mat. Ital.*)

$2$-dimensional almost area minimizing currents (2016) - C. De Lellis (Preprint)

Il teorema di Schlaefli: un invito alla quarta dimensione (2016) - C. De Lellis (Accepted Paper)

The masterpieces of John Forbes Nash Jr. (2016) - C. De Lellis (
*Surveys in differential geometry*)

The size of the singular set of area-minimizing currents (2016) - C. De Lellis - A. De Rosa - F. Ghiraldin (
*Adv. Calc. Var.*)

A direct approach to the anisotropic Plateau's problem (2016) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (Preprint)

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2016) - C. De Lellis - J. Ramic (Preprint)

Min-max theory for minimal hypersurfaces with boundary (2016) - C. De Lellis - E. Spadaro (
*Ann. of Math. (2)*)

Regularity of area-minimizing currents II: center manifold (2016) - C. De Lellis - E. Spadaro (
*Ann. of Math. (2)*)

Regularity of area-minimizing currents III: blow up (2016) - L. De Luca (
*Asymptot. Anal.*)

Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy (2016) - L. De Pascale - J. Louet - F. Santambrogio (
*J. Math. Pures Appl.*)

The Monge problem with vanishing gradient penalization: vortices and asymptotic profile (2016) - G. De Philippis (Proceedings of the 7ECM)

On the singular part of measures constrained by linear PDEs and applications (2016) - G. De Philippis - A. De Rosa - F. Ghiraldin (Accepted Paper:
*Comm. Pure App. Math.*)

Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies (2016) - G. De Philippis - A. Figalli (Accepted Paper:
*Nonlinear Anal.*)

Rigidity and stability of Caffarelli's log-concave perturbation theorem (2016) - G. De Philippis - G. Franzina - A. Pratelli (Accepted Paper:
*Journal of Geometric Analysis*)

Existence of isoperimetric sets with densities ''converging from below'' on $\mathbb R^N$ (2016) - G. De Philippis - N. Fusco - A. Pratelli (Submitted Paper)

On the approximation of SBV functions (2016) - G. De Philippis - J. Lamboley - M. Pierre - B. Velichkov (Accepted Paper:
*J. Math. Pures Appl.*)

Regularity of minimizers of shape optimization problems involving perimeter (2016) - G. De Philippis - A. Marchese - F. Rindler (Accepted Paper)

On a conjecture of Cheeger (2016) - G. De Philippis - F. Rindler (Accepted Paper:
*Arch. Ration. Mech. An.*)

Characterization of generalized Young measures generated by symmetric gradients (2016) - G. De Philippis - F. Rindler (Accepted Paper:
*Ann. of Math.*)

On the structure of ${\mathscr A}$-free measures and applications (2016) - A. De Rosa (Preprint)

Minimization of anisotropic energies in classes of rectifiable varifolds (2016) - A. Di Castro - L. Giacomelli (
*Nonlinear Analysis*)

The 1-harmonic flow with values into a smooth planar curve (2016) - A. Di Castro - T. Kuusi - G. Palatucci (
*Ann. Inst. H. Poincare Anal. Non Lineaire*)

Local behavior of fractional p-minimizers (2016) - S. Di Marino - A. R. Mészáros (Accepted Paper:
*Math. Models Methods Appl. Sci.*)

Uniqueness issues for evolution equations with density constraints (2016) - S. Dipierro - F. Maggi - E. Valdinoci (Preprint)

Asymptotic expansions of the contact angle in nonlocal capillarity problems (2016) - S. Dipierro - M. Novaga - E. Valdinoci (Submitted Paper)

Rigidity of critical points for a nonlocal Ohta-Kawasaki energy (2016) - S. Dipierro - N. Soave - E. Valdinoci (Accepted Paper:
*Mathematische Annalen*)

On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results. (2016) - P. W. Dondl - A. Lemenant - S. Wojtowytsch (Accepted Paper:
*Arch Rational Mech Anal*)

Phase field models for thin elastic structures with topological constraint (2016) - E. Durand-Cartagena - J. Á. Jaramillo - N. Shanmugalingam (Preprint)

Existence and uniqueness of $\infty$-harmonic functions under assumption of $\infty$-Poincaré inequality (2016) - S. Dweik (Accepted Paper: Journal of Convex Analysis)

Optimal transportation with boundary costs and summability estimates on the transport density (2016) - A. Erhardt (
*Adv. Differential Equations*)

Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles (2016) - A. Erhardt (
*J. Math. Anal. Appl.*)

Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth (2016) - T. Esposito (Submitted Paper)

Second-order approximation of free-discontinuity problems with linear growth (2016) - A. Farina - E. Valdinoci (Submitted Paper)

REGULARITY AND RIGIDITY THEOREMS FOR A CLASS OF ANISOTROPIC NONLOCAL OPERATORS (2016) - A. Figalli (Lecture Notes:
*Boll. Unione Mat. Ital.*)

A transportation approach to universality in random matrix theory (2016) - A. Figalli (Accepted Paper:
*J. Diff. Geom.*)

Regularity of codimension-1 minimizing currents under minimal assumptions on the integrand (2016) - A. Figalli - D. Gomes - D. Marcon (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Weak KAM Theory for a Weakly Coupled System of Hamilton-Jacobi Equations (2016) - A. Figalli - A. Guionnet (Accepted Paper:
*Acta Math.*)

Universality in several-matrix models via approximate transport maps (2016) - A. Figalli - D. Jerison (Accepted Paper:
*Chin. Ann. Math.*)

Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume (2016) - A. Figalli - F. Maggi - C. Mooney (Preprint)

The sharp quantitative Euclidean concentration inequality (2016) - A. Figalli - R. Neumayer (Accepted Paper:
*J. Eur. Math. Soc. (JEMS)*)

Gradient stability for the Sobolev inequality: the case $p\geq 2$ (2016) - A. Figalli - J. Palmer - A. Pelayo (Accepted Paper:
*Ann. Scuola Norm. Sup. Pisa Cl. Sci.*)

Symplectic G-capacities and integrable systems (2016) - G. Psaradakis - S. Filippas (
*J. Differential Equations*)

The Hardy-Morrey & Hardy-John-Nirenberg inequalities involving distance to the boundary (2016) - M. Focardi (CRM series 19)

Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture (2016) - M. Focardi - F. Geraci - E. Spadaro (Nonlinear Analysis TMA)

The classical obstacle problem for nonlinear variational energies (2016) - I. Fonseca - N. Fusco - G. Leoni - M. Morini (Submitted Paper)

A model for dislocations in epitaxially strained elastic films (2016) - I. Fonseca - G. Leoni - M. G. Mora (Submitted Paper)

A Second Order Minimality Condition for a Free-Boundary Problem (2016) - V. Franceschi (Submitted Paper)

A minimal partition problem with trace constraint in the Grushin plane (2016) - V. Franceschi (Phd Thesis)

Sharp and Quantitative Isoperimetric Inequalities in Carnot-Carathéodory Spaces (2016) - V. Franceschi - F. Montefalcone - R. Monti (Submitted Paper)

CMC spheres in the Heisenberg group (2016) - G. A. Francfort - A. Giacomini - J. J. Marigo (
*J. Math. Pures Appl.*)

A case study for uniqueness of elasto-plastic evolutions: the bi-axial test (2016) - F. Freddi - F. Iurlano (
*J. Mech. Phys. Solids*)

Numerical insight of a variational smeared approach to cohesive fracture (2016) - F. Freddi - G. Royer Carfagni (Accepted Paper:
*Journal of the Mechanics and Physics of Solids*)

Phase-field slip-line theory of plasticity (2016) - L. Freddi - P. Hornung - M. G. Mora - R. Paroni (
*Journal of Elasticity*)

A corrected Sadowsky functional for inextensible elastic ribbons (2016) - L. Freddi - P. Hornung - M. G. Mora - R. Paroni (
*SIAM J. MATH. ANAL.*)

A variational model for anisotropic and naturally twisted ribbons (2016) - M. Friedrich (Preprint)

A piecewise Korn inequality in $SBD$ and applications to embedding and density results (2016) - M. Friedrich - P. Piovano - U. Stefanelli (Accepted Paper:
*SIAM J. Appl. Math.*)

The geometry of $C_{60}$: a rigorous approach via Molecular Mechanics (2016) - N. Fusco - Y. R. Y. Zhang (Preprint)

A quantitative form of the Faber-Krahn inequality (2016) - M. Galli (Accepted Paper:
*Nonlinear Analysis Series A: Theory, Methods & Applications*)

The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds (2016) - F. Geraci (Submitted Paper)

The Classical Obstacle problem with coefficients in fractional Sobolev spaces (2016) - F. Ghiraldin - L. Spolaor (Submitted Paper)

On the number of singular points for planar multivalued harmonic functions (2016) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator (2016) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

Gaussian states minimize the output entropy of one-mode quantum Gaussian channels (2016) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

One-mode quantum-limited Gaussian channels have Gaussian maximizers (2016) - N. Gigli - B. Han (
*Journal of Functional Analysis*)

Independence on p of weak upper gradients on RCD spaces (2016) - N. Gigli - E. Pasqualetto (Preprint)

Behaviour of the reference measure on $\sf RCD$ spaces under charts (2016) - N. Gigli - E. Pasqualetto (Preprint)

Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces (2016) - M. Goldman - M. Novaga - B. Ruffini (Submitted Paper)

On minimizers of an isoperimetric problem with long-range interactions and convexity constraint (2016) - M. Goldman - E. Runa (Submitted Paper)

On the optimality of stripes in a variational model with non-local interactions (2016) - E. Le Donne - E. Hakavuori (Accepted Paper:
*Inventiones Math.*)

Non-minimality of corners in subriemannian geometry (2016) - H. Hanke - D. Knees (Submitted Paper)

A phase-field damage model based on evolving microstructure (2016) - M. Rinaldi - G. Hayrapetyan (Accepted Paper:
*J. Differential Equations*)

Slow motion for the 1D Swift-Hohenberg equation (2016) - K. Ho - K. Perera - I. Sim - M. Squassina (Preprint:
*J. Fixed Point Theory Applications*)

A note on fractional p-Laplacian problems with singular weights (2016) - A. Iannizzotto - S. J. N. Mosconi - M. Squassina (
*Rev. Mat. Iberoam.*)

Global Holder regularity for the fractional p-Laplacian (2016) - A. Jevnikar - J. Wei - Y. Wen (Accepted Paper:
*Indiana Univ. Math. J.*)

On the Topological degree of the Mean field equation with two parameters (2016) - A. Jevnikar - J. Wei - W. Yang (Accepted Paper:
*Differential and Integral Equations*)

Classification of blow-up limits for the sinh-Gordon equation (2016) - A. Jevnikar - W. Yang (Accepted Paper:
*Proc. Royal Soc. Edinburgh Sect. A*)

A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects (2016) - A. Jevnikar - W. Yang (Accepted Paper:
*Calc. Var. and PDEs*)

Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results (2016) - M. Kell - A. Mondino (Accepted Paper:
*Annali SNS*)

On the volume measure of non-smooth spaces with Ricci curvature bounded below (2016) - C. Ketterer - A. Mondino (Submitted Paper)

Sectional and intermediate Ricci curvature lower bounds via Optimal Transport (2016) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Electron. J. Differential Equations*)

A note on fractional supersolutions (2016) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Math. Ann.*)

Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations (2016) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Hölder continuity up to the boundary for a class of fractional obstacle problems (2016) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Calc. Var. Partial Differential Equations*)

The obstacle problem for nonlinear integro-differential operators (2016) - B. Krummel - F. Maggi (Submitted Paper)

Isoperimetry with upper mean curvature bounds and sharp stability estimates (2016) - T. Kuusi - G. Mingione (Accepted Paper:
*Nonlinear Analysis TMA*)

Nonlinear potential theory of elliptic systems (2016) - T. Kuusi - G. Mingione (
*Journal de l'école polytechnique - mathématiques*)

Partial regularity and potentials (2016) - J. Lamboley - A. Laurain - G. Nadin - Y. Privat (Preprint)

Properties of minimizers of the principal eigenvalue with indefinite weight and robin conditions (2016) - J. Lamboley - A. Novruzi - M. Pierre (
*Journal of Functional Analysis*)

Estimates of First and Second Order Shape Derivatives in Nonsmooth Multidimensional Domains and Applications (2016) - J. Lamboley - M. Pierre

Regularity of Optimal Spectral domains (2016) - G. Lazzaroni - R. Rossi - M. Thomas - R. Toader (
*Journal of Physics: Conference Series*)

Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics (2016) - E. Le Donne (Submitted Paper)

A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries (2016) - E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Accepted Paper:
*Comm. Anal. and Geom.*)

Extremal polynomials in stratified groups (2016) - E. Le Donne - R. Montgomery - A. Ottazzi - P. Pansu - D. Vittone (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Sard Property for the endpoint map on some Carnot groups (2016) - E. Le Donne - G. Speight (
*Calculus of Variations and Partial Differential Equations*)

Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups (2016) - A. Lemenant (Preprint)

Rectifiability of non Euclidean planar self-contracted curves (2016) - G. P. Leonardi - M. Ritoré - E. Vernadakis (Preprint)

Isoperimetric inequalities in unbounded convex bodies (2016) - G. P. Leonardi - G. Saracco (Submitted Paper)

The prescribed mean curvature equation in weakly regular domains (2016) - Q. R. Li - F. Santambrogio - X. J. Wang (Submitted Paper)

Continuity for the Monge mass transfer problem in two dimensions (2016) - Y. Li (
*Frontiers of Mathematics in China*)

Long time existence of Ricci-harmonic flow (2016) - Y. Li (
*Journal of Mathematical Analysis and Applications*)

Mabuchi and Aubin-Yau functionals over complex surfaces (2016) - Y. Li - X. Zhu (
*Journal of Differential Equations*)

Harnack estimates for a heat-type equation under the Ricci flow (2016) - S. Lisini - E. Mainini - A. Segatti (Preprint)

A gradient flow approach to the porous medium equation with fractional pressure (2016) - J. Liu - X. Y. Lu - N. J. Walkington (Accepted Paper:
*Q. Appl. Math.*)

Analysis of a dislocation model for earthquakes (2016) - Z. Liu - M. Squassina - J. Zhang (Accepted Paper:
*NoDEA, Nonlinear Differential Equations Applications*)

Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension (2016) - A. Lorent - G. Peng (Preprint)

Regularity of the Eikonal equation with two vanishing entropies (2016) - J. Louet - A. Pratelli - F. Zeisler (Submitted Paper)

On the continuity of the total cost in the mass transport problem with relativistic cost functions (2016) - X. Y. Lu (Submitted Paper)

On the solutions of a 2+1 dimensional model for epitaxial growth with axial symmetry (2016) - X. Y. Lu (Submitted Paper)

Regularity of optimal configurations for a model with perimeter-to-area ratio penalization. (2016) - X. Y. Lu (Submitted Paper)

Strong solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. (2016) - X. Y. Lu (Submitted Paper)

The regularization effect of Willmore energy (2016) - I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (Submitted Paper)

Confinement of dislocations inside a crystal with a prescribed external strain (2016) - L. Lussardi - M. Röger (
*Arch. Rational Mech. Anal.*)

Gamma convergence of a family of surface-director bending energies with small tilt (2016) - L. Lussardi - E. Villa (
*Proc. Roy. Soc. Edinburgh Sect. A*)

A general formula for the anisotropic outer Minkowski content of a set (2016) - F. Maggi - R. Neumayer (Submitted Paper)

A bridge between Sobolev and Escobar inequalities and beyond (2016) - F. Maggi - E. Valdinoci (Preprint)

Capillarity problems with nonlocal surface tension energies (2016) - G. B. Maggiani (Phd Thesis)

Quasistatic and dynamic evolution problems for thin bodies in perfect plasticity (2016) - V. Magnani - E. Stepanov - D. Trevisan (Preprint)

A rough calculus approach to level sets in the Heisenberg group (2016) - V. Magnani - D. Trevisan (Submitted Paper)

On Lipschitz vector fields and the Cauchy problem in homogeneous groups (2016) - A. Magni - C. Mantegazza - M. Novaga (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Motion by Curvature of Planar Networks II (2016) - E. Mainini - M. Monteverde - E. Oudet - D. Percivale (Submitted Paper)

Newton’s aerodynamic for non convex bodies (2016) - E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli (Submitted Paper)

Carbon-nanotube geometries as optimal configurations (2016) - L. Malý - N. Shanmugalingam (Submitted Paper)

Neumann problem for p-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity (2016) - L. Malý - N. Shanmugalingam - M. Snipes (Accepted: 2016:
*Annali SNS.*)

Trace and extension theorems for functions of bounded variation (2016) - C. Mantegazza

On the Minimality of the Potential Function of a Gradient Shrinking Ricci Soliton (2016) - C. Mantegazza - M. Novaga - A. Pluda (
*Geometric Flows*)

Motion by Curvature of Networks with Two Triple Junctions (2016) - C. Mantegazza - M. Novaga - A. Pluda - F. Schulze (Submitted Paper)

Evolution of Networks with Multiple Junctions (2016) - A. Marchese - A. Massaccesi (
*Advances in Calculus of Variations*)

The Steiner tree problem revisited through rectifiable $G$-currents (2016) - A. Marchese - A. Schioppa (Preprint)

Lipschitz functions with prescribed blowups at many points (2016) - A. Marchese - S. Stuvard (Accepted Paper:
*Adv. Calc. Var.*)

On the structure of flat chains modulo $p$ (2016) - N. Marola - M. Miranda Jr - N. Shanmugalingam (Online First Paper:
*Potential Analysis*)

Characterizations of sets of finite perimeter using heat kernels in metric spaces (2016) - A. Massaccesi - E. Oudet - B. Velichkov (Submitted Paper)

Numerical Calibration of Steiner trees (2016) - A. Massaccesi - D. Vittone (Accepted Paper:
*J. Eur. Math. Soc. (JEMS)*)

An elementary proof of the rank-one theorem for BV functions (2016) - G. Mercier - M. Novaga - P. Pozzi (Submitted Paper)

Anisotropic curvature flow of immersed curves (2016) - A. Mielke - R. Rossi - G. Savaré (Submitted Paper)

Global existence results for viscoplasticity at finite strain (2016) - G. Mingione (Submitted Paper:
*Proceedings of the 7ECM*)

Recent Progresses in Nonlinear Potential Theory (2016) - X. Mingqi - P. Pucci - M. Squassina - B. Zhang (Accepted Paper:
*Discrete Continuous Dynamical Systems A*)

Nonlocal Schrodinger-Kirchhoff equations with external magnetic field (2016) - L. Minotti - G. Savaré (Submitted Paper)

Viscous corrections of the Time Incremental Minimization Scheme and Visco-Energetic Solutions to Rate-Independent Evolution Problems (2016) - A. Mondino - E. Spadaro (Analysis & PDE)

On a isoperimetric-isodiametric inequality (2016) - A. Mondino - G. Wei (Journal für die reine und angewandte mathematik)

On the universal cover and the fundamental group of an $RCD^*(K,N)$-space (2016) - A. Monteil - F. Santambrogio (
*Mathematical Methods in the Applied Sciences*)

Metric methods for heteroclinic connections (2016) - R. Monti - A. Pigati - D. Vittone (Preprint)

Existence of tangent lines to Carnot-Carathéodory geodesics (2016) - R. Monti - G. Stefani (Submitted Paper)

Improved Lipschitz Approximation of $H$-perimeter minimizing boundaries (2016) - M. G. Mora - L. Rondi - L. Scardia (Submitted Paper)

The equilibrium measure for a nonlocal dislocation energy (2016) - C. Muratov - M. Novaga (
*Proc. R. Soc. A*)

On well-posedness of variational models of charged drops (2016) - C. Muratov - M. Novaga - B. Ruffini (Accepted Paper:
*Comm. Pure Appl. Math.*)

On equilibrium shapes of charged flat drops (2016) - M. Rinaldi - R. Murray (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Slow motion for the nonlocal Allen--Cahn equation in $n$-dimensions (2016) - A. R. Mészáros - F. Santambrogio (Accepted Paper:
*Analysis and PDEs*)

Advection-diffusion equations with density constraints (2016) - S. Nardulli - L. E. Osorio Acevedo (Submitted Paper)

Sharp isoperimetric inequalities for small volumes in complete noncompact Riemannian manifolds of bounded geometry involving the scalar curvature (2016) - M. Negri (Preprint)

An $L^2$ gradient flow and its quasi-static limit in phase-field fracture by alternate minimization (2016) - M. Negri (
*Lecture Notes in Applied and Computational Mechanics*)

Quasi-static evolutions in brittle fracture generated by gradient flows: sharp crack and phase-field approaches (2016) - M. Negri - R. Scala (Preprint)

A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface (2016) - M. Negri - E. Vitali (Preprint)

Approximation and characterization of quasi-static $H^1$-evolutions for a cohesive interface with different loading-unloading regimes (2016) - M. Neklyudov - D. Trevisan (preprint)

A particle system approach to cell-cell adhesion models (2016) - L. Nenna (Phd Thesis)

Numerical Methods for Multi-Marginal Optimal Transportation (2016) - R. Neumayer (
*SIAM J. Math. Anal.*)

A strong form of the quantitative Wulff inequality (2016) - S. Nicolussi Golo (Submitted Paper)

Some remarks on contact variations in the first Heisenberg group (2016) - M. Novaga - S. Okabe (
*Nonlinear Analysis: Theory, Methods & Appl.*)

The two obstacle problem for the parabolic biharmonic equation (2016) - M. Novaga - D. Pallara - Y. Sire (
*Discrete Contin. Dyn. Syst. S*)

A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications (2016) - G. Orlando (Phd Thesis)

Some results on cohesive energies: approximation, semicontinuity, and quasistatic evolution (2016) - D. Pagliardini (
*Electronic Journal of Differential Equations*)

Multiplicity of critical points for the fractional Allen-Cahn energy (2016) - E. Paolini - E. Stepanov (Accepted Paper:
*Proc. Royal Soc. Edinburgh Ser. A - Mathematics*)

Flows of measures generated by vector fields (2016) - E. Paolini - A. Tamagnini (Preprint)

Minimal clusters of four planar regions with the same area (2016) - P. Pegon (Accepted Paper)

On the Lagrangian branched transport model and the equivalence with its Eulerian formulation (2016) - K. Perera - M. Squassina (Accepted Paper:
*Comm. Contemporary Math.*)

Existence results for double phase problems via Morse Theory (2016) - M. Petrache - S. Rota-Nodari (Preprint)

Equidistribution of jellium energy for Coulomb and Riesz interactions (2016) - A. Pinamonti (Accepted Paper:
*Elec. Journ. of Diff. Eqns*)

Multiple solutions for possibly degenerate equations in divergence form (2016) - A. Pinamonti - G. Speight (Accepted Paper:
*Journal of Geometric Analysis*)

Porosity, Differentiability and Pansu's Theorem (2016) - A. Pinamonti - G. Speight (Illinois Journal of Math. )

Structure of Porous Sets in Carnot Groups (2016) - A. Pinamonti - M. Squassina - E. Vecchi (Advances in Calculus of Variations)

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula (2016) - A. Pluda (Phd Thesis)

Minimal and Evolving Networks (2016) - D. Spector - A. Ponce (Preprint)

On formulae decoupling the total variation of BV functions (2016) - D. Prandi - L. Rizzi - M. Seri (Preprint)

Quantum confinement on non-complete Riemannian manifolds (2016) - L. Rizzi (
*Calculus of Variations and PDEs*)

Measure contraction properties of Carnot groups (2016) - E. Rocca - R. Scala (Preprint)

A rigorous sharp interface limit of a diffuse interface model related to tumor growth (2016) - R. Rossi (Submitted Paper)

Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity (2016) - R. Rossi (Submitted Paper)

From visco to perfect plasticity in thermoviscoelastic materials (2016) - R. Rossi - M. Thomas (Submitted Paper)

From Adhesive to Brittle Delamination in Visco-Elastodynamics (2016) - M. Ruf (Preprint)

On the continuity of functionals defined on partitions (2016) - F. Santambrogio (Accepted Paper:
*J. Functional Analysis*)

Dealing with moment measures via entropy and optimal transport (2016) - F. Santambrogio - X. J. Wang (Accepted Paper:
*Appl. Math. Letters*)

Convexity of the support of the displacement interpolation: counterexamples (2016) - G. Saracco (Submitted Paper)

Weighted Cheeger sets are domains of isoperimetry (2016) - R. Scala - G. Schimperna (Preprint)

On the viscous Cahn-Hilliard equation with singular potential and inertial term (2016) - C. Scheven - T. Schmidt (
*J. Differ. Equations*)

BV supersolutions to equations of 1-Laplace and minimal surface type (2016) - A. Schikorra - T. T. Shieh - D. Spector (Submitted Paper)

Regularity for a fractional $p$-Laplace equation (2016) - G. Scilla (Preprint)

Motion of discrete interfaces on the triangular lattice (2016) - T. T. Shieh - D. Spector (Submitted Paper)

On a new class of fractional partial differential equations II (2016) - N. Soave - A. Zilio (
*Analysis & PDE*)

Multidimensional entire solutions for an elliptic system modelling phase separation (2016) - N. Soave - A. Zilio (Accepted Paper:
*Annales de l'Institut Henri Poincaré (C) Nonlinear Analysis*)

On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects (2016) - D. Spector (Preprint)

A note on the sublinear Sobolev inequality (2016) - M. Squassina - B. Volzone (Preprint:
*C. R. Math. Acad. Sci. Paris*)

Brezis-Bourgain-Mironescu formula for magnetic operators (2016) - M. Squassina - T. Watanabe (Preprint)

Uniqueness of limit flow for a class of quasi-linear parabolic equations (2016) - G. Stefani (Accepted Paper:
*Journal of Convex Analysis*)

On the monotonicity of perimeter of convex bodies (2016) - E. Stepanov - Y. Teplitskaya (Accepted Paper:
*J. London Math. Soc.*)

Self-contracted curves have finite length (2016) - A. Tamagnini (Phd Thesis)

Planar Clusters (2016) - D. Tewodrose (Submitted Paper)

Weighted Sobolev inequalities in CD(0,N) spaces (2016) - S. Wojtowytsch (Preprint)

Helfrich's Energy and Constrained Minimisation (2016) - C. I. Zeppieri (
*Ann. Mat. Pura Appl.*)

Stochastic homogenisation of singularly-perturbed integral functionals (2016) - P. d'Avenia - M. Squassina (Preprint:
*ESAIM Control Optim. Calc. Var.*)

Ground states for fractional magnetic operators (2016)