**2017**
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- E. Acerbi - N. Fusco - V. Julin - M. Morini (Accepted Paper:
*Journal of Differential Geometry*)

Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow (2017) - E. Acerbi - D. Mucci (
*Milan J. Math.*)

Curvature-dependent energies (2017) - E. Acerbi - D. Mucci (
*Proc. Roy. Soc. Edinburgh Sect. A*)

Curvature-dependent energies: a geometric and analytical approach (2017) - E. Acerbi - D. Mucci (
*Nonlinear Analysis*)

Curvature-dependent energies: the elastic case (2017) - Y. Achdou - M. Bardi - M. Cirant (
*Math. Models Methods Appl. Sci.*)

Mean Field Games models of segregation (2017) - H. Aikawa - A. Bjorn - J. Bjorn - N. Shanmugalingam (Preprint)

DICHOTOMY OF GLOBAL CAPACITY DENSITY IN METRIC MEASURE SPACES (2017) - G. Alberti - M. Ottolini (
*Nonlinear Analysis*)

On the structure of continua with finite length and Golab's semicontinuity theorem (2017) - R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (Submitted paper)

Minimising movements for the motion of discrete screw dislocations along glide directions (2017) - R. Alicandro - G. Lazzaroni - M. Palombaro (
*Calc. Var. Partial Differential Equations*)

On the effect of interactions beyond nearest neighbours on non-convex lattice systems (2017) - L. Ambrosio (Submitted Paper)

Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications (2017) - L. Ambrosio - S. Honda (Submitted Paper)

Local spectral convergence in $RCD^*(K,N)$ spaces (2017) - L. Ambrosio - S. Honda - D. Tewodrose (Submitted Paper)

Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces (2017) - N. Ansini - A. Braides - J. Zimmer (Accepted Paper:
*Proc. Roy. Soc. Edinburgh A*)

Minimising movements for oscillating energies: the critical regime (2017) - A. Arroyo-Rabasa - G. De Philippis - F. Rindler (Submitted Paper)

Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017) - M. Artina - F. Cagnetti - M. Fornasier - F. Solombrino (
*Mathematical Models and Methods in Applied Sciences*)

Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures (2017) - J. F. Babadjian - M. G. Mora (Submitted Paper)

Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion (2017) - A. Bach (Accepted Paper:
*ESAIM: Control Optim. Calc. Var.*)

Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals (2017) - P. Baldi - E. Haus - C. Mantegazza (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

Networks Self-Similarly Moving by Curvature with Two Triple Junctions (2017) - M. Barchiesi - A. Brancolini - V. Julin (
*Ann. Probab.*)

Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality (2017) - M. Barchiesi - D. Henao - C. Mora-Corral (
*Arch. Ration. Mech. Anal.*)

Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity (2017) - D. Barilari - S. Ivanov (Preprint)

A Bonnet-Myers type theorem for quaternionic contact structures (2017) - D. Barilari - L. Rizzi (Preprint)

Sharp measure contraction property for generalized H-type Carnot groups (2017) - P. Baroni - T. Kuusi - C. Lindfors - J. M. Urbano (Submitted Paper)

Existence and boundary regularity for degenerate phase transitions (2017) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Submitted Paper)

Uniqueness of bubbling solutions of mean ﬁeld equations (2017) - G. Bellettini - S. Kholmatov (Submitted Paper)

Minimizing movements for mean curvature flow of partitions (2017) - S. Bianchini - M. Colombo - G. Crippa - L. Spinolo (Submitted Paper)

Optimality of integrability estimates for advection-diffusion equations (2017) - U. Bindini - L. De Pascale (Preprint)

Optimal transport with Coulomb cost and the Semiclassical Limit of Density Functional Theory (2017) - T. Blass - M. Morandotti (Accepted Paper:
*J. Convex Anal.*)

Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear (2017) - P. Bousquet - L. Brasco - C. Leone - A. Verde (Preprint)

On the Lipschitz character of orthotropic $p-$harmonic functions (2017) - A. Braides (Preprint)

Rigidity effects for antiferromagnetic thin films: a prototypical example (2017) - A. Braides - A. Cancedda - V. Chiadò Piat (Accepted Paper:
*ESAIM: Control Optim. Calc. Var.*)

Homogenization of metrics in oscillating manifolds (2017) - A. Braides - A. Causin - A. Piatnitski - M. Solci (Submitted Paper)

Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime (2017) - A. Braides - M. Cicalese (
*Arch. Ration. Mech. Anal.*)

Interfaces, modulated phases and textures in lattice systems (2017) - A. Braides - S. Conti - A. Garroni (Accepted Paper:
*Calc. Var. Partial Diff. Equations*)

Density of polyhedral partitions (2017) - A. Braides - M. S. Gelli (published on line:
*ESAIM: M2AN*)

Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2017) - A. Braides - L. Kreutz (Preprint)

An integral-representation result for continuum limits of discrete energies with multi-body interactions (2017) - L. Brasco - G. Franzina (Preprint)

A pathological example in Nonlinear Spectral Theory (2017) - L. Brasco - G. Franzina - B. Ruffini (Preprint)

Schrödinger operators with negative potentials and Lane-Emden densities (2017) - L. Brasco - F. Santambrogio (Accepted Paper:
*Commun. Contemp. Math.*)

A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian (2017) - E. Bretin - S. Masnou (Accepted Paper:
*Interfaces and Free Boundaries*)

A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics (2017) - T. Buckmaster - C. De Lellis - L. J. Székelyhidi - V. Vicol (Preprint)

Onsager's conjecture for admissible weak solutions (2017) - D. Bucur - I. Fragalà - G. Verzini - B. Velichkov (Submitted Paper)

On the honeycomb conjecture for a class of minimal convex partitions (2017) - D. Bucur - A. Giacomini (Preprint)

Minimization of the k-th eigenvalue of the Robin-Laplacian (2017) - G. Buttazzo - G. Cardone - S. Nazarov (Submitted Paper)

Thin elastic plates supported over small areas II. Variational-asymptotic models. (2017) - G. Buttazzo - S. Guarino Lo Bianco - M. Marini (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Sharp estimates for the anisotropic torsional rigidity and the principal frequency (2017) - G. Buttazzo - B. Velichkov (Submitted Paper)

A shape optimal control problem and its probabilistic counterpart (2017) - F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Submitted Paper)

$\Gamma$-convergence of free-discontinuity problems (2017) - M. Caponi (Preprint SISSA 05/2017/MATE)

Linear hyperbolic systems in domains with growing cracks (2017) - M. Carioni (Submitted Paper)

A discrete coarea-type formula for the Mumford-Shah functional in dimension one (2017) - M. Carioni - A. Pluda (Preprint)

Calibrations for minimal networks in a covering space setting (2017) - J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Submitted Paper)

The ellipse law: Kirchhoff meets dislocations (2017) - D. Castorina - C. Mantegazza (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

Ancient Solutions of Semilinear Heat Equations on Riemannian Manifolds (2017) - G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (
*Pacific J. Math.*)

The Ricci-Bourguignon Flow (2017) - G. Catino - P. Mastrolia - D. Monticelli - M. Rigoli (
*Pac. J. Math.*)

On the geometry of gradient Einstein-type manifolds (2017) - F. Cavalletti - A. Mondino

Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds (2017) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (Submitted Paper)

Minimizers for nonlocal perimeters of Minkowski type (2017) - A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (Submitted Paper)

Existence and uniqueness for anisotropic and crystalline mean curvature flows (2017) - G. Changfeng - A. Jevnikar - A. Moradifam (Submitted Paper)

Symmetry and uniqueness of solutions to some Liouville-type equations and systems (2017) - S. Chen - A. Figalli (Accepted Paper:
*J. Funct. Anal.*)

Partial $W^{2,p}$ regularity for optimal transport maps (2017) - M. Cicalese - M. Ruf - F. Solombrino (Preprint)

Hemihelical local minimizers in prestrained elastic bi-strips (2017) - G. Ciraolo - A. Figalli - F. Maggi (Accepted Paper:
*Int. Math. Res. Not. IMRN*)

A quantitative analysis of metrics on $\mathbb R^n$ with almost constant positive scalar curvature, with applications to fast diffusion flows (2017) - M. Colombo - A. De Rosa - A. Marchese (Preprint)

Improved stability of optimal traffic paths (2017) - M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (Preprint)

On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017) - M. Colombo - A. Figalli - Y. Jhaveri (Accepted Paper:
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Lipschitz changes of variables between perturbations of log-concave measures (2017) - M. Colombo - L. Spolaor (Submitted Paper)

Quantitative estimate on singularities in isoperimetric clusters (2017) - M. Colturato (
*Applied Mathematics & Optimization*)

On a class of conserved phase field systems with a maximal monotone perturbation (2017) - G. E. Comi - K. R. Payne (Submitted Paper)

On locally essentially bounded divergence measure fields and sets of locally finite perimeter (2017) - G. E. Comi - M. Torres (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl*)

One-sided approximation of sets of finite perimeter (2017) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Submitted Paper)

A branched transport limit of the Ginzburg-Landau functional (2017) - S. Costea (Preprint:
*Nonlinear Analysis*)

Sobolev-Lorentz spaces in the Euclidean setting and counterexamples (2017) - V. Crismale - G. Lazzaroni (
*NoDEA Nonlinear Differential Equations Appl.*)

Quasistatic crack growth based on viscous approximation: a model with branching and kinking (2017) - S. Daneri - E. Runa (Submitted Paper)

Exact periodic stripes for minimizers for a local/nonlocal interaction functional in general dimension (2017) - E. Davoli - I. Fonseca (Submitted Paper)

Relaxation of p-growth integral functionals under space-dependent differential constraints (2017) - L. De Luca - G. Friesecke (Accepted paper:
*J. Stat. Phys.*)

Classification of particle numbers with unique Heitmann-Radin minimizer (2017) - L. De Luca - G. Friesecke (Accepted paper:
*J. Nonlinear Sci.*)

Crystallization in two dimensions and a discrete Gauss-Bonnet theorem (2017) - L. De Pascale - J. Louet (Preprint)

A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications (2017) - G. De Philippis - A. De Rosa - F. Ghiraldin (Preprint)

Existence results for minimizers of parametric elliptic functionals (2017) - S. Di Marino - J. Louet (Submitted Paper)

The entropic regularization of the Monge problem on the real line (2017) - S. Dweik (Preprint)

Lack of regularity of the transport density in the Monge problem (2017) - S. Dweik - F. Santambrogio (ESAIM: COCV)

Summability estimates on transport densities with Dirichlet regions on the boundary via symmetrization techniques (2017) - C. Geldhauser - A. Eckrot - Jurczyk (Preprint)

A simulated annealing approach to optimal storing in a multi-level warehouse (2017) - A. Figalli - D. Jerison (Accepted Paper:
*Adv. Math.*)

Quantitative stability for the Brunn-Minkowski inequality (2017) - A. Figalli - B. Krummel - X. Ros-Oton (Accepted Paper:
*J. Differential Equations*)

On the regularity of the free boundary in the p-Laplacian obstacle problem (2017) - A. Fiscella - A. Pinamonti - E. Vecchi (Submitted Paper)

Multiplicity results for magnetic fractional problems (2017) - M. Focardi - E. Spadaro (Submitted Paper)

On the measure and the structure of the free boundary of the lower dimensional obstacle problem (2017) - L. Freddi - P. Hornung - M. G. Mora - R. Paroni (Submitted Paper)

One-dimensional von Kármán models for elastic ribbons (2017) - G. G. Giusteri - L. Lussardi - E. Fried (
*J. Nonlinear Sci.*)

Solution of the Kirchhoff-Plateau problem (2017) - M. Friedrich - F. Solombrino (Accepted Paper:
*Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire*)

Quasistatic crack growth in 2d-linearized elasticity (2017) - G. Fusco - G. F. Gronchi - M. Novaga (Submitted Paper)

On the existence of connecting orbits for critical values of the energy (2017) - G. Fusco - G. F. Gronchi - M. Novaga (Submitted Paper)

On the existence of heteroclinic connections (2017) - N. Fusco - D. Pallara (Submitted Paper)

On the isoperimetric profile for a mixed Euclidean-Log-convex measure (2017) - N. Fusco - D. Spector (Preprint)

A Remark on an Integral Characterization of the Dual of BV (2017) - F. GalazGarcia - M. Kell - A. Mondino - sosa (Preprint)

On quotients of spaces with Ricci curvature bounded below (2017) - Y. Gao - J. G. Liu - X. Y. Lu - X. Xu (Submitted Paper)

Maximal monotone operator in non-reflexive Banach space and the application to thin film equation in epitaxial growth on vicinal surface (2017) - C. Geldhauser - E. Valdinoci (Preprint)

Optimizing the fractional power in a model with stochastic PDE constraints (2017) - N. Gigli (Preprint)

Lecture notes on differential calculus on RCD spaces (2017) - N. Gigli - L. Tamanini (Submitted Paper)

Second order differentiation formula on compact $RCD^*(K,N)$ spaces (2017) - M. Goldman

Self-similar minimizers of a branched transport functional (2017) - M. Goldman - F. Otto (Preprint)

A variational proof of partial regularity for optimal transportation maps (2017) - B. Han - A. Mondino (Submitted Paper)

Angles between curves in metric measure spaces (2017) - A. Henrot - I. Lucardesi - G. Philippin (Submitted Paper)

On two functionals involving the maximum of the torsion function (2017) - A. Henrot - D. Zucco (Submitted Paper)

Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle (2017) - T. Hudson - M. Morandotti (Submitted Paper)

Properties of screw dislocation dynamics: time estimates on boundary and interior collisions (2017) - A. Jevnikar (Accepted Paper:
*J. Diff. Eq.*)

Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities (2017) - Y. Jhaveri - R. Neumayer (Accepted Paper:
*Adv. Math.*)

Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian (2017) - D. Knees - R. Rossi - C. Zanini (Submitted Paper)

Balanced Viscosity solutions to a rate-independent system for damage (2017) - R. Korte - P. Lahti - X. Li - N. Shanmugalingam (Preprint)

Notions of Dirichlet problem for functions of least gradient in metric measure spaces} (2017) - D. A. La Manna (Preprint)

Local minimality of the ball for the Gaussian perimeter (2017) - H. Lavenant (Submitted Paper)

Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation (2017) - H. Lavenant - F. Santambrogio (Preprint)

Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games (2017) - G. Lazzaroni - M. Palombaro - A. Schlömerkemper (
*Discrete Contin. Dyn. Syst. Ser. S*)

Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires (2017) - G. P. Leonardi - R. Neumayer - G. Saracco (Submitted Paper)

The Cheeger constant of a Jordan domain without necks (2017) - X. Y. Lu (Submitted Paper)

Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate (2017) - L. Lussardi - S. Marini - M. Veneroni (Submitted Paper)

Stochastic homogenization of maximal monotone relations and applications (2017) - L. Lussardi - E. Mascolo (
*J. Math. Anal. Appl.*)

A uniqueness result for a class of non strictly convex variational problems (2017) - G. B. Maggiani - M. G. Mora (Submitted Paper)

Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation (2017) - J. Matias - M. Morandotti - E. Zappale (Submitted Paper:
*J. Math. Anal. Appl.*)

Optimal design of fractured media with prescribed macroscopic strain (2017) - D. Mazzoleni - S. Terracini - B. Velichkov (Accepted Paper:
*GAFA*)

Regularity of the optimal sets for some spectral functionals (2017) - G. Mingione (Accepted Paper:
*CIME Lecture Notes, Springer*)

Short Tales from Nonlinear Calderón-Zygmund Theory (2017) - S. Modena (Submitted Paper)

A "forward-in-time" quadratic potential for systems of conservation laws (2017) - M. Morandotti (Submitted Paper)

Structured Deformations of Continua: Theory and Applications (2017) - D. Mucci (Submitted Paper)

The relaxed Hessian energy of mappings into the 4-sphere (2017) - D. Mucci - L. Nicolodi (Accepted Paper:
*J. Nonlinear Sci.*)

On the Landau-de Gennes elastic energy of a Q-tensor model for soft biaxial nematics (2017) - A. R. Mészáros - F. J. Silva (Submitted Paper)

On the variational formulation of some stationary second order mean field games systems (2017) - M. Negri (
*Appl. Math. Optim.*)

A simple derivation and classical representations of energy variations for curved cracks (2017) - H. M. Nguyen - M. Squassina (Preprint)

Logarithmic Sobolev inequality revisited (2017) - H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Submitted Paper)

New characterizations of magnetic Sobolev spaces (2017) - H. M. Nguyen - M. Squassina (Preprint)

Some remarks on rearrangement for nonlocal functionals (2017) - K. Perera - M. Squassina (Submitted Paper)

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity (2017) - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper :
*Journal of Mathematical Analysis and Applications*)

The Maz'ya-Shaposhnikova limit in the magnetic setting (2017) - A. Ponce - D. Spector (Preprint)

A Boxing Inequality for the Fractional Perimeter (2017) - A. Ponosov - E. Stepanov (
*SIAM J. Control and Optimization*)

Smooth dynamics becomes hybrid in the limit (2017) - A. Pratelli - G. Saracco (
*Rev. Mat. Iberoamericana*)

On the generalized Cheeger problem and an application to 2d strips (2017) - A. Prosinski - F. Santambrogio (Accepted Paper:
*Stochastics*)

Global-in-time regularity via duality for congestion-penalized Mean Field Games (2017) - V. Radulescu - M. Squassina (
*Advances in Nonlinear Analysis*)

A festschrift in honor of Professor Patrizia Pucci's 65th birthday (2017) - L. Rizzi - U. Serres (Accepted Paper:
*Proceedings of the AMS*)

On the cut locus of free, step two Carnot groups (2017) - R. Rossi - G. Savaré (Submitted Paper)

From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems (2017) - M. Ruf (Preprint)

Motion of discrete interfaces in low-contrast random environments (2017) - F. Santambrogio (Accepted Paper:
*Bulletin of Mathematical Sciences*)

$\big\{$Euclidean, Metric, and Wasserstein$\big\}$ Gradient Flows: an overview (2017) - F. Santambrogio (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Regularity via duality in calculus of variations and degenerate elliptic PDEs (2017) - C. Scheven - T. Schmidt (Submitted Paper)

On the dual formulation of obstacle problems for the total variation and the area functional (2017) - N. Soave - H. Tavares - S. Terracini - A. Zilio (Submitted Paper)

Variational problems with long-range interaction (2017) - L. Spolaor - B. Velichkov (Submitted Paper)

An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case (2017) - E. Stepanov - D. Trevisan (
*J. Funct. Anal.*)

Three superposition principles: currents, continuity equations and curves of measures (2017) - S. Stuvard (Preprint)

Multiple valued Jacobi fields (2017) - S. Stuvard (Preprint)

Multiple valued sections of vector bundles: the reparametrization theorem for $Q$-valued functions revisited (2017)