**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) - V. Agostiniani - A. Lucantonio - D. Lučić (Preprint)

Heterogeneous elastic plates with in-plane modulation of the target curvature and applications to thin gel sheets (2017) - H. Aikawa - A. Bjorn - J. Bjorn - N. Shanmugalingam (Preprint)

DICHOTOMY OF GLOBAL CAPACITY DENSITY IN METRIC MEASURE SPACES (2017) - G. Alberti - A. Massaccesi (Accepted Paper)

On some geometric properties of currents and Frobenius theorem (2017) - G. Alberti - M. Ottolini (
*Nonlinear Analysis*)

On the structure of continua with finite length and Golab's semicontinuity theorem (2017) - R. Alicandro - G. Dal Maso - G. Lazzaroni - M. Palombaro (Preprint)

Linearisation of multiwell energies (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) - C. Alves - F. Gao - M. Squassina - M. Yang (Accepted Paper:
*J. Differential Equations*)

Singularly perturbed critical Choquard equations (2017) - L. Ambrosio (Submitted Paper)

Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications (2017) - L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper:
*Duke Math. J.*)

On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017) - L. Ambrosio - S. Honda (Submitted Paper)

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

Continuity of nonlinear eigenvalues in $CD(K,\infty)$ spaces with respect to measured Gromov-Hausdorff convergence (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) - P. Antonini - G. De Philippis - N. Gigli (Submitted Paper)

The injectivity radius of Lie manifolds (2017) - C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (preprint)

Optimal constants for a non-local approximation of Sobolev norms and total variation (2017) - A. H. Ardila - M. Squassina (Preprint)

Gausson dynamics for logarithmic Schrodinger equations (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) - A. Barbagallo - G. Scilla (Accepted Paper:
*J. Math. Anal. Appl.*)

Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model (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) - E. Bardelli - A. C. G. Mennucci (
*Journal of Geometric Mechanics*)

Probability measures on infinite dimensional Stiefel manifolds (2017) - M. Bardi - M. Cirant (Submitted Paper)

Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions (2017) - M. Bardi - M. Fischer (Submitted Paper)

On non-uniqueness and uniqueness of solutions in finite-horizon Mean Field Games (2017) - D. Barilari - U. Boscain - R. W. Neel (Accepted Paper:
*Annales de la Faculté des Sciences de Toulouse*)

Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group (2017) - D. Barilari - S. Ivanov (Preprint)

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

On Jacobi fields and a canonical connection in sub-Riemannian geometry (2017) - D. Barilari - L. Rizzi (Preprint)

Sharp measure contraction property for generalized H-type Carnot groups (2017) - D. Barilari - L. Rizzi (Preprint)

Sub-Riemannian interpolation inequalities: ideal structures (2017) - P. Baroni - T. Kuusi - C. Lindfors - J. M. Urbano (Submitted Paper)

Existence and boundary regularity for degenerate phase transitions (2017) - B. Barrios - A. Figalli - X. Ros-Oton (Accepted Paper:
*Comm. Pure Appl. Math.*)

Free boundary regularity in the parabolic fractional obstacle problem (2017) - B. Barrios - A. Figalli - X. Ros-Oton (Accepted Paper:
*Amer. J. Math.*)

Global regularity for the free boundary in the obstacle problem for the fractional Laplacian (2017) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen (
*Math. Mech. Complex Syst.*)

Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations (2017) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen (
*Arch. Rational Mech. Anal.*)

Second-order structured deformations: relaxation, integral representation and applications (2017) - S. Bartels - G. Buttazzo (Submitted Paper)

Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation (2017) - D. Bartolucci - D. Castorina (Accepted Paper:
*Annali della Scuola Normale Superiore di Pisa-Classe di Scienze*)

On a singular Liouville-type equation and the Alexandrov isoperimetric inequality (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) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)

Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone (2017) - R. Benedetti - C. Mantegazza (Preprint)

La congettura di Poincaré e il flusso di Ricci (2017) - S. Bianchini - M. Colombo - G. Crippa - L. V. Spinolo (Submitted Paper)

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

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

Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear (2017) - B. Bogosel - D. Bucur - I. Fragalà (Submitted Paper)

Phase field approach to optimal packing problems and related Cheeger clusters (2017) - G. A. Bonaschi - P. van Meurs - M. Morandotti (
*Eur. J. Appl. Math.*)

Dynamics of screw dislocations: a generalised minimising-movements scheme approach (2017) - M. Bongini - M. Fornasier - F. Rossi - F. Solombrino (Accepted Paper:
*Journal of Optimization Theory and Applications*)

Mean-field Pontryagin Maximum Principle (2017) - U. Boscain - R. Neel - L. Rizzi (
*Adv. Math.*)

Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry (2017) - D. Bourne - S. Conti - S. Müller (
*Journal of Nonlinear Science*)

Energy Bounds for a Compressed Elastic Film on a Substrate (2017) - D. Bourne - D. Cushing - S. Liu - F. Münch - N. Peyerimhoff (Submitted Paper)

Ollivier-Ricci idleness functions of graphs (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 (
*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) - A. Braides - A. Malusa - M. Novaga (Submitted Paper)

Crystalline evolutions with rapidly oscillating forcing terms (2017) - A. Brancolini - B. Wirth (Accepted Paper:
*SIAM J. Math. Anal.*)

Optimal micropatterns in transport networks (2017) - L. Brasco - G. Franzina (Accepted Paper:
*Adv. Nonlinear Anal.*)

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

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) - L. Brasco - M. Squassina (Submitted Paper)

Optimal solvability for a nonlocal problem at critical growth (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 (Preprint)

On the honeycomb conjecture for Robin Laplacian eigenvalues (2017) - D. Bucur - I. Fragalà (Submitted Paper)

Proof of the honeycomb asymptotics for optimal Cheeger clusters (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) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)

Best constant in Poincaré inequalities with traces: a free discontinuity approach (2017) - G. Buttazzo - G. Cardone - S. Nazarov (Submitted Paper)

Thin elastic plates supported over small areas II. Variational-asymptotic models. (2017) - G. Buttazzo - G. Carlier - M. Laborde (Submitted Paper)

On the Wasserstein distance between mutually singular measures (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) - G. Buttazzo - B. Velichkov

Spectral optimization problems for Schrödinger operators (2017) - F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Submitted Paper)

$\Gamma$-convergence of free-discontinuity problems (2017) - M. Caponi (
*Milan J. Math.*)

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) - M. Caroccia - S. Littig (Preprint)

The Cheeger N-problem in terms of BV functions (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) - D. Castorina - C. Mantegazza (Submitted Paper)

Ancient solutions of superlinear 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 (Submitted Paper)

A potential generalization of some canonical Riemannian metrics (2017) - G. Catino - P. Mastrolia - D. D. Monticelli (
*J. Math. Pures Appl.*)

Gradient Ricci solitons with vanishing conditions on Weyl (2017) - G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (
*Pac. J. Math.*)

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

Quantitative isoperimetry à la Levy-Gromov (2017) - F. Cavalletti - A. Mondino

Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds (2017) - A. Cesaroni - M. Cirant (Submitted Paper)

Concentration of ground states in stationary Mean-Field Games systems (2017) - A. Cesaroni - M. Cirant - S. Dipierro - M. Novaga - E. Valdinoci (Submitted Paper)

On stationary fractional Mean Field Games (2017) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (Submitted Paper)

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

The isoperimetric problem for nonlocal perimeters (2017) - A. Chambolle - V. Crismale (preprint)

A density result in $GSBD^p$ with applications to the approximation of brittle fracture energies (2017) - A. Chambolle - L. Ferrari - B. Merlet (Advances in Calculus of Variations:
*Advances in Calculus of Variations*)

A phase-field approximation for the Steiner problem in dimension two (2017) - A. Chambolle - J. Lamboley - A. Lemenant - E. Stepanov (
*SIAM J. Math. Anal.*)

Regularity for the optimal compliance problem with length penalization (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 - N. Fusco (Submitted Paper)

A note on relaxation with constraints on the determinant (2017) - M. Cicalese - M. Ruf - F. Solombrino (Preprint)

Hemihelical local minimizers in prestrained elastic bi-strips (2017) - M. Cicalese - M. Ruf - F. Solombrino (Accepted Paper:
*Calc. Var Pdes*)

On global and local minimizers of prestrained thin elastic rods (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) - P. Colli - M. Colturato (Submitted Paper)

Global existence for a singular phase field system related to a sliding mode control problem (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. Colombo - L. Spolaor - B. Velichkov (Preprint)

A logarithmic epiperimetric inequality for the obstacle problem (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. Focardi - F. Iurlano (Submitted Paper)

Approximation of fracture energies with $p$-growth via piecewise affine finite elements (2017) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Submitted Paper)

A branched transport limit of the Ginzburg-Landau functional (2017) - S. Costea (preprint)

Sobolev-Lorentz capacity and its regularity in the Euclidean setting (2017) - S. Costea (Preprint:
*Nonlinear Analysis*)

Sobolev-Lorentz spaces in the Euclidean setting and counterexamples (2017) - V. De Cicco - G. Crasta (Submitted Paper)

Anzellotti's pairing theory and the Gauss-Green theorem (2017) - V. Crismale - G. Lazzaroni (
*NoDEA Nonlinear Differential Equations Appl.*)

Quasistatic crack growth based on viscous approximation: a model with branching and kinking (2017) - V. Crismale - G. Orlando (preprint)

A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,n}$ (2017) - G. Cupini - N. Fusco - E. Lanconelli (Submitted Paper)

A sharp stability result for the Gauss mean value formula (2017) - G. Dal Maso - M. Morandotti (
*Nonlinear Anal.*)

A model for the quasistatic growth of cracks with fractional dimension (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) - E. Davoli - P. Piovano (Submitted Paper)

Analytical validation of the Young-Dupré law for epitaxially-strained thin films (2017) - V. De Cicco - D. Giachetti - S. Segura de León (Submitted Paper)

Elliptic problems involving the 1-Laplacian and a singular lower order term (2017) - C. De Lellis - L. J. Székelyhidi (
*Bull. Amer. Math. Soc. (N.S.)*)

High dimensionality and h-principle in PDE (2017) - C. De Lellis - L. J. Székelyhidi (Accepted Paper)

John Nash's nonlinear iteration (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 (Submitted Paper)

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) - G. De Philippis - N. Gigli (Preprint)

Non-collapsed spaces with Ricci curvature bounded from below (2017) - N. De Ponti (preprint)

A concentration result on submanifolds of compact positively curved homogeneous spaces (2017) - A. De Rosa - S. Gioffrè (Preprint)

Quantitative stability for anisotropic nearly umbilical hypersurfaces (2017) - M. Degiovanni - A. Pluda (Accepted Paper)

Nontrivial solutions of quasilinear elliptic equations with natural growth conditions (2017) - M. Delgadino - F. Maggi - C. Mihaila - R. Neumayer (Preprint)

Bubbling with $L^2$-almost constant mean curvature and an Alexandrov-type theorem for crystals (2017) - S. Di Marino - J. Louet (Submitted Paper)

The entropic regularization of the Monge problem on the real line (2017) - N. Dirr - F. Dragoni - P. Mannucci - C. Marchi (Submitted Paper)

Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations (2017) - F. Dragoni - E. Feleqi (Submitted Paper)

PDEs from ergodic Mean Field Games with Hoermander diffusions (2017) - S. Dweik (Preprint)

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

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

A simulated annealing approach to optimal storing in a multi-level warehouse (2017) - A. Farina - B. Sciunzi - N. Soave (Submitted Paper)

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits (2017) - F. Ferrari - M. J. Miranda - D. Pallara - A. Pinamonti - Y. Sire (Accepted Paper: DCDS-S)

Fractional Laplacians, perimeters and heat semigroups in Carnot groups (2017) - A. Figalli - D. Jerison (Accepted Paper:
*Adv. Math.*)

Quantitative stability for the Brunn-Minkowski inequality (2017) - A. Figalli - M. J. Kang - J. Morales (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow (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 (Accepted Paper:
*Journal of Differential Equations*)

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) - M. Fogagnolo - R. Monti - D. Vittone (
*Ann. Ac. Sci. Fennicae*)

Variation formulas for H-rectifiable sets (2017) - G. A. Francfort - M. G. Mora (Submitted Paper)

Quasistatic evolution in non-associative plasticity revisited (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 - E. Mainini - P. Piovano - U. Stefanelli (Submitted Paper)

Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (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 - V. Julin - M. Morini (Submitted Paper)

The surface diffusion flow with elasticity in the plane (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. Galaz-Garcia - 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) - M. Ghisi - M. Gobbino - G. Rovellini (preprint)

Symmetry-breaking in a generalized Wirtinger inequality (2017) - L. Giacomelli - S. Moll - F. Petitta (Submitted Paper:
*Comm. Partial Differential Equations*)

Optimal waiting time bounds for flux-saturated diffusion equations (2017) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels (2017) - Giacomo De Palma - D. Trevisan (preprint)

The Entropy Power Inequality with quantum memory (2017) - N. Gigli (Preprint)

Lecture notes on differential calculus on RCD spaces (2017) - N. Gigli - C. Rigoni (Preprint)

A note about the strong maximum principle on $RCD$ spaces (2017) - N. Gigli - C. Rigoni (Submitted Paper)

Recognizing the flat torus among $RCD^*(0,N)$ spaces via the study of the first cohomology group (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) - J. Goodman - D. Spector (Preprint)

Some remarks on boundary operators of Bessel extensions (2017) - P. J. Graber - A. R. Mészáros (Preprint)

Sobolev regularity for first order Mean Field Games (2017) - D. Guidetti - B. Güneysu - D. Pallara (
*Ann. Acad. Sci. Fenn. Math.*)

$L^1$-elliptic regularity and $H=W$ on the whole $L^p$-scale on arbitrary manifolds (2017) - B. Han (Accepted Paper:
*The Journal of Geometric Analysis*)

Ricci tensor on ${\rm RCD}^*(K, N)$ spaces (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) - J. Hirsch - S. Stuvard - D. Valtorta (preprint)

Rectifiability of the singular set of multiple valued energy minimizing harmonic maps (2017) - José A. Carrillo - F. Hoffmann - E. Mainini - B. Volzone (preprint)

Ground States in the Diffusion-Dominated Regime (2017) - T. Hudson - M. Morandotti (Accepted Paper:
*SIAM J. Appl. Math*)

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) - I. Kim - A. R. Mészáros (Submitted Paper)

On nonlinear cross-diffusion systems: an optimal transport approach (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) - N. Shanmugalingam - P. Lahti - L. Malý - G. Speight (Preprint)

Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient (2017) - H. Lavenant (Submitted Paper)

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

Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games (2017) - G. Lazzaroni - L. Nardini (Accepted Paper:
*J. Nonlinear Sci.*)

On the quasistatic limit of dynamic evolutions for a peeling test in dimension one (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. Lazzaroni - U. Stefanelli (Preprint)

Chain-like ground states in three dimensions (2017) - E. Le Donne - A. Pinamonti - G. Speight (Submitted Paper)

Universal differentiability sets and maximal directional derivatives in Carnot groups (2017) - G. P. Leonardi - R. Neumayer - G. Saracco (Submitted Paper)

The Cheeger constant of a Jordan domain without necks (2017) - G. P. Leonardi - G. Saracco (Preprint)

Rigidity and trace properties of divergence-measure vector fields (2017) - G. Leoni - R. Murray (Submitted Paper)

A Note Regarding Second-Order $\Gamma$-limits for the Cahn--Hilliard Functional (2017) - A. Lerario - L. Rizzi (
*Journal of symplectic geometry*)

How many geodesics join two points on a contact sub-Riemannian manifold? (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) - V. Magnani (
*Indiana Univ. Math. J.*)

A new differentiation, shape of the unit ball and perimeter measure (2017) - V. Magnani - A. Pinamonti - G. Speight (Submitted Paper)

Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2017) - V. Magnani - A. Zapadinskaya (
*Selecta Math. (N.S.)*)

A Gromov's dimension comparison estimate for rectifiable sets (2017) - E. Mainini - M. Monteverde - E. Oudet - D. Percivale (Preprint)

The minimal resistance problem in a class of non convex bodies (2017) - A. Malchiodi - R. Mandel - M. Rizzi (Preprint)

Periodic solutions to the Cahn-Hilliard equation in the plane (2017) - R. March - G. Riey (Preprint)

Analysis of a variational model for motion compensated inpainting (2017) - A. Marchese (Preprint)

On the structure of singular measures in the Euclidean space (2017) - A. Marchese (Preprint)

Residually many BV homeomorphisms map a null set in a set of full measure (2017) - E. Marconi (Preprint)

Regularity estimates for scalar conservation laws in one space dimension (2017) - J. Matias - M. Morandotti - E. Zappale (
*J. Math. Anal. Appl.*)

Optimal design of fractured media with prescribed macroscopic strain (2017) - D. Mazzoleni - A. Pratelli (Preprint)

Some estimates for the higher eigenvalues of sets close to the ball (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 (Accepted Paper:
*Nonlinear Differential Equations and Applications*)

A "forward-in-time" quadratic potential for systems of conservation laws (2017) - R. Monti - A. Pigati - D. Vittone (Preprint)

On tangent cones to length minimizers in Carnot-Carathéodory spaces (2017) - M. Morandotti (Accepted Paper:
*Proceedings of the conference CoMFoS16*)

Structured Deformations of Continua: Theory and Applications (2017) - M. Morini - V. Slastikov (Submitted Paper)

Reduced models for ferromagnetic thin films with periodic surface roughness (2017) - D. Mucci - L. Nicolodi (
*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) - L. Nardini (
*Journal of Dynamics and Differential Equations*)

A note on the convergence of singularly perturbed second order potential-type equations (2017) - M. Negri (
*Appl. Math. Optim.*)

A simple derivation and classical representations of energy variations for curved cracks (2017) - H. M. Nguyen - Q. H. Nguyen (
*Calculus of Variations and Partial Differential Equations*)

Discreteness of interior transmission eigenvalues 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)

Logarithmic Sobolev inequality revisited (2017) - H. M. Nguyen - M. Squassina (Submitted Paper)

Some remarks on rearrangement for nonlocal functionals (2017) - Q. H. Nguyen (Submitted Paper)

Gradient estimates for singular quasilinear elliptic equations with measure data (2017) - Q. H. Nguyen (Submitted Paper)

Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients (2017) - M. F. Véron - Q. H. Nguyen - L. Véron (Submitted Paper)

Quasilinear and Hessian Lane-Emden type systems with measure data (2017) - D. Pagliardini (Submitted Paper)

Minimality via second variation for a functional involving fractional perimeter (2017) - E. Paolini (
*Matematica, cultura e società*)

Dehn e Banach-Tarski: opposti paradossi (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. Ponce - D. Spector (Preprint)

A note on the Fractional Perimeter and Interpolation (2017) - A. Ponosov - E. Stepanov (
*SIAM J. Control and Optimization*)

Smooth dynamics becomes hybrid in the limit (2017) - A. Pratelli - E. Radici (Preprint)

Approximation of planar BV homeomorphisms by diffeomorphisms (2017) - A. Pratelli - E. Radici (Preprint)

On the planar minimal BV extension problem (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) - V. Recupero - F. Santambrogio (Preprint)

Sweeping processes with prescribed behaviour on jumps (2017) - L. Rizzi - U. Serres (
*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) - R. Rossi - M. Thomas (Submitted Paper)

From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination (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) - R. Scala (Submitted Paper)

Optimal estimates for the triple junction function and other surprising aspects of the area functional (2017) - C. Scheven - T. Schmidt (Accepted Paper:
*Ann. Inst. Henri Poincaré, Anal. Non Linéaire*)

On the dual formulation of obstacle problems for the total variation and the area functional (2017) - G. Scilla - V. Vallocchia (Submitted Paper)

Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions (2017) - N. Soave - H. Tavares - S. Terracini - A. Zilio (Submitted Paper)

Variational problems with long-range interaction (2017) - N. Soave - T. Weth (Submitted Paper)

The unique continuation property of sublinear equations (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) - A. Tribuzio (Preprint)

Perturbations of Minimizing Movements and Curves of Maximal Slope (2017)