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- R. Adami - U. Boscain - V. Franceschi - D. Prandi (Submitted Paper)

Point interactions for 3D sub-Laplacians (2019) - D. Addona - G. Menegatti - M. Miranda Jr (Submitted Paper)

Characterization of BV functions on open domains: the Gaussian case and the general case (2019) - C. Afeltra (preprint)

Singular periodic solutions to a critical equation in the Heisenberg group (2019) - V. Agostiniani - M. Fogagnolo - L. Mazzieri (preprint)

Minkowski Inequalities via Nonlinear Potential Theory (2019) - A. Agrachev - D. Barilari - U. Boscain (Book:
*Cambridge Studies in Advanced Mathematics, Cambridge Univ. Press*)

A Comprehensive Introduction to Sub-Riemannian Geometry (2019) - G. Alberti - G. Buttazzo - S. Guarino Lo Bianco - E. Oudet (Accepted Paper:
*Networks and Heterogeneous Media*)

Optimal reinforcing networks for elastic membranes (2019) - G. Alberti - A. Massaccesi - E. Stepanov (Submitted Paper)

On the geometric structure of currents tangent to smooth distributions (2019) - G. Alberti - E. Stepanov - D. Trevisan (Preprint)

Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô and Stratonovich (2019) - G. Albi - M. Bongini - F. Rossi - F. Solombrino (
*Mathematical Models and Methods in Applied Sciences*)

Leader formation with mean-field birth and death models (2019) - R. Alessi - V. Crismale - G. Orlando (
*J. Nonlinear Sci.*)

Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach (2019) - F. Alessio - P. Montecchiari - A. Zuniga (Submitted Paper)

Prescribed-energy connecting orbits for gradient systems (2019) - L. Ambrosio - F. Glaudo - D. Trevisan (Preprint)

On the optimal map in the 2-dimensional random matching problem (2019) - V. Ambrosio - L. Freddi - R. Musina (Submitted Paper)

Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded (2019) - D. Pallara - L. Angiuli - S. Ferrari (Accepted Paper:
*J. Evol. Equ.*)

Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains (2019) - N. Ansini - A. Braides - J. Zimmer (
*Proc. Roy. Soc. Edinburgh A*)

Minimising movements for oscillating energies: the critical regime (2019) - N. Ansini - S. Fagioli (Accepted Paper:
*Comm Math Sci.*)

Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation (2019) - G. Antonelli - E. Bruè - D. Semola (Accepted Paper:
*Anal. Geom. Metr. Spaces*)

Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces (2019) - G. Antonelli - E. Le Donne (preprint)

Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces (2019) - A. H. Ardila - L. Cely - M. Squassina (Accepted Paper:
*Asymptotic Anal.*)

Logarithmic Bose-Einstein condensates with harmonic potential (2019) - A. Arroyo-Rabasa (preprint)

Characterization of generalized Young measures generated by $\mathcal A$-free measures (2019) - A. Arroyo-Rabasa - J. Diermeier (preprint)

Generalized multi-scale Young measures (2019) - A. Arroyo-Rabasa - A. Skorobogatova (Preprint)

On the fine properties of elliptic operators (2019) - J. F. Babadjian - V. Crismale (preprint)

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity (2019) - J. F. Babadjian - F. Iurlano - A. Lemenant (Preprint)

Partial regularity for the crack set minimizing the two-dimensional Griffith energy (2019) - J. F. Babadjian - F. Iurlano - F. Rindler (Preprint)

Concentration versus oscillation effects in brittle damage (2019) - A. Bach - A. Braides - M. Cicalese (Preprint)

Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (2019) - A. Bach - M. Cicalese - M. Ruf (preprint)

Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (2019) - A. Bach - L. Sommer (Preprint)

A $\Gamma$-convergence result for fluid-filled fracture propagation (2019) - H. Bahouri - D. Barilari - I. Gallagher (Preprint)

Strichartz estimates and Fourier restriction theorems on the Heisenberg group (2019) - A. Baldi - G. Citti - G. Cupini (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Schauder estimates at the boundary for sub-laplacians in Carnot groups (2019) - A. Baldi - B. Franchi - P. Pansu (Submitted Paper)

{$L^1$-{P}oincar\'e inequalities for differential forms on {E}uclidean spaces and {H}eisenberg groups} (2019) - P. Baldi - E. Haus - C. Mantegazza (
*Math. Ann.*)

Existence of a Lens–Shaped Cluster of Surfaces Self–Shrinking by Mean Curvature (2019) - M. Barchiesi - V. Julin (Accepted Paper:
*Probab. Theory Related Fields*)

Symmetry of minimizers of a Gaussian isoperimetric problem (2019) - M. Bardi - A. Cesaroni - E. Topp (
*Proc. Roy. Soc. Edinburgh Sect. A*)

Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms (2019) - M. Bardi - A. Goffi (
*Calc. Var. Partial Differential Equations*)

New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs (2019) - D. Barilari - S. Ivanov (
*Calc. Var. PDE*)

A Bonnet-Myers type theorem for quaternionic contact structures (2019) - D. Barilari - M. Kohli (Preprint)

On sub-Riemannian geodesic curvature in dimension three (2019) - D. Barilari - L. Rizzi (Preprint)

Bakry-Émery curvature and model spaces in sub-Riemannian geometry (2019) - D. Bartolucci - C. Gui - Y. Hu - A. Jevnikar - W. Yang (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions (2019) - D. Bartolucci - A. Jevnikar (Preprint)

On the global bifurcation diagram of the Gel'fand problem (2019) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Preprint)

Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data (2019) - E. Battaglia - F. Montefalcone - R. Monti (Submitted Paper)

Stability of hypersurfaces in the complex hyperbolic space (2019) - E. Battaglia - R. Monti - A. Righini (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Stable hypersurfaces in the complex projective space (2019) - F. Baudoin - E. Grong - G. Molino - L. Rizzi (preprint)

Comparison theorems on H-type sub-Riemannian manifolds (2019) - C. Bellettini - E. Le Donne (preprint)

Sets with constant normal in Carnot groups: properties and examples (2019) - G. Bellettini - A. Elshorbagy (Submitted Paper)

On the square distance function from a manifold with boundary (2019) - G. Bellettini - A. Elshorbagy - M. Paolini - R. Scala (Preprint)

On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (2019) - V. Benci - S. Nardulli - P. Piccione (Submitted Paper)

Multiple solutions for the Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint (2019) - P. Bettiol - C. Mariconda (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

On a new necessary condition in the Calculus of Variations for Lagrangians that are highly discontinuous in the state and velocity (2019) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Submitted Paper)

Dimensional reduction of the Kirchhoff-Plateau problem (2019) - G. Bevilacqua - L. Lussardi - A. Marzocchi (
*Quart. Appl. Math.*)

Soap film spanning an elastic link (2019) - S. Biagi - G. Cupini - E. Mascolo (Submitted Paper)

Regularity of quasi-minimizers for non-uniformly elliptic integrals (2019) - S. Bianchini - P. Bonicatto (Proceedings)

Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture (2019) - U. Bindini (preprint)

Smoothing operators in multi-marginal Optimal Transport (2019) - U. Bindini - L. De Pascale (preprint)

From wave-functions to single electron densities (2019) - F. Boarotto - R. Monti - F. Palmurella (Submitted Paper)

Third order open mapping theorems and applications to the end-point map (2019) - F. Boarotto - D. Vittone (preprint)

A dynamical approach to the Sard problem in Carnot groups (2019) - M. Bonacini - E. Davoli - M. Morandotti (
*NoDEA*)

Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films (2019) - M. Bonafini - M. Novaga - G. Orlandi (
*Nonlinear Analysis*)

A variational scheme for hyperbolic obstacle problems (2019) - M. Bonafini - G. Orlandi - E. Oudet (Submitted Paper)

Variational approximation of functionals defined on 1-dimensional connected sets in $\mathbb{R}^n$ (2019) - G. A. Bonaschi - R. Rossi (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Generation of Balanced Viscosity solutions to rate-independent systems via variational convergence (2019) - M. Bonforte - A. Figalli (Accepted Paper:
*Comm. Pure Appl. Math.*)

Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains (2019) - P. Bonicatto - E. Marconi (Submitted Paper)

Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$ (2019) - P. Bonicatto - E. Pasqualetto - T. Rajala (Preprint)

Indecomposable sets of finite perimeter in doubling metric measure spaces (2019) - W. Borrelli - R. L. Frank (Accepted Paper:
*Trans. Amer. Math. Soc.*)

Sharp decay estimates for critical Dirac equations (2019) - G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Preprint)

Relaxed multi-marginal costs and quantization effects (2019) - P. Bousquet - L. Brasco (Accepted Paper:
*Rev. Mat. Iberoam.*)

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions (2019) - J. E. M. Braga - A. Figalli - D. Moreira (Accepted Paper:
*Comm. Math. Phys.*)

Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations (2019) - A. Braides - P. Cermelli - S. Dovetta (Accepted Paper:
*ESAIM: Control, Optimization and Calculus of Variations*)

$\Gamma$-limit of the cut functional on dense graph sequences (2019) - A. Braides - V. Chiadò Piat (
*Applicable Analysis*)

Homogenization of networks in domains with oscillating boundaries (2019) - A. Braides - N. A. Nodargi (Accepted Paper:
*Math. Mech. Solids*)

Homogenization of cohesive fracture in masonry structures (2019) - A. Braides - A. Piatnitski (Preprint)

Homogenization of quadratic convolution energies in periodically perforated domains (2019) - A. Braides - A. Piatnitski (Preprint)

Homogenization of random convolution energies in heterogeneous and perforated domains (2019) - A. Braides - M. Solci (Preprint)

Compactness by coarse-graining in long-range lattice systems (2019) - A. Braides - A. Tribuzio (Accepted Paper:
*Discrete and Continuous Dynamical Systems Series S*)

Perturbed minimizing movements of families of functionals (2019) - L. Brasco (Accepted Paper:
*Ann. Fac. Sci. Toulouse Math.*)

On principal frequencies and isoperimetric ratios in convex sets (2019) - L. Brasco - E. Cinti - S. Vita (Preprint)

A quantitative stability estimate for the fractional Faber-Krahn inequality (2019) - L. Brasco - G. De Philippis - G. Franzina (Preprint)

Positive solutions to the sublinear Lane-Emden equation are isolated (2019) - L. Brasco - G. Franzina (Accepted Paper:
*Rendiconti Sem. Mat. Univ. Pol. Torino*)

An overview on constrained critical points of Dirichlet integrals (2019) - L. Brasco - E. Lindgren - M. Stromqvist (Preprint)

Continuity of solutions to a nonlinear fractional diffusion equation (2019) - L. Brasco - D. Mazzoleni (Preprint)

On principal frequencies, volume and inradius in convex sets (2019) - K. Brazda - L. Lussardi - U. Stefanelli (Submitted Paper)

Existence of varifold minimizers for the multiphase Canham-Helfrich functional (2019) - K. Bredies - M. Carioni (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Sparsity of solutions for variational inverse problems with finite-dimensional data (2019) - K. Bredies - M. Carioni - S. Fanzon - F. Romero (Submitted Paper)

On the extremal points of the ball of the Benamou-Brenier energy (2019) - K. Bredies - S. Fanzon (Submitted Paper)

An optimal transport approach for solving dynamic inverse problems in spaces of measures (2019) - E. Bruè - Q. H. Nguyen (Preprint)

Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts (2019) - E. Bruè - E. Pasqualetto - D. Semola (Preprint)

Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces (2019) - C. Bucur - M. Squassina (Preprint)

Approximate convexity principles and applications to PDEs in convex domains (2019) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)

The Multiphase Mumford-Shah Problem (2019) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)

$L^\infty$ bounds of Steklov eigenfunctions and spectrum stability under domain variation (2019) - V. Buffa - G. E. Comi - M. Miranda Jr (Submitted Paper)

On $BV$ functions and essentially bounded divergence-measure fields in metric spaces (2019) - V. Buffa - M. Miranda Jr (Submitted Paper)

Rough traces of $BV$ functions in metric measure spaces (2019) - B. Bulanyi - A. Lemenant (Submitted Paper)

Regularity for the planar optimal $p$-compliance problem (2019) - L. Bungert - M. Burger - A. Chambolle - M. Novaga (Accepted Paper:
*Anal. PDE*)

Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals (2019) - G. Buttazzo - J. Casado-Diaz - F. Maestre (Preprint)

On the existence of optimal potentials on unbounded domains (2019) - M. van den Berg - G. Buttazzo - A. Pratelli (Submitted Paper)

On the relations between principal eigenvalue and torsional rigidity (2019) - L. Bétermin - L. De Luca - M. Petrache (Submitted Paper)

Crystallization to the square lattice for a two body potential (2019) - F. Cagnetti (Accepted Paper:
*Portugaliae Mathematica*)

Rigidity for Perimeter Inequalities under symmetrization: state of the art and open problems (2019) - F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Stochastic Homogenisation of Free-Discontinuity Problems (2019) - F. Cagnetti - M. Perugini - D. Stöger (Submitted Paper)

Rigidity for perimeter inequality under spherical symmetrisation (2019) - F. Camilli - A. Goffi (Submitted Paper)

Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative (2019) - G. Canevari - G. Orlandi (Submitted Paper)

Lifting for manifold-valued maps of bounded variation (2019) - G. Canevari - G. Orlandi (Accepted Paper:
*Calc. Var. PDE*)

Topological singular set of vector-valued maps, I: Applications to manifold-constrained Sobolev and BV spaces (2019) - P. Cannarsa - G. Floridia - F. F. G\"olgeleyen - M. Yamamoto (Preprint)

Inverse coefficient problems for a transport equation by local Carleman estimate (2019) - P. Cannarsa - G. Floridia - F. G\"olgeleyen - M. Yamamoto (Preprint)

Inverse coefficient problems for a transport equation by local Carleman estimate (2019) - P. Cannarsa - G. Floridia - F. G\"olgeleyen - M. Yamamoto (Preprint)

Inverse coefficient problems for a transport equation by local Carleman estimate (2019) - A. Pinamonti - G. Speight - M. Capolli (Submitted Paper)

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group (2019) - M. Caponi (Ph.D. Thesis)

On some mathematical problems in fracture dynamics (2019) - M. Caponi - I. Lucardesi - E. Tasso (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Energy-dissipation balance of a smooth moving crack (2019) - M. Caponi - F. Sapio (
*Ann. Mat. Pura Appl.*)

A dynamic model for viscoelastic materials with prescribed growing cracks (2019) - M. Carioni - A. Marchese - A. Massaccesi - A. Pluda - R. Tione (Submitted Paper)

The oriented mailing problem and its convex relaxation (2019) - M. Carioni - A. Pluda (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

Calibrations for minimal networks in a covering space setting (2019) - M. Carioni - A. Pluda (Accepted Paper:
*Adv. Calc. Var.*)

On different notions of calibrations for minimal partitions and minimal networks in $\mathbb{R}^2$ (2019) - M. Caroccia - A. Chambolle - D. Slepčev (Submitted Paper)

Mumford - Shah on graphs and their asymptotics (2019) - M. Caroccia - R. Cristoferi (Submitted Paper)

On the Gamma convergence of functionals defined over pairs of measures and energy-measures (2019) - M. Caroccia - M. Focardi - N. Van Goethem (Submitted Paper)

On the integral representation of variational functionals on $BD$ (2019) - M. Caroccia - N. Van Goethem (Accepted Paper:
*ESAIM: M2AN*)

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications (2019) - J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Accepted Paper:
*Commun. Math. Phys.*)

The ellipse law: Kirchhoff meets dislocations (2019) - J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Preprint)

The equilibrium measure for an anisotropic nonlocal energy (2019) - G. Catino - F. Gazzola - P. Mastrolia (Submitted Paper)

A conformal Yamabe problem with potential on the Euclidean space (2019) - G. Catino - P. Mastrolia (
*Ann. Glob. Anal. Geom.*)

A potential generalization of some canonical Riemannian metrics (2019) - G. Catino - P. Mastrolia (
*J. Geom. Anal.*)

Weyl scalars on compact Ricci solitons (2019) - G. Catino - D. D. Monticelli - F. Punzo (Submitted Paper)

The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity (2019) - G. Catino - D. D. Monticelli - F. Punzo (
*Calc. Var. Partial Differential Equations*)

The Poisson equation on manifolds with positive essential spectrum (2019) - G. Catino - A. Roncoroni - L. Vezzoni (Submitted Paper)

On the umbilic set of immersed surfaces in three-dimensional space forms (2019) - F. Cavalletti - A. Mondino - D. Semola (Preprint)

Quantitative Obata's Theorem (2019) - A. Cesaroni - M. Cirant (Submitted Paper)

Brake orbits and heteroclinic connections for first order Mean Field Games (2019) - A. Cesaroni - M. Cirant - S. Dipierro - M. Novaga - E. Valdinoci (
*J. Math. Pures Appl.*)

On stationary fractional Mean Field Games (2019) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (
*Math. Ann.*)

Fattening and nonfattening phenomena for planar nonlocal curvature flows (2019) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (
*Discrete Contin. Dyn. Syst. A*)

Minimizers of the $p$-oscillation functional (2019) - A. Cesaroni - M. Novaga (Submitted Paper)

Nonlocal minimal clusters in the plane (2019) - A. Chambolle - V. Crismale (
*Arch. Rational Mech. Anal.*)

A density result in $GSBD^p$ with applications to the approximation of brittle fracture energies (2019) - A. Chambolle - V. Crismale (
*Calc. Var. Partial Differential Equations*)

Existence of strong solutions to the Dirichlet problem for the Griffith energy (2019) - A. Chambolle - L. Lussardi - E. Villa (Submitted Paper)

Anisotropic tubular neighborhoods of sets (2019) - A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (
*J. Amer. Math. Soc.*)

Existence and uniqueness for anisotropic and crystalline mean curvature flows (2019) - A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (
*Anal. PDE*)

Generalized crystalline evolutions as limits of flows with smooth anisotropies (2019) - A. Chambolle - M. Novaga - V. Pagliari (Preprint)

On the convergence rate of some nonlocal energies (2019) - G. Q. Chen - G. E. Comi - M. Torres (
*Arch. Ration. Mech. Anal.*)

Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets (2019) - J. H. Cheng - A. Malchiodi - P. Yang (Submitted Paper)

On the Sobolev quotient of three-dimensional CR manifolds (2019) - Y. Chitour - D. Prandi - L. Rizzi (Preprint)

Weyl's law for singular Riemannian manifolds (2019) - O. Chodosh - M. Engelstein - L. Spolaor (Submitted Paper)

The Riemannian quantitative isoperimetric inequality (2019) - M. Cicalese - M. Forster - G. Orlando (Accepted Paper:
*SIAM J. Math. Anal.*)

Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (2019) - M. Cicalese - G. P. Leonardi (Accepted Paper:
*Commun. Math. Phys.*)

Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019) - M. Cicalese - G. Orlando - M. Ruf (Preprint)

From the $N$-clock model to the $XY$ model: emergence of concentration effects in the variational analysis (2019) - E. Cinti - F. Colasuonno (Accepted Paper:
*J. Differential Equations*)

A nonlocal supercritical Neumann problem (2019) - G. Ciraolo - A. Figalli - A. Roncoroni (Submitted Paper)

Symmetry results for critical anisotropic $p$-Laplacian equations in convex cones (2019) - S. Cito (
*Journal of Convex Analysis*)

Existence and Regularity of Optimal Convex Shapes for Functionals Involving the Robin Eigenvalues (2019) - M. Colombo - A. De Rosa - A. Marchese (
*Comm. Pure App. Math.*)

On the well-posedness of branched transportation (2019) - S. Di Marino - F. Stra - M. Colombo (Submitted Paper)

Continuity of multi-marginal optimal transport with repulsive cost (2019) - M. Colombo - M. Fathi (Preprint)

Bounds on optimal transport maps onto log-concave measures (2019) - M. Colombo - L. Spolaor - B. Velichkov (Preprint)

Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem (2019) - G. E. Comi - V. Magnani (Accepted Paper:
*Adv. Math.*)

The Gauss-Green theorem in stratified groups (2019) - G. E. Comi - G. Stefani (Submitted Paper)

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I (2019) - G. E. Comi - G. Stefani (
*Journal of Functional Analysis*)

A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up (2019) - D. Cordero-Erausquin - A. Figalli (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Regularity of monotone transport maps between unbounded domains (2019) - G. Crasta - V. De Cicco - A. Malusa (Preprint)

Pairings between bounded divergence-measure vector fields and BV functions (2019) - A. Malusa - G. Crasta (Accepted Paper:
*Symmetry*)

Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers (2019) - V. Crismale (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Density in $SBD$ and approximation of fracture energies (2019) - V. Crismale (
*SIAM J. Math. Anal.*)

On the approximation of $SBD$ functions and some applications (2019) - V. Crismale - M. Friedrich (preprint)

Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity (2019) - V. Crismale - R. Rossi (Submitted Paper)

Balanced Viscosity solutions to a rate-independent coupled elasto-plastic damage system (2019) - G. Cupini - N. Fusco - E. Lanconelli - X. Zhong (Accepted Paper:
*J. Anal. Math.*)

A sharp stability result for the Gauss mean value formula (2019) - G. Cupini - E. Lanconelli (Submitted Paper)

On Mean Value formulas for solutions to linear second order PDEs (2019) - E. Davoli - G. Di Fratta (Submitted Paper)

Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures (2019) - E. Davoli - R. Ferreira - C. Kreisbeck (Submitted Paper)

Homogenization in $BV$ of a model for layered composites in finite crystal plasticity (2019) - E. Davoli - I. Fonseca - P. Liu (Submitted Paper)

Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (2019) - E. Davoli - H. Ranetbauer - L. Scarpa - L. Trussardi (Accepted Paper:
*Annales de l'Institut Henri Poincare. Analyse Non Lineaire*)

Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics (2019) - E. Davoli - T. Roubicek - U. Stefanelli (Accepted Paper:
*ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik*)

Dynamic perfect plasticity and damage in viscoelastic solids (2019) - E. Davoli - L. Scarpa - L. Trussardi (Preprint)

Local asymptotics for nonlocal convective Cahn-Hilliard equations with $W^{1,1}$ kernel and singular potential (2019) - E. Davoli - L. Scarpa - L. Trussardi (Submitted Paper)

Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms (2019) - E. Davoli - U. Stefanelli (Accepted Paper:
*SIAM Journal on Mathematical Analysis*)

Dynamic perfect plasticity as convex minimization (2019) - F. Dayrens - S. Masnou - M. Novaga - M. Pozzetta (Submitted Paper)

Connected perimeter of planar sets (2019) - V. De Cicco - D. Giachetti - F. Oliva - F. Petitta (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Dirichlet problems for singular elliptic equations with general nonlinearities (2019) - C. De Filippis - G. Palatucci (
*J. Differential Equations*)

Hölder regularity for nonlocal double phase equations (2019) - C. De Lellis - G. De Philippis - J. Hirsch (Submitted Paper)

Nonclassical minimizing surfaces with smooth boundary (2019) - C. De Lellis - G. De Philippis - B. Kirchheim - R. Tione (Submitted Paper)

Geometric measure theory and differential inclusions (2019) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Submitted Paper)

Area minimizing currents mod $2Q$: linear regularity theory (2019) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Submitted Paper)

Regularity of area minimizing currents mod $p$ (2019) - C. De Lellis - L. J. Székelyhidi (Accepted Paper:
*To appear in the Notices of the AMS*)

On turbulence and geometry: from Nash to Onsager (2019) - C. De Lellis - Z. Zhao (Preprint)

Dirichlet energy-minimizers with analytic boundary (2019) - L. De Luca - M. Goldman - M. Strani (
*Math. Annalen*)

A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation (2019) - L. De Luca - M. Novaga - M. Ponsiglione (
*J. Nonlinear Sci.*)

$\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter (2019) - L. De Luca - M. Novaga - M. Ponsiglione (Submitted Paper)

The $0$-fractional perimeter between fractional perimeters and Riesz potentials (2019) - L. De Luca - M. Ponsiglione (Accepted Paper:
*Comm. Contemp. Math.*)

Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles (2019) - N. De Nitti - J. Fischer (preprint)

Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation (2019) - G. De Philippis - A. De Rosa - J. Hirsch (
*Discrete Contin. Dyn. Syst.*)

The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals (2019) - G. De Philippis - J. Hirsch - G. Vescovo (Accepted Paper:
*Comm. Math. Phys.*)

Regularity of minimizers for a model of charged droplets (2019) - G. De Philippis - M. Marini - E. Mukoseeva (Submitted Paper)

The sharp quantitative isocapacitary inequality (2019) - G. De Philippis - J. Núñez-Zimbrón (preprint)

The behavior of harmonic functions at singular points of $\mathsf{RCD}$ spaces (2019) - G. De Philippis - F. Rindler (Survey paper)

Fine properties of functions of bounded deformation -- an approach via linear PDEs (2019) - L. Spolaor - G. De Philippis - B. Velichkov (Preprint)

Regularity of the free boundary for the two-phase Bernoulli problem (2019) - N. De Ponti (preprint)

Metric properties of homogeneous and spatially inhomogeneous F-divergences (2019) - N. De Ponti (Ph.D. Thesis)

Optimal transport: entropic regularizations, geometry and diffusion PDEs (2019) - N. De Ponti - A. Mondino (Preprint)

Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces (2019) - N. De Ponti - M. Muratori - C. Orrieri (preprint)

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below (2019) - A. De Rosa - S. Kolasiński - M. Santilli (Submitted Paper)

Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets (2019) - A. De Rosa - L. Lussardi (Submitted Paper)

On the anisotropic Kirchhoff-Plateau problem (2019) - C. Debin - N. Gigli - E. Pasqualetto (Submitted Paper)

Quasi-continuous vector fields on $\sf RCD$ spaces (2019) - M. Degiovanni - D. Mazzoleni (Preprint)

Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measures (2019) - G. Del Nin (Preprint)

Some asymptotic results on the global shape of planar clusters (2019) - G. Del Nin - K. O. Idu (Preprint)

Geometric criteria for $C^{1,\alpha}$ rectifiability (2019) - G. Del Nin - A. Pluda - M. Pozzetta (Preprint)

Degenerate elastic networks (2019) - D. Di Donato (preprint)

Intrinsic Lipschitz graphs in Carnot groups of step 2 (2019) - G. Di Fratta - A. Fiorenza (Preprint)

BMO-type seminorms from Escher-type tessellations (2019) - G. Di Fratta - C. Muratov - F. Rybakov - V. Slastikov (Preprint)

Variational principles of micromagnetics revisited (2019) - S. Di Marino - A. Gerolin (preprint)

An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm (2019) - S. Di Marino - F. Santambrogio (Preprint)

JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: $L^p$ and Sobolev bounds (2019) - S. Dipierro - M. Novaga - E. Valdinoci (
*J. London Math. Soc.*)

On a Minkowski geometric flow in the plane: Evolution of curves with lack of scale invariance (2019) - N. Dirr - F. Dragoni - P. Mannucci - C. Marchi (Accepted Paper:
*Nonlinear Analysis*)

$\Gamma$- convergence and homogenisation for a class of degenerate functionals. (2019) - E. Dolera - E. Mainini (Accepted Paper:
*Stat. Probab. Lett.*)

On uniform continuity of posterior distributions (2019) - S. Don - E. Le Donne - T. Moisala - D. Vittone (preprint)

A rectifiability result for finite-perimeter sets in Carnot groups (2019) - P. W. Dondl - M. Novaga - B. Wirth - S. Wojtowytsch (
*SIAM J. Math. Anal.*)

Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields (2019) - F. Dragoni - D. Filali (
*Journal of Convex Analysis*)

Starshaped and convex sets in Carnot groups and in the geometries of vector fields. (2019) - S. Dweik (Accepted Paper:
*Communications on Pure and Applied Analysis*)

$L^{p,q}$ estimates on the transport density (2019) - S. Dweik - N. Ghoussoub - Y. H. Kim - A. Z. Palmer (Submitted Paper)

Stochastic optimal transport with free end time (2019) - S. Dweik - N. Ghoussoub - A. Z. Palmer (Accepted Paper:
*Journal of Dynamical and Control Systems*)

Optimal controlled transports with free end times subject to import/export tariffs (2019) - S. Dweik - W. Górny (Submitted Paper)

Least gradient problem on annuli (2019) - S. Dweik - G. Mazanti (Submitted Paper)

Sharp semi-concavity in a non-autonomous control problem and $L^p$ estimates in an optimal-exit MFG (2019) - N. Edelen - L. Spolaor (Submitted Paper)

Regularity of minimal surfaces near quadratic cones (2019) - P. Esposito - A. Malchiodi (Preprint)

CRITICAL METRICS FOR LOG-DETERMINANT FUNCTIONALS IN CONFORMAL GEOMETRY (2019) - B. Fall - F. Santambrogio - D. Seck (Preprint)

Shape Derivative for Obstacles in Crowd Motion (2019) - S. Fanzon - M. Palombaro - M. Ponsiglione (
*SIAM Journal on Mathematical Analysis*)

Derivation of Linearised Polycrystals from a Two-Dimensional System of Edge Dislocations (2019) - S. Fanzon - M. Ponsiglione - R. Scala (Submitted Paper)

Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces (2019) - A. Farina - B. Sciunzi - N. Soave (Accepted Paper:
*Communications in Contemporary Mathematics*)

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits (2019) - F. Farroni (Preprint)

Asymptotic estimates for some evolution problems with singular convection fiels (2019) - F. Farroni - N. Fusco - S. Guarino Lo Bianco - R. Schiattarella (Accepted Paper:
*J. Funct. Anal.*)

A formula for the anisotropic total variation of SBV functions (2019) - R. Ferreira - D. Gomes - X. Yang (Preprint)

Two-scale homogenization of a stationary mean-field game (2019) - R. Ferreira - E. Zappale (preprint:
*Comm. Pure Appl. Anal.*)

Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity (2019) - A. Figalli - D. Jerison (Accepted Paper:
*Ann. Sci. Éc. Norm. Supér.*)

A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces (2019) - A. Figalli - M. J. Kang (Accepted Paper:
*Anal. PDE*)

A rigorous derivation from the kinetic cucker-smale model to the pressureless euler system with nonlocal alignment (2019) - A. Figalli - J. Serra (Accepted Paper:
*Invent. Math.*)

On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4+1 (2019) - A. Figalli - J. Serra (Accepted Paper:
*Invent. Math.*)

On the fine structure of the free boundary for the classical obstacle problem (2019) - M. Focardi - E. Spadaro (Submitted Paper)

The local structure of the free boundary in the fractional obstacle problem (2019) - V. Franceschi - F. Montefalcone - R. Monti (Accepted Paper:
*Analysis and Geometry in Metric Spaces*)

CMC spheres in the Heisenberg group (2019) - V. Franceschi - D. Prandi (Submitted Paper)

Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group (2019) - V. Franceschi - D. Prandi - L. Rizzi (
*Potential Anal.*)

On the essential self-adjointness of singular sub-Laplacians (2019) - E. Fried - L. Lussardi (
*Rend. Lincei Mat. Appl.*)

Monotonicity formulae for smooth extremizers of integral functionals (2019) - L. Kreutz - M. Friedrich (Submitted Paper)

Finite crystallization and wulff shape emergence for ionic compounds in the square lattice (2019) - M. Friedrich - E. Mainini - P. Piovano (Preprint)

Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review (2019) - M. Friedrich - F. Solombrino (Preprint)

Functionals defined on piecewise rigid functions: Integral representation and $\Gamma$-convergence (2019) - G. Fusco - G. F. Gronchi - M. Novaga (
*Minimax Theory Appl.*)

Existence of periodic orbits near heteroclinic connections (2019) - N. Fusco - S. Mukherjee - Y. R. Y. Zhang (
*Proc. London Math. Soc.*)

A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets (2019) - A. Pratelli - N. Fusco (Preprint)

Sharp stability for the Riesz potential (2019) - H. Garcke - J. Menzel - A. Pluda (Preprint)

Long Time Existence of Solutions to an Elastic Flow of Networks (2019) - H. Garcke - J. Menzel - A. Pluda (
*J. Differential Equations*)

Willmore flow of planar networks (2019) - N. Gavish - P. Nyquist - M. Peletier (preprint)

Large deviations and gradient flows for the Brownian one-dimensional hard-rod system (2019) - A. Gerolin - J. Grossi - P. Gori-Giorgi (preprint)

Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem (2019) - A. Gerolin - A. Kausamo - T. Rajala (
*ESAIM: COCV*)

Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces (2019) - A. Gerolin - A. Kausamo - T. Rajala (Preprint)

Multi-marginal Entropy-Transport with repulsive cost (2019) - A. Gerolin - A. Kausamo - T. Rajala (
*SIAM Journal on Mathematical Analysis*)

Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost (2019) - A. Mallasto - G. Montúfar - A. Gerolin (preprint)

How Well Do WGANs Estimate the Wasserstein Metric? (2019) - D. Giachetti - F. Oliva - F. Petitta (preprint)

1-Laplacian type problems with strongly singular nonlinearities and gradient terms (2019) - N. Gigli (Preprint)

Riemann curvature tensor on RCD spaces and possible applications (2019) - N. Gigli - A. Tyulenev (Preprint)

Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows (2019) - P. Gladbach - H. Olbermann (preprint)

Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces (2019) - P. Gladbach - H. Olbermann (preprint)

Energy scaling for a conically constrained sector (2019) - M. Goldman (Proceedings:
*Actes du Séminaire Laurent Schwartz*)

A variational approach to regularity theory in optimal transportation (2019) - M. Goldman - M. Huesmann - F. Otto (Preprint)

Quantitative linearization results for the Monge-Ampère equation (2019) - M. Goldman - B. Merlet (Preprint)

Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates (2019) - M. Goldman - B. Merlet (Accepted Paper:
*Rend. Sem. Mat. Torino*)

Recent results on non-convex functionals penalizing oblique oscillations (2019) - P. J. Graber - A. R. Mészáros - F. Silva - D. Tonon (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

The planning problem in Mean Field Games as regularized mass transport (2019) - D. Grandi - M. Kruzik - E. Mainini - U. Stefanelli (
*Arch. Ration. Mech. Anal.*)

A phase-field approach to Eulerian interfacial energies (2019) - G. Gravina - G. Leoni (preprint)

On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions (2019) - B. Han (Preprint)

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds (2019) - B. Han (Accepted Paper:
*Manuscripta Mathematica*)

The sharp $p$-Poincaré inequality under the measure contraction property (2019) - B. Han - E. Milman (Preprint)

Sharp Poincare inequality under Measure Contraction Property (2019) - B. Han - K. T. Sturm (preprint)

Curvature-dimension conditions for diffusions under time change (2019) - J. Hirsch - S. Stuvard - D. Valtorta (
*Trans. Amer. Math. Soc.*)

Rectifiability of the singular set of multiple valued energy minimizing harmonic maps (2019) - A. Iannizzotto - S. J. N. Mosconi - M. Squassina (Preprint)

Sobolev versus Holder minimizers for the degenerate fractional $p$-Laplacian (2019) - M. Jacobs - I. Kim - A. R. Mészáros (Submitted Paper)

Weak solutions to the Muskat problem with surface tension via optimal transport (2019) - A. Jevnikar - A. Malchiodi - R. Wu (Preprint)

Existence results for a super-Liouville equation on compact surfaces (2019) - P. Lahti - R. Jones - N. Shanmugalingam (Accepted Paper:
*Indiana University Math. J.*)

Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry (2019) - V. Julin - D. A. La Manna (Preprint)

Short time existence of the classical solution to the fractional mean curvature flow (2019) - V. Kapovitch - A. Mondino (Preprint)

On the topology and the boundary of $N$-dimensional $RCD(K,N)$ spaces (2019) - S. Kholmatov - P. Piovano (Submitted Paper)

A unified model for stress-driven rearrangement instabilities (2019) - D. King - F. Maggi - S. Stuvard (Submitted Paper)

Plateau's problem as a singular limit of capillarity problems (2019) - D. Knees - C. Zanini (Submitted Paper)

Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads (2019) - S. Krantz - M. Peloso - D. Spector (Preprint)

Some remarks on $L^1$ embeddings in the subelliptic setting (2019) - C. Kreisbeck - E. Zappale (Preprint)

Loss of double-integral character during relaxation (2019) - C. Kreisbeck - E. Zappale (Preprint)

Lower semicontinuity and relaxation of nonlocal $L^\infty$-functionals (2019) - L. Kreutz - P. Piovano (Submitted Paper)

Microscopic validation of a variational model of epitaxially strained crystalline films (2019) - S. Kryzhevich - E. Stepanov (
*J. Differential Equations*)

The saga of a fish: from a survival guide to closing lemmas (2019) - D. Kwon - A. R. Mészáros (Submitted Paper)

Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients (2019) - T. Lamm - A. Malchiodi - M. Micallef (Submitted Paper)

A gap theorem for $\alpha$-harmonic maps between two-spheres (2019) - H. Lavenant (Phd Thesis)

Optimal curves and mappings valued in the Wasserstein space (2019) - H. Lavenant (Submitted Paper)

Unconditional convergence for discretizations of dynamical optimal transport (2019) - G. Lazzaroni - L. Nardini (
*ESAIM: COCV*)

On the 1d wave equation in time-dependent domains and the problem of debond initiation (2019) - E. Le Donne - D. Lučić - E. Pasqualetto (preprint)

Universal infinitesimal Hilbertianity of sub-Riemannian manifolds (2019) - E. Le Donne - S. Nicolussi Golo (preprint)

Metric Lie groups admitting dilations (2019) - E. Le Donne - R. Young (preprint)

Carnot rectifiability of sub-Riemannian manifolds with constant tangent (2019) - E. Le Donne - R. Züst (preprint)

Space of signatures as inverse limits of Carnot groups (2019) - H. Leclerc - Q. Mérigot - F. Santambrogio - F. Stra (Preprint)

Lagrangian discretization of crowd motion and linear diffusion (2019) - M. Lewicka - D. Lučić (Accepted Paper:
*Communications on Pure and Applied Mathematics*)

Dimension reduction for thin films with transversally varying prestrain: the oscillatory and the non-oscillatory case (2019) - P. Lewintan (Accepted Paper:
*Rend. Sem. Mat. Univ. Padova*)

On $\alpha$-minimizing hypercones (2019) - P. Liu - X. Y. Lu (Submitted Paper)

Real order (an)-isotropic total variation in image processing - Part II: Learning of optimal structures (2019) - A. Lorent - G. Peng (Submitted Paper)

On the Rank-$1$ convex hull of a set arising from a hyperbolic system of Lagrangian elasticity (2019) - D. Wang - A. Rinaldo - X. Y. Lu (Submitted Paper)

DBSCAN: Optimal Rates For Density Based Clustering (2019) - I. Lucardesi - D. Zucco (Preprint)

On Blaschke-Santal\'o diagrams for the torsional rigidity and the first Dirichlet eigenvalue (2019) - L. Lussardi (Proceedings (submitted))

The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies (2019) - L. Lussardi (
*Rend. Sem. Mat. Univ. Pol. Torino*)

The Plateau problem in the Calculus of Variations (2019) - D. Lučić - E. Pasqualetto - T. Rajala (Preprint)

Sharp estimate on the inner distance in planar domains (2019) - F. Maddalena - E. Mainini - D. Percivale (Preprint)

Euler's optimal profile problem (2019) - F. Maddalena - D. Percivale - F. Tomarelli

A new variational approach to linearization of traction problems in elasticity (2019) - F. Maddalena - D. Percivale - F. Tomarelli (Accepted Paper:
*Arch Rational Mech Anal (2019)*)

The Gap Between Linear Elasticity and the Variational Limit of Finite Elasticity in Pure Traction Problems (2019) - F. Maggi - A. Scardicchio - S. Stuvard (
*Discrete Cont. Dyn. Syst.*)

Soap films with gravity and almost-minimal surfaces (2019) - V. Magnani (
*Calc. Var. Partial Differential Equations*)

Towards a theory of area in homogeneous groups (2019) - V. Magnani - A. Minne (Submitted Paper)

Optimal Regularity of Solutions to No-Sign Obstacle-Type Problems for the Sub-Laplacian (2019) - V. Magnani - A. Pinamonti - G. Speight (
*Ann. Mat. Pura Appl.*)

Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups (2019) - V. Magnani - D. Tiberio (Preprint)

A remark on vanishing geodesic distances in infinite dimensions (2019) - E. Mainini - P. Piovano - B. Schmidt - U. Stefanelli (
*J. Stat. Phys.*)

$N^{3/4}$ law in the cubic lattice (2019) - A. Maione (preprint)

$H$-convergence for equations depending on monotone operators in Carnot groups (2019) - A. Maione - A. Pinamonti - F. Serra Cassano (Submitted Paper)

$\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness. (2019) - A. Malchiodi - M. Mayer (Preprint)

Prescribing Morse scalar curvatures: pinching and Morse theory (2019) - C. Mantegazza - M. Novaga - A. Pluda (Lecture Notes:
*Springer INdAM Series*)

Lectures on Curvature Flow of Networks (2019) - R. Marchello - M. Morandotti - H. Shum - M. Zoppello (Submitted Paper)

The $N$-link swimmer in three dimensions: controllability and optimality results (2019) - A. Marchese - A. Massaccesi - R. Tione (
*SIAM J. Math. Anal*)

A multi-material transport problem and its convex relaxation via rectifiable G-currents (2019) - E. Marconi (Preprint)

On the structure of weak solutions to scalar conservation laws with finite entropy production (2019) - J. Matias - M. Morandotti - D. R. Owen - E. Zappale (Preprint)

Relaxation of non-local energies for structured deformations with applications to plasticity (2019) - M. Mayer (preprint)

None compactness versus critical points at infinity: an example (2019) - M. Mayer (Submitted Paper)

Prescribing Morse scalar curvatures: critical points at infinity (2019) - D. Mazzoleni - B. Pellacci - G. Verzini (Preprint)

Quantitative analysis of a singularly perturbed shape optimization problem in a polygon (2019) - A. C. G. Mennucci (
*International Journal of Mathematics and Mathematical Sciences*)

On Perimeters and Volumes of Fattened Sets (2019) - A. C. G. Mennucci (Lecture Notes)

Some examples of Riemannian metrics of curves (2019) - G. Mercier - M. Novaga - P. Pozzi (
*Comm. Anal. Geom.*)

Anisotropic curvature flow of immersed curves (2019) - I. A. Minlend - A. Niang - E. H. A. Thiam (Accepted Paper:
*ESAIM : COCV*)

Multiply-periodic hypersurfaces with constant nonlocal mean curvature (2019) - A. Minne - D. Tewodrose (Submitted Paper)

Asymptotic Mean Value Laplacian in Metric Measure Spaces (2019) - O. Misiats - I. Topaloglu - D. Vasiliu (preprint)

Singular perturbation of an elastic energy with a singular weight (2019) - S. Modena - G. Sattig (preprint)

Convex integration solutions to the transport equation with full dimensional concentration (2019) - A. Mondino - C. Scharrer (Preprint)

Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy (2019) - R. Monti - D. Morbidelli (Accepted Paper:
*Potential Analysis*)

John and uniform domains in generalized Siegel boundaries (2019) - R. Monti - M. Zaccaron (Submitted Paper)

Height estimate and Lipschitz approximation for geodesics in Carnot groups (2019) - M. Morandotti - F. Solombrino (Preprint)

Mean-field analysis of multi-population dynamics with label switching (2019) - P. van Meurs - M. Morandotti (
*SIAM J. App. Math.*)

Discrete-to-continuum limits of particles with an annihilation rule (2019) - E. Moreira Dos Santos - G. Nornberg - N. Soave (Submitted Paper)

On unique continuation principles for some elliptic systems (2019) - D. Mucci - A. Saracco (Submitted Paper)

The total intrinsic curvature of curves in Riemannian surfaces (2019) - D. Mucci - A. Saracco (Submitted Paper)

The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion (2019) - S. Mukherjee - Y. Sire (Submitted Paper)

Gradient potential estimates on the Heisenberg Group (2019) - A. E. Muñoz Flores - S. Nardulli (
*Geometriae Dedicata*)

Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry (2019) - L. Nenna - B. Pass (Submitted Paper)

Variational problems involving unequal dimensional optimal transport (2019) - Q. H. Nguyen - C. P. Nguyen (Accepted Paper:
*Journal of Functional Analysis*)

Pointwise gradient estimates for a class of singular quasilinear equation with measure data (2019) - H. M. Nguyen - M. Squassina (
*Journal d'Analyse Mathématique*)

On Hardy and Caffarelli-Kohn-Nirenberg inequalities (2019) - A. Niang (
*Communications on Pure and Applied Analysis*)

Boundary regularity for a degenerate elliptic equation with mixed boundary conditions (2019) - M. Novaga - M. Pozzetta (Submitted Paper)

Connected surfaces with boundary minimizing the Willmore energy (2019) - M. Novaga - P. Pozzi (Accepted Paper:
*SIAM J. Math. Anal.*)

A second order gradient flow of $p$-elastic planar networks (2019) - F. Onoue (Preprint)

Nonexistence of Minimizers for a Nonlocal Perimeter Functional with a Riesz and a Background Potential (2019) - V. Pagliari (Ph.D. Thesis)

Asymptotic behaviour of rescaled nonlocal functionals and evolutions (2019) - V. Pagliari (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Halfspaces minimise nonlocal perimeter: a proof via calibrations (2019) - E. Pasqualetto (Preprint)

Direct and inverse limits of normed modules (2019) - X. Pellet - L. Scardia - C. I. Zeppieri (Accepted Paper:
*SIAM J. Math. Anal.*)

Homogenization of high-contrast Mumford-Shah energies (2019) - M. Perugini (Submitted Paper)

Rigidity of Steiner's inequality for the anisotropic perimeter (2019) - M. Piantoni (Degree Thesis)

Principi di Convessità ed applicazioni alle Equazioni Differenziali alle Derivate Parziali in domini convessi (2019) - A. Pinamonti - G. Speight (Accepted Paper:
*Israel Journal of Mathematics*)

Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step (2019) - S. Piontek - T. Schmidt (Accepted Paper:
*ESAIM, Control Optim. Calc. Var.*)

Higher integrability for the gradient of Mumford-Shah almost-minimizers (2019) - A. Pratelli - G. Saracco (Submitted Paper)

The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets (2019) - F. Prinari - E. Zappale (preprint)

A relaxation result in the vectorial setting and $L^p$-approximation for $L^\infty$-functionals (2019) - B. Raita - A. Skorobogatova (preprint)

Continuity and canceling operators of order $n$ on $\mathbb{R}^n$ (2019) - B. Raita - D. Spector (Preprint)

A Note on Estimates for Elliptic Systems with $L^1$ Data (2019) - R. Rios-Zertuche (preprint)

Weak KAM theory in higher-dimensional holonomic measure flows (2019) - Rishabh S. Gvalani - A. Schlichting (preprint)

Barriers of the McKean--Vlasov energy via a mountain pass theorem in the space of probability measures (2019) - F. Riva (
*Milan Journal of Mathematics*)

A continuous dependence result for a dynamic debonding model in dimension one (2019) - F. Riva (
*Journal of Nonlinear Science*)

On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity (2019) - R. Rossi (Accepted Paper:
*Mathematical Models and Methods in the Applied Sciences*)

Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity (2019) - R. Rossi - U. Stefanelli - M. Thomas (Submitted Paper)

Rate-independent evolution of sets (2019) - E. Russ - B. Trey - B. Velichkov (Accepted Paper:
*Calc. Var. PDE*)

Existence and regularity of optimal shapes for elliptic operators with drift (2019) - A. Saracco - G. Saracco (
*Netw. Heterog. Media*)

A discrete districting plan (2019) - G. Saracco (Preprint)

A sufficient criterion to determine planar self-Cheeger sets (2019) - G. Scilla - F. Solombrino (
*J. Differential Equations*)

A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension (2019) - G. Scilla - B. Stroffolini (Accepted Paper:
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers (2019) - M. Vedovato - F. Serra Cassano (Accepted Paper:
*Le Matematiche*)

The Bernstein problem in Heisenberg groups (2019) - N. Shanmugalingam (Proceedings)

$p$-hyperbolicity of ends and families of paths in metric spaces (2019) - N. Soave - S. Terracini (
*Journal de Mathématiques Pures et Appliquées*)

The nodal set of solutions to some elliptic problems: singular nonlinearities (2019) - D. Spector (preprint)

New Directions in Harmonic Analysis on $L^1$ (2019) - S. Stuvard (
*Calc. Var. Partial Differential Equations*)

Multiple valued Jacobi fields (2019) - S. Stuvard - Y. Tonegawa (Submitted Paper)

An existence theorem for Brakke flow with fixed boundary conditions (2019) - L. Tamanini (Preprint)

From Harnack inequality to heat kernel estimates on metric measure spaces and applications (2019) - E. Tasso (Accepted Paper:
*Advances in Calculus of Variations*)

On the blow-up of GSBV functions under suitable geometric properties of the jump set (2019) - E. Tasso (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Weak formulation of elastodynamics in domains with growing cracks (2019) - P. Tilli - D. Zucco (Submitted Paper)

Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues (2019) - M. Vedovato (Preprint)

Quantitative regularity for $p$-minimizing maps through a Reifenberg Theorem (2019) - B. Velichkov (Lecture Notes)

Regularity of the one-phase free boundaries (2019) - C. I. Zeppieri (Accepted Paper:
*Mathematics in Engineering*)

Homogenisation of high-contrast brittle materials (2019) - D. Zucco (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case (2019) - A. Zuniga (
*Nonlinear Analysis*)

Continuity of minimizers to weighted least gradient problems (2019)