E. Acerbi, N. Fusco, V. Julin, M. Morini:
Nonlinear stability results for  the modified Mullins-Sekerka  and the surface diffusion flow
Journal of Differential Geometry Vol. 113, p. 1--53, 2019

R. Adami, U. Boscain, V. Franceschi, D. Prandi:
Point interactions for 3D sub-Laplacians
Annales IHP C - Analyse Nonlinéaire (Accepted Paper) 2019

D. Addona, G. Menegatti, M. Miranda Jr:
Characterization of BV functions on open domains: the Gaussian case and the general case
(Submitted Paper) 2019

C. Afeltra:
Singular periodic solutions to a critical equation in the Heisenberg group
(preprint) 2019

V. Agostiniani, M. Fogagnolo, L. Mazzieri:
Minkowski Inequalities via Nonlinear Potential Theory
Archive for Rational Mechanics and Analysis 2019

A. Agrachev, D. Barilari, U. Boscain:
A Comprehensive Introduction to Sub-Riemannian Geometry
Cambridge Studies in Advanced Mathematics, Cambridge Univ. Press (Book) Vol. 181, p. 762, 2019

A. Agrachev, D. Barilari, E. Paoli:
Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics
Annales de l'Institut Fourier Vol. 69, N. 3, p. 1187-1228, 2019

G. Alberti, G. Buttazzo, S. Guarino Lo Bianco, E. Oudet:
Optimal reinforcing networks for elastic membranes
Networks and Heterogeneous Media (Accepted Paper) 2019

G. Alberti, E. Stepanov, D. Trevisan:
Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to   Itô and Stratonovich
J. Funct. Anal. (Accepted Paper) 2019

S. Albeverio, N. Cangiotti, S. Mazzucchi:
A rigorous mathematical construction of Feynman path integrals for the
  Schrödinger equation with magnetic field
(preprint) 2019

G. Albi, M. Bongini, F. Rossi, F. Solombrino:
Leader formation with mean-field birth and death models
Mathematical Models and Methods in Applied Sciences Vol. 29, N. 4, p. 633--679, 2019

R. Alessi, V. Crismale, G. Orlando:
Fatigue effects in elastic materials with variational damage models: A  vanishing viscosity approach
J. Nonlinear Sci. Vol. 29, N. 3, p. 1041-1094, 2019

F. Alessio, P. Montecchiari, A. Zuniga:
Prescribed-energy connecting orbits for gradient systems
Discrete Cont. Dyn. Syst. Series A Vol. 39, N. 8, p. 4895--4928, 2019

L. Ambrosio, E. Bruè, D. Semola:
Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces
Geom. Funct. Anal. Vol. 29, N. 4, p. 949--1001, 2019

L. Ambrosio, F. Glaudo, D. Trevisan:
On the optimal map in the 2-dimensional random matching problem
(Preprint) p. 20, 2019

L. Ambrozio, R. Buzano, A. Carlotto, B. Sharp:
Bubbling analysis and geometric convergence results for free boundary  minimal surfaces
Journal de l'École Polytechnique - Mathématiques Vol. 6, 2019

L. Angiuli, S. Ferrari, D. Pallara:
Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains
J. Evol. Equ. Vol. 19, p. 677715, 2019

N. Ansini, A. Braides, J. Zimmer:
Minimising movements for oscillating energies: the critical regime
Proc. Roy. Soc. Edinburgh A Vol. 149, p. 719-737, 2019

G. Antonelli, E. Bruè, D. Semola:
Volume bounds for the quantitative singular strata of non collapsed RCD
  metric measure spaces
Anal. Geom. Metr. Spaces Vol. 7, N. 1, p. 158--178, 2019

A. H. Ardila, L. Cely, M. Squassina:
Logarithmic Bose-Einstein condensates with harmonic potential
Asymptotic Anal. (Accepted Paper) 2019

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

A. Arroyo-Rabasa, J. Diermeier:
Generalized multi-scale Young measures
(preprint) 2019

A. Arroyo-Rabasa, A. Skorobogatova:
On the fine properties of elliptic operators
(Preprint) p. 29, 2019

J. F. Babadjian, F. Iurlano, A. Lemenant:
Partial regularity for the crack set minimizing the two-dimensional Griffith energy
J. Eur. Math. Soc. (Accepted Paper) 2019

J. F. Babadjian, F. Iurlano, F. Rindler:
Concentration versus oscillation effects in brittle damage
Comm. Pure Appl. Math. (Accepted Paper) 2019

A. Baldi, G. Citti, G. Cupini:
Schauder estimates at the boundary for sub-laplacians in Carnot groups
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

A. Baldi, B. Franchi, P. Pansu:
{$L^1$-{P}oincar\'e inequalities for differential forms on {E}uclidean spaces and {H}eisenberg groups}
(Submitted Paper) 2019

P. Baldi, E. Haus, C. Mantegazza:
Existence of a LensShaped Cluster of Surfaces SelfShrinking by Mean Curvature
Math. Ann. Vol. 375, p. 1857-1881, 2019

M. Bardi, A. Goffi:
New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
Calc. Var. Partial Differential Equations Vol. 58, N. no. 184, p. 20, 2019

D. Barilari, U. Boscain, R. W. Neel:
Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group
Annales de la Faculté des Sciences de Toulouse Vol. 28, N. 4, p. 707-732, 2019

D. Barilari, S. Ivanov:
A Bonnet-Myers type theorem for quaternionic contact structures
Calc. Var. PDE Vol. 58, N. 37, 2019

D. Bartolucci, C. Gui, Y. Hu, A. Jevnikar, W. Yang:
Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions
Discrete Contin. Dyn. Syst. (Accepted Paper) 2019

D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang:
Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data
J. Diff. Eq. (Accepted Paper) 2019

E. Battaglia, F. Montefalcone, R. Monti:
Stability of hypersurfaces in the complex hyperbolic space
(Submitted Paper) 2019

E. Battaglia, R. Monti, A. Righini:
Stable hypersurfaces in the complex projective space
Annali di Matematica Pura ed Applicata (Accepted Paper) 2019

F. Baudoin, E. Grong, G. Molino, L. Rizzi:
Comparison theorems on H-type sub-Riemannian manifolds
(preprint) 2019

C. Bellettini, E. Le Donne:
Sets with constant normal in Carnot groups: properties and examples
(preprint) 2019

G. Bellettini, A. Elshorbagy:
On the square distance function from a manifold with boundary
(Submitted Paper) 2019

G. Bellettini, A. Elshorbagy, M. Paolini, R. Scala:
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
(Preprint) 2019

V. Benci, S. Nardulli, P. Piccione:
Multiple solutions for the Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint
Calculus of Variations and Partial Differential Equations Vol. 59, p. 31, 2019

J. Berendsen, V. Pagliari:
On the asymptotic behaviour of nonlocal perimeters
ESAIM: COCV (Accepted Paper) 2019

M. Bertalmío, V. Calatroni, V. Franceschi, B. Franceschiello, D. Prandi:
A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations.
(Proceedings) 2019

P. Bettiol, C. Mariconda:
On a new necessary condition in the Calculus of Variations for Lagrangians that are highly discontinuous in the state and velocity
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Vol. 30, N. 3, p. 649-663, 2019

G. Bevilacqua, L. Lussardi, A. Marzocchi:
Soap film spanning an elastic link
Quart. Appl. Math. Vol. 77, N. 3, p. 507-523, 2019

S. Bhargav, M. Carioni, P. Forré, T. Genewein, F. Nielsen, G. Patrini , R. Van den Berg, M. Welling:
Sinkhorn AutoEncoders
UAI (Proceedings) 2019

S. Biagi, G. Cupini, E. Mascolo:
Regularity of quasi-minimizers for non-uniformly elliptic integrals
(Submitted Paper) 2019

S. Bianchini, P. Bonicatto:
A uniqueness result for the decomposition of vector fields in $\mathbb R^d$
Inventiones mathematicae (Accepted Paper) 2019

S. Bianchini, P. Bonicatto:
Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture
(Proceedings) 2019

U. Bindini, L. De Pascale:
From wave-functions to single electron densities
(Submitted Paper) 2019

M. Bonacini, E. Davoli, M. Morandotti:
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
NoDEA 2019

M. Bonafini, M. Novaga, G. Orlandi:
A variational scheme for hyperbolic obstacle problems
Nonlinear Analysis Vol. 188, p. 389-404, 2019

M. Bonafini, G. Orlandi, E. Oudet:
Variational approximation of functionals defined on 1-dimensional connected sets in $\mathbb{R}^n$
Advances in Calculus of Variations p. 17, 2019

G. A. Bonaschi, R. Rossi:
Generation of Balanced Viscosity solutions to rate-independent systems via variational convergence
Annali di Matematica Pura ed Applicata (Accepted Paper) 2019

P. Bonicatto:
Uniqueness and non-uniqueness of signed measure-valued solutions to the continuity equation
(Proceedings) 2019

P. Bonicatto, N. Gusev:
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Vol. 30, N. 3, p. 511-531, 2019

P. Bonicatto, N. Gusev:
On the structure of divergence-free measures on $\mathbb R^2$
(Submitted Paper) 2019

P. Bonicatto, E. Marconi:
Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$
Comm. in Partial Diff. Equations (Accepted Paper) 2019

P. Bonicatto, E. Pasqualetto, T. Rajala:
Indecomposable sets of finite perimeter in doubling metric measure spaces
(Preprint) p. 32, 2019

S. Borghini, L. Mazzieri:
Monotonicity formulas for static metrics with non-zero cosmological  constant
Contemporary Research in Elliptic PDE's and Related Topics 2019

W. Borrelli, R. Carlone, L. Tentarelli:
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
Symmetry Vol. 11, N. 2, p. art. 169, 22pp, 2019

W. Borrelli, R. Carlone, L. Tentarelli:
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound  States And Nonrelativistic Limit
SIAM J. Math. Anal. Vol. 51, N. 2, p. 1046-1081, 2019

G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale:
Relaxed multi-marginal costs and quantization effects
(Preprint) 2019

P. Bousquet, L. Brasco:
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
Rev. Mat. Iberoam. (Accepted Paper) p. 38, 2019

P. Bousquet, G. Csato:
The equation div$u$+$\langle a, u \rangle=f$
(preprint) 2019

J. E. M. Braga, A. Figalli, D. Moreira:
Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations
Comm. Math. Phys. (Accepted Paper) 2019

A. Braides, V. Chiadò Piat:
Homogenization of networks in domains with oscillating boundaries
Applicable Analysis Vol. 98, p. 45-63, 2019

L. Brasco:
On principal frequencies and isoperimetric ratios in convex sets
Ann. Fac. Sci. Toulouse Math. (Accepted Paper) p. 25, 2019

L. Brasco, G. Franzina:
An overview on constrained critical points of Dirichlet integrals
Rendiconti Sem. Mat. Univ. Pol. Torino (Accepted Paper) p. 42, 2019

L. Brasco, E. Lindgren, M. Stromqvist:
Continuity of solutions to a nonlinear fractional diffusion equation
J. Evol. Equ. (Accepted Paper) p. 46, 2019

L. Brasco, D. Mazzoleni:
On principal frequencies, volume and inradius in convex sets
NoDEA (Accepted Paper) 2019

K. Bredies, M. Carioni:
Sparsity of solutions for variational inverse problems with finite-dimensional data
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

E. Bruè, Q. H. Nguyen:
Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts
Mathematische Annalen 2019

E. Bruè, Q. H. Nguyen, G. Stefani:
A maximal function characterization of absolutely continuous measures and Sobolev functions
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Vol. 30, N. 3, p. 599--614, 2019

E. Bruè, E. Pasqualetto, D. Semola:
Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces
Journal of the European Mathematical Society (JEMS) 2019

T. Buckmaster, C. De Lellis, L. J. Székelyhidi, V. Vicol:
Onsager's conjecture for admissible weak solutions
Comm. Pure Appl. Math. Vol. 72, N. 2, p. 229-274, 2019

C. Bucur, M. Squassina:
Approximate convexity principles and applications to PDEs in convex domains
(Preprint) p. 20, 2019

D. Bucur, S. Cito:
Geometric control of the  Robin Laplacian eigenvalues: the case of negative boundary parameter
Journal of Geometric Analysis 2019

D. Bucur, I. Fragalà, A. Giacomini:
The Multiphase Mumford-Shah Problem
(Submitted Paper) 2019

D. Bucur, A. Giacomini, P. Trebeschi:
$L^\infty$ bounds of Steklov eigenfunctions and spectrum stability under domain variation
(Submitted Paper) 2019

G. Buttazzo, J. Casado-Diaz, F. Maestre:
On the existence of optimal potentials on unbounded domains
(Preprint) 2019

G. Buttazzo, H. Shrivastava:
Optimal shapes for general integral functionals
Annales Henry Lebesgue 2019

R. Buzano, R. Haslhofer, O. Hershkovits:
The moduli space of two-convex embedded tori
International Mathematics Research Notices IMRN Vol. 2019, 2019

R. Buzano, H. T. Nguyen:
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional  manifolds
Communications in Analysis and Geometry Vol. 27, N. 8, 2019

R. Buzano, H. T. Nguyen:
The higher-dimensional Chern-Gauss-Bonnet formula for singular  conformally flat manifolds
Journal of Geometric Analysis Vol. 29, 2019

F. Cagnetti:
Rigidity for Perimeter Inequalities under symmetrization:  state of the art and open problems
Portugaliae Mathematica (Accepted Paper) 2019

F. Cagnetti, G. Dal Maso, L. Scardia, C. I. Zeppieri:
Stochastic Homogenisation of Free-Discontinuity Problems
Arch. Ration. Mech. Anal. Vol. 233, p. 935-974, 2019

F. Cagnetti, M. Perugini, D. Stöger:
Rigidity for perimeter inequality under spherical symmetrisation
Calc. Var. Partial Differential Equations 2019

F. Camilli, A. Goffi:
Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
NoDEA p. 30, 2019

G. Canevari, A. Majumdar, B. Stroffolini:
Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic  Energy
Archive for Rational Mechanics and Analysis (Accepted Paper) Vol. 233, N. April 2019, p. 1169-1210, 2019

G. Canevari, G. Orlandi:
Topological singular set of vector-valued maps, I: Applications to
  manifold-constrained Sobolev and BV spaces
Calc. Var. PDE (Accepted Paper) p. 45, 2019

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

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

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

M. Caponi:
On some mathematical problems in fracture dynamics
(Ph.D. Thesis) 2019

A. Carbotti, S. Dipierro, E. Valdinoci:
Local density of Solutions to Fractional Equations
(Lecture Notes) Vol. 74, p. 129, 2019

M. Carioni, A. Pluda:
On different notions of calibrations for minimal partitions and minimal networks in $\mathbb{R}^2$
Adv. Calc. Var. (Accepted Paper) 2019

R. Carlone, M. Correggi, L. Tentarelli:
Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation  with Concentrated Nonlinearity
Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 36, N. 1, p. 257-294, 2019

R. Carlone, D. Finco, L. Tentarelli:
Nonlinear singular perturbations of the fractional Schrödinger  equation in dimension one
Nonlinearity Vol. 32, N. 8, p. 3112-3143, 2019

A. Carlotto, C. De Lellis:
Min-max embedded geodesic lines on asymptotically conical surfaces
J. Differential Geom. Vol. 112, N. 3, p. 411-445, 2019

M. Caroccia, A. Chambolle, D. Slepev:
Mumford - Shah on graphs and their asymptotics
Nonlinearity (Accepted Paper) 2019

M. Caroccia, N. Van Goethem:
Damage-driven fracture with  low-order potentials: asymptotic behavior, existence and applications
ESAIM: M2AN (Accepted Paper) p. 41, 2019

J. A. Carrillo, J. Mateu, M. G. Mora, L. Rondi, L. Scardia, J. Verdera:
The ellipse law: Kirchhoff meets dislocations
Commun. Math. Phys. (Accepted Paper) 2019

J. A. Carrillo, J. Mateu, M. G. Mora, L. Rondi, L. Scardia, J. Verdera:
The equilibrium measure for an anisotropic nonlocal energy
Calc. Var. and PDEs (Preprint) 2019

D. Castorina, C. Mantegazza, B. Sciunzi:
A Liouville Theorem for Superlinear Heat Equations on Riemannian  Manifolds
Milan J. Math. Vol. 87, N. 2, p. 303-313, 2019

G. Catino, P. Mastrolia:
A potential generalization of some canonical Riemannian metrics
Ann. Glob. Anal. Geom. Vol. 55, N. 4, p. 719-748, 2019

G. Catino, P. Mastrolia:
Weyl scalars on compact Ricci solitons
J. Geom. Anal. Vol. 29, N. 4, p. 3328-3344, 2019

G. Catino, D. D. Monticelli, F. Punzo:
The Poisson equation on manifolds with positive essential spectrum
Calc. Var. Partial Differential Equations Vol. 58, N. 4, p. 146, 2019

J. A. Cañizo, C. Cao, J. Evans, H. Yoldas:
Hypocoercivity of linear kinetic equations via Harris's Theorem
(preprint) 2019

A. Cesaroni, M. Cirant, S. Dipierro, M. Novaga, E. Valdinoci:
On stationary fractional Mean Field Games
J. Math. Pures Appl. Vol. 122, p. 1-22, 2019

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci:
Fattening and nonfattening phenomena for planar nonlocal curvature flows
Math. Ann. Vol. 375, N. 1-2, p. 687736, 2019

A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci:
Minimizers of the $p$-oscillation functional
Discrete Contin. Dyn. Syst. A Vol. 39, N. 12, p. 6785-6799, 2019

A. Chambolle, V. Crismale:
A density result in $GSBD^p$ with applications to the approximation of  brittle fracture energies
Arch. Rational Mech. Anal. Vol. 232, N. 3, p. 1329-1378, 2019

A. Chambolle, V. Crismale:
Existence of strong solutions to the Dirichlet problem for the Griffith  energy
Calc. Var. Partial Differential Equations Vol. 58:136, 2019

A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione:
Existence and uniqueness for anisotropic and crystalline mean curvature flows
J. Amer. Math. Soc. Vol. 32, N. 3, p. 779824, 2019

A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione:
Generalized crystalline evolutions as limits of flows with smooth anisotropies
Anal. PDE Vol. 12, N. 3, p. 789-813, 2019

G. Q. Chen, G. E. Comi, M. Torres:
Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets
Arch. Ration. Mech. Anal. Vol. 233, N. 1, p. 87-166, 2019

J. H. Cheng, A. Malchiodi, P. Yang:
On the Sobolev quotient of three-dimensional CR manifolds
(Submitted Paper) p. 36, 2019

Y. Chitour, D. Prandi, L. Rizzi:
Weyl's law for singular Riemannian manifolds
J. Math. Pures Appl. Vol. 181, p. 113-151, 2019

O. Chodosh, M. Engelstein, L. Spolaor:
The Riemannian quantitative isoperimetric inequality
(Submitted Paper) 2019

I. Chowdhury, G. Csato, P. Roy, F. Sk:
Study of fractional Poincaré inequalities on unbounded domains
Discrete Continuous Dynam. Syst . 2019

M. Cicalese, M. Forster, G. Orlando:
Variational analysis of a two-dimensional frustrated spin system:  emergence and rigidity of chirality transitions
SIAM J. Math. Anal. Vol. 51, N. 2, p. 4848-4893, 2019

M. Cicalese, G. P. Leonardi:
Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities
Commun. Math. Phys. Vol. 375, p. 19311944, 2019

E. Cinti, F. Colasuonno:
A nonlocal supercritical Neumann problem
J. Differential Equations (Accepted Paper) 2019

S. Cito:
Existence and Regularity of Optimal Convex Shapes for Functionals Involving the Robin Eigenvalues
Journal of Convex Analysis Vol. 26, N. 3, p. 925-943, 2019

S. Cito:
Shape Optimization of Robin Eigenvalues
(Ph.D. Thesis) p. 179, 2019

M. Colombo, A. De Rosa, A. Marchese:
Stability for the mailing problem
J. Math. Pures Appl. 2019

M. Colombo, S. Di Marino, F. Stra:
Continuity of multi-marginal optimal transport with repulsive cost
(Submitted Paper) 2019

M. Colombo, M. Fathi:
Bounds on optimal transport maps onto log-concave measures
(Preprint) 2019

G. E. Comi, G. Stefani:
A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
Journal of Functional Analysis Vol. 277, N. 10, p. 3373-3435, 2019

D. Cordero-Erausquin, A. Figalli:
Regularity of monotone transport maps between unbounded domains
Discrete Contin. Dyn. Syst. (Accepted Paper) 2019

D. Cordero-Erausquin, B. Klartag, Q. Mérigot, F. Santambrogio:
One more proof of the AlexandrovFenchel inequality
Comptes Rendus Mathématique Vol. 357, N. 8, p. 676-680, 2019

S. Costea:
Sobolev-Lorentz capacity and its regularity in the Euclidean setting
Annales Academiae Scientiarum Fennicae Mathematica Vol. 44, p. 537-568, 2019

G. Crasta, A. Malusa:
Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers
Symmetry 2019

V. Crismale:
Density in $SBD$ and approximation of fracture energies
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Vol. 30, N. 3, p. 533-542, 2019

V. Crismale:
On the approximation of $SBD$ functions and some applications
SIAM J. Math. Anal. Vol. 51, N. 6, p. 5011-5048, 2019

R. Cristoferi, I. Fonseca:
Piecewise constant reconstruction of damaged color images
ESAIM: COCV Vol. 25, N. 37, 2019

R. Cristoferi, I. Fonseca, A. Hagerty, C. Popovici:
A homogenization result in the gradient theory of phase transitions
Interf. Free Boundaries Vol. 21, p. 367-408, 2019

G. Cupini, N. Fusco, E. Lanconelli, X. Zhong:
A sharp stability result for the Gauss mean value formula
J. Anal. Math. (Accepted Paper) 2019

G. Cupini, E. Lanconelli:
On Mean Value formulas for solutions to linear second order PDEs
(Submitted Paper) 2019

G. Dal Maso, C. J. Larsen, R. Toader:
Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition
J. Math. Pures Appl. (9) Vol. 127, p. 160-191, 2019

G. Dal Maso, R. Toader:
On the Cauchy problem for the wave equation on time-dependent domains
J. Differential Equations Vol. 266, p. 3209-3246, 2019

S. Daneri, A. Kerschbaum, E. Runa:
One-dimensionality of the minimizers for a diffuse interface generalized antiferromagnetic model in general dimension
(Submitted Paper) 2019

S. Daneri, E. Runa:
Exact periodic stripes for minimizers for a local/nonlocal interaction functional in general dimension
Arch. Rat. Mech. Anal. 2019

A. Davini:
Existence and uniqueness of solutions to parabolic equations with  superlinear Hamiltonians
Commun. Contemp. Math. Vol. 21, N. 1, 2019

E. Davoli, G. Di Fratta:
Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures
Journal of Nonlinear Science 2019

E. Davoli, R. Ferreira, C. Kreisbeck:
Homogenization in $BV$ of a model for layered composites in finite crystal plasticity
Adv. Calc. Var. 2019

E. Davoli, H. Ranetbauer, L. Scarpa, L. Trussardi:
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and  local asymptotics
Annales de l'Institut Henri Poincare. Analyse Non Lineaire 2019

E. Davoli, T. Roubicek, U. Stefanelli:
Dynamic perfect plasticity and damage in viscoelastic solids
ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 2019

E. Davoli, U. Stefanelli:
Dynamic perfect plasticity as convex minimization
SIAM Journal on Mathematical Analysis 2019

V. De Cicco, D. Giachetti, F. Oliva, F. Petitta:
Dirichlet problems for singular elliptic equations with general nonlinearities
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

C. De Filippis, G. Palatucci:
Hölder regularity for nonlocal double phase equations
J. Differential Equations Vol. 267, N. 1, p. 547--586, 2019

C. De Lellis, G. De Philippis, J. Hirsch:
Nonclassical minimizing surfaces with smooth boundary
J. Differential Geom. (Accepted Paper) 2019

C. De Lellis, G. De Philippis, B. Kirchheim, R. Tione:
Geometric measure theory and differential inclusions
Annales de la Faculte' des Sciences de Toulouse 2019

C. De Lellis, L. J. Székelyhidi:
On turbulence and geometry: from Nash to Onsager
Notices Amer. Math. Soc. Vol. 66, N. 5, p. 677-685, 2019

C. De Lellis, Z. Zhao:
Dirichlet energy-minimizers with analytic boundary
(Preprint) 2019

L. De Luca, M. Goldman, M. Strani:
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Math. Annalen Vol. 374, N. 3-4, p. 2041-2081, 2019

L. De Luca, M. Novaga, M. Ponsiglione:
$\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter
J. Nonlinear Sci. Vol. 29, N. 4, p. 1273-1299, 2019

G. De Philippis, A. De Rosa, J. Hirsch:
The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals
Discrete Contin. Dyn. Syst. 2019

G. De Philippis, J. Hirsch, G. Vescovo:
Regularity of minimizers for a model of charged droplets
Comm. Math. Phys. (Accepted Paper) 2019

G. De Philippis, M. Marini, E. Mukoseeva:
The  sharp quantitative isocapacitary inequality
(Submitted Paper) 2019

G. De Philippis, J. Núñez-Zimbrón:
The behavior of harmonic functions at singular points of $\mathsf{RCD}$
  spaces
(preprint) 2019

G. De Philippis, A. Pratelli:
The closure of planar diffeomorphisms in Sobolev spaces
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2019

G. De Philippis, F. Rindler:
Fine properties of functions of bounded deformation -- an approach via
  linear PDEs
(Survey paper) 2019

N. De Ponti:
Metric properties of homogeneous and spatially inhomogeneous  F-divergences
IEEE Transactions on Information Theory (Accepted Paper) 2019

N. De Ponti:
Optimal transport: entropic regularizations, geometry and diffusion PDEs
(Ph.D. Thesis) 2019

N. De Ponti, M. Muratori, C. Orrieri:
Wasserstein stability of porous medium-type equations on manifolds with  Ricci curvature bounded below
Journal of Functional Analysis (Accepted Paper) 2019

A. De Rosa, S. Gioffrè:
Quantitative stability for anisotropic nearly umbilical hypersurfaces
J. Geom. Anal. 2019

C. Debin, N. Gigli, E. Pasqualetto:
Quasi-continuous vector fields on RCD spaces
(preprint) 2019

M. Degiovanni, D. Mazzoleni:
Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measures
J. London Math. Soc. (Accepted Paper) 2019

G. Del Nin:
Some asymptotic results on the global shape of planar clusters
(Preprint) 2019

G. Del Nin, K. O. Idu:
Geometric criteria for $C^{1,\alpha}$ rectifiability
J. Lond. Math. Soc. (Accepted Paper) 2019

F. Della Pietra, G. Piscitelli:
Saturation phenomena for some classes of nonlinear nonlocal eigenvalue
  problems
(preprint) 2019

D. Di Donato:
Intrinsic Lipschitz graphs in Carnot groups of step 2
(preprint) 2019

D. Di Donato, K. Fässler, T. Orponen:
Metric rectifiability of $\mathbb{H}$-regular surfaces with Hölder
  continuous horizontal normal
(preprint) 2019

G. Di Fratta, V. Slastikov, A. Zarnescu:
On a sharp Poincaré-type inequality on the 2-sphere and its  application in micromagnetics
SIAM Journal on Mathematical Analysis Vol. 51, N. 4, 2019

S. Di Marino, A. Gerolin:
An Optimal Transport approach for the Schrödinger bridge problem and
  convergence of Sinkhorn algorithm
(preprint) 2019

G. Di Matteo:
Nondegeneracy of standard double bubbles
Proceedings of the American Mathematical Society Vol. 147, p. 4379-4395, 2019

S. Dipierro, M. Novaga, E. Valdinoci:
On a Minkowski geometric  flow in the plane:  Evolution of curves with lack of scale invariance
J. London Math. Soc. Vol. 99, N. 1, p. 31-51, 2019

N. Dirr, F. Dragoni, P. Mannucci, C. Marchi:
$\Gamma$- convergence and homogenisation for a class of degenerate functionals.
Nonlinear Analysis (Accepted Paper) 2019

S. Don, E. Le Donne, T. Moisala, D. Vittone:
A rectifiability result for finite-perimeter sets in Carnot groups
Indiana Univ. Math. J. (Accepted Paper) 2019

S. Don, A. Massaccesi, D. Vittone:
Rank-one theorem and subgraphs of BV functions in Carnot groups
J. Funct. Anal. Vol. 276, p. 687715, 2019

S. Don, D. Vittone:
A compactness result for BV functions in metric spaces
Ann. Acad. Sci. Fenn. Math. Vol. 44, p. 329339, 2019

S. Don, D. Vittone:
Fine properties of functions with bounded variation in  Carnot-Carathéodory spaces
J. Math. Anal. Appl. Vol. 479, p. 482530, 2019

P. W. Dondl, M. Novaga, B. Wirth, S. Wojtowytsch:
A Phase-field Approximation of the Perimeter under a Connectedness Constraint
SIAM J. Math. Anal. Vol. 51, N. 5, p. 39023920, 2019

S. Dovetta, L. Tentarelli:
$L^2$-critical NLS on noncompact metric graphs with localized  nonlinearity: topological and metric features
Calc. Var. Partial Differential Equations Vol. 58, N. 3, p. art. 108, 26pp, 2019

F. Dragoni, D. Filali:
Starshaped and convex sets in Carnot groups and in the geometries of vector fields.
Journal of Convex Analysis Vol. 24, N. 4, 2019

L. Dufloux:
Radial projections along chains
(Preprint) 2019

L. Dufloux:
The case of equality in the dichotomy of Mohammadi-Oh
Journal of Fractal Geometry Vol. 6, N. 4, p. 343-366, 2019

E. Durand-Cartagena, S. Eriksson-Bique, R. Korte, N. Shanmugalingam:
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$-Poincaré inequality
Advances in Calculus of Variations (Accepted Paper) 2019

S. Dweik:
$L^{p,q}$ estimates on the transport density
Communications on Pure and Applied Analysis (Accepted Paper) 2019

S. Dweik, N. Ghoussoub, Y. H. Kim, A. Z. Palmer:
Stochastic optimal transport with free end time
Annales de lInstitut Henri Poincaré, Probabilités et Statistiques (Accepted Paper) 2019

S. Dweik, N. Ghoussoub, A. Z. Palmer:
Optimal controlled transports with free end times subject to import/export tariffs
Journal of Dynamical and Control Systems (Accepted Paper) 2019

S. Dweik, W. Górny :
Least gradient problem on annuli
Analysis & PDE (Accepted Paper) 2019

S. Dweik, G. Mazanti:
Sharp semi-concavity in a non-autonomous control problem and $L^p$ estimates in an optimal-exit MFG
Nonlinear Differential Equations and Applications (Accepted Paper) 2019

N. Edelen, L. Spolaor:
Regularity of minimal surfaces near quadratic cones
(Submitted Paper) 2019

L. Esposito, P. Roy, F. Sk:
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded
Asymptotic Analysis 2019

P. Esposito, A. Malchiodi:
CRITICAL METRICS FOR LOG-DETERMINANT FUNCTIONALS IN CONFORMAL GEOMETRY
(Preprint) 2019

S. Fanzon, M. Palombaro, M. Ponsiglione:
Derivation of Linearised Polycrystals from a Two-Dimensional System of Edge Dislocations
SIAM Journal on Mathematical Analysis Vol. 51, N. 5, p. 3956-3981, 2019

A. Farina, B. Sciunzi, N. Soave:
Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
Communications in Contemporary Mathematics (Accepted Paper) 2019

R. Ferreira, D. Gomes, X. Yang:
Two-scale homogenization of a stationary mean-field game
(Preprint) 2019

R. Ferreira, E. Zappale:
Bending-torsion moments in thin multi-structures in the context of  nonlinear elasticity
Comm. Pure Appl. Anal. 2019

A. Figalli, M. J. Kang:
A rigorous derivation from the kinetic cucker-smale model to the pressureless euler system with nonlocal alignment
Anal. PDE (Accepted Paper) 2019

A. Figalli, J. Serra:
On the fine structure of the free boundary for the classical obstacle problem
Invent. Math. (Accepted Paper) 2019

M. Focardi, E. Spadaro:
The local structure of the free boundary in the fractional obstacle problem
Advances in Calculus of Variations (Accepted Paper) 2019

V. Franceschi, F. Montefalcone, R. Monti:
CMC spheres in the Heisenberg group
Analysis and Geometry in Metric Spaces (Accepted Paper) 2019

V. Franceschi, G. Stefani:
Symmetric double bubbles in the Grushin plane
ESAIM Control Optim. Calc. Var. Vol. 25, p. Paper No. 77, 37, 2019

E. Fried, L. Lussardi:
Monotonicity formulae for smooth extremizers of integral functionals
Rend. Lincei Mat. Appl. Vol. 30, N. 2, p. 365-377, 2019

M. Friedrich, L. Kreutz:
Finite crystallization and wulff shape emergence for ionic compounds in the square lattice
Nonlinearity 2019

M. Friedrich, E. Mainini, P. Piovano:
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Rendiconti Sem. Mat. Univ. Pol. Torino Vol. 77, N. 2, p. 79-98, 2019

G. Fusco, G. F. Gronchi, M. Novaga:
Existence of periodic orbits near heteroclinic connections
Minimax Theory Appl. Vol. 4, N. 1, p. 113-149, 2019

N. Fusco, S. Mukherjee, Y. R. Y. Zhang:
A variational characterisation of the second eigenvalue of the p-Laplacian on quasi open sets
Proc. London Math. Soc. Vol. 3, 2019

Z. Gang, S. Wang:
Precise asymptotics near a pinched disk singularity formed by mean
  curvature flow
(preprint) 2019

H. Garcke, J. Menzel, A. Pluda:
Willmore flow of planar networks
J. Differential Equations Vol. 266, N. 4, p. 2019-2051, 2019

N. Gavish, P. Nyquist, M. Peletier:
Large deviations and gradient flows for the Brownian one-dimensional
  hard-rod system
(preprint) 2019

A. Gerolin, A. Kausamo, T. Rajala:
Duality theory for multi-marginal optimal transport with repulsive costs  in metric spaces
ESAIM: COCV Vol. 25, N. 62, 2019

A. Gerolin, A. Kausamo, T. Rajala:
Non-existence of optimal transport maps for the multi-marginal repulsive  harmonic cost
SIAM Journal on Mathematical Analysis Vol. 51, N. 3, p. 23592371, 2019

A. Gerolin, A. Mallasto, G. Montúfar:
How Well Do WGANs Estimate the Wasserstein Metric?
(preprint) 2019

N. Gigli:
Riemann curvature tensor on ${\sf RCD}$ spaces and possible applications
(preprint) 2019

N. Gigli, A. Tyulenev:
Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows
(Preprint) 2019

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

P. Gladbach, H. Olbermann:
Energy scaling for a conically constrained sector
(preprint) 2019

A. Gloria, M. Ruf:
Loss of strong ellipticity through homogenization in 2D linear  elasticity: A phase diagram
Arch. Ration. Mech. Anal. Vol. 231, p. 845-886, 2019

M. Goldman:
A variational approach to regularity theory in optimal transportation
Actes du Séminaire Laurent Schwartz (Proceedings) N. 13, p. 14, 2019

M. Goldman, M. Huesmann, F. Otto:
Quantitative linearization results for the Monge-Ampère equation
CPAM (Accepted Paper) 2019

M. Goldman, B. Merlet:
Recent results on non-convex functionals penalizing oblique oscillations
Rend. Sem. Mat. Torino (Accepted Paper) 2019

P. J. Graber, A. R. Mészáros, F. Silva, D. Tonon:
The planning problem in Mean Field Games as regularized mass transport
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

D. Grandi, M. Kruzik, E. Mainini, U. Stefanelli:
A phase-field approach to Eulerian interfacial energies
Arch. Ration. Mech. Anal. 2019

G. Gravina, G. Leoni:
On the behavior of the free boundary for a one-phase Bernoulli problem
  with mixed boundary conditions
(preprint) 2019

B. Han:
Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds
(Preprint) 2019

B. Han:
The sharp $p$-Poincaré inequality under the measure contraction  property
Manuscripta Mathematica (Accepted Paper) 2019

B. Han, E. Milman:
Sharp Poincare inequality under Measure Contraction Property
(Preprint) 2019

B. Han, K. T. Sturm:
Curvature-dimension conditions for diffusions under time change
(preprint) p. 23, 2019

A. Hassannezhad, A. Siffert:
Escobar constants of planar domains
(preprint) 2019

J. Hirsch, S. Stuvard, D. Valtorta:
Rectifiability of the singular set of multiple valued energy minimizing  harmonic maps
Trans. Amer. Math. Soc. Vol. 371, N. 6, p. 4303-4352, 2019

A. Iannizzotto, S. J. N. Mosconi, M. Squassina:
Sobolev versus Holder minimizers for the degenerate fractional $p$-Laplacian
(Preprint) 2019

R. Jones, P. Lahti, N. Shanmugalingam:
Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry
Indiana University Math. J. (Accepted Paper) 2019

V. Kapovitch, A. Mondino:
On the topology and the boundary of $N$-dimensional $RCD(K,N)$ spaces
Geometry & Topology (Accepted Paper) 2019

D. Knees, C. Zanini:
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
(Submitted Paper) 2019

H. Kovarik, K. Pankrashkin:
Robin eigenvalues on domains with peaks
J. Differential Equations Vol. 267, p. 1600-1630, 2019

S. Krantz, M. Peloso, D. Spector:
Some remarks on $L^1$ embeddings in the subelliptic setting
(Preprint) p. 10 pages, 2019

C. Kreisbeck, E. Zappale:
Loss of double-integral character during relaxation
SIAM SIMA (Accepted Paper) 2019

S. Kryzhevich, E. Stepanov:
The saga of a fish: from a survival guide to closing lemmas
J. Differential Equations Vol. 267, N. 6, p. 3442-3474, 2019

T. Lamm, A. Malchiodi, M. Micallef:
A gap theorem for $\alpha$-harmonic maps between two-spheres
(Submitted Paper) p. 9, 2019

H. Lavenant:
Optimal curves and mappings valued in the Wasserstein space
(Phd Thesis) 2019

H. Lavenant:
Unconditional convergence for discretizations of dynamical optimal transport
Mathematics of Computation (Accepted Paper) 2019

G. Lazzaroni, L. Nardini:
On the 1d wave equation in time-dependent domains and the problem of debond initiation
ESAIM: COCV Vol. 25, N. 80, 2019

E. Le Donne, D. Lui, E. Pasqualetto:
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds
Potential Analysis (Accepted Paper) 2019

E. Le Donne, S. Nicolussi Golo:
Metric Lie groups admitting dilations
(preprint) 2019

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

E. Le Donne, R. Züst:
Space of signatures as inverse limits of Carnot groups
(preprint) 2019

M. Lewicka, D. Lui:
Dimension reduction for thin films with transversally varying prestrain:
  the oscillatory and the non-oscillatory case
Communications on Pure and Applied Mathematics (Accepted Paper) 2019

P. Liu, X. Y. Lu:
Real order (an)-isotropic total variation in image processing - Part II:  Learning of optimal structures
(Submitted Paper) 2019

A. Lorent, G. Peng:
On the Rank-$1$ convex hull of a set arising from a hyperbolic system of Lagrangian elasticity
(Submitted Paper) 2019

X. Y. Lu, A. Rinaldo, D. Wang:
DBSCAN: Optimal Rates For Density Based Clustering
(Submitted Paper) 2019

L. Lussardi:
The Plateau problem in the Calculus of Variations
Rend. Sem. Mat. Univ. Pol. Torino Vol. 77, N. 1, p. 45-82, 2019

D. Lui, E. Pasqualetto, T. Rajala:
Sharp estimate on the inner distance in planar domains
(Preprint) 2019

F. Maddalena, D. Percivale, F. Tomarelli:
A new variational approach to linearization of traction problems in elasticity
p. 1 - 16, 2019

F. Maddalena, D. Percivale, F. Tomarelli:
The Gap Between Linear Elasticity and the Variational Limit of Finite Elasticity in Pure Traction Problems
Arch Rational Mech Anal (2019) (Accepted Paper) p. 1-30, 2019

F. Maggi, A. Scardicchio, S. Stuvard:
Soap films with gravity and almost-minimal surfaces
Discrete Cont. Dyn. Syst. 2019

V. Magnani:
Towards a theory of area in homogeneous groups
Calc. Var. Partial Differential Equations Vol. 58, N. 3, p. 39, 2019

V. Magnani, A. Pinamonti, G. Speight:
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups
Ann. Mat. Pura Appl. 2019

E. Mainini, P. Piovano, B. Schmidt, U. Stefanelli:
$N^{3/4}$ law in the cubic lattice
J. Stat. Phys. Vol. 176, N. 6, p. 1480-1499, 2019

A. Malchiodi, M. Mayer:
Prescribing Morse scalar curvatures: pinching and Morse theory
(Preprint) p. 32, 2019

C. Mantegazza, M. Novaga, A. Pluda:
Lectures on Curvature Flow of Networks
Springer INdAM Series (Lecture Notes) Vol. 33, p. 369-417, 2019

A. Marchese, A. Massaccesi, R. Tione:
A multi-material transport problem and its convex relaxation via rectifiable G-currents
SIAM J. Math. Anal. Vol. 51, N. 3, p. 1965-1998, 2019

E. Marconi:
On the structure of weak solutions to scalar conservation laws with finite entropy production
Calc. Var. PDEs (Accepted Paper) 2019

L. Mari, M. Rigoli, A. Setti:
On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake  distances under Ricci lower bounds
Accepted on Amer. J. Math. (preprint) 2019

A. Massaccesi, D. Vittone:
An elementary proof of the rank-one theorem for BV functions
J. Eur. Math. Soc. (JEMS) Vol. 21, p. 32553258, 2019

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

M. Mayer:
Prescribing Morse scalar curvatures: critical points at infinity
(preprint) 2019

M. Mayer:
Prescribing Morse scalar curvatures: critical points at infinity
(Submitted Paper) 2019

D. Mazzoleni, B. Pellacci, G. Verzini:
Quantitative analysis of a singularly perturbed shape optimization problem in a polygon
(Preprint) 2019

D. Mazzoleni, A. Pratelli:
Some estimates for the higher eigenvalues of sets close to the ball
J. Spectral Theory 2019

U. Menne, M. Santilli:
A geometric second-order-rectifiable stratification for closed subsets  of Euclidean space
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 19(3) (2019), 2019

A. C. G. Mennucci:
Designing metrics; the delta metric for curves
ESAIM: COCV Vol. 25, N. 59, 2019

A. C. G. Mennucci:
On Perimeters and Volumes of Fattened Sets
International Journal of Mathematics and Mathematical Sciences Vol. 2019, 2019

A. C. G. Mennucci:
Some examples of Riemannian metrics of curves
(Lecture Notes) 2019

G. Mercier, M. Novaga, P. Pozzi:
Anisotropic curvature flow of immersed curves
Comm. Anal. Geom. Vol. 27, N. 4, p. 937-964, 2019

A. Merlo:
Full non-differentiability sets of typical Lipschitz functions
(Submitted Paper) 2019

I. A. Minlend, A. Niang, E. H. A. Thiam:
Multiply-periodic hypersurfaces with constant nonlocal mean curvature
ESAIM : COCV (Accepted Paper) p. 36, 2019

O. Misiats, I. Topaloglu, D. Vasiliu:
Singular perturbation of an elastic energy with a singular weight
(preprint) 2019

S. Modena, G. Sattig:
Convex integration solutions to the transport equation with full
  dimensional concentration
(preprint) 2019

R. Molinarolo:
Existence of solutions for a singularly perturbed nonlinear  non-autonomous transmission problem
Electronic Journal of Differential Equations Vol. 2019, N. 53, p. 1-29, 2019

R. Monti, D. Morbidelli:
John and uniform domains in generalized Siegel boundaries
Potential Analysis (Accepted Paper) 2019

R. Monti, M. Zaccaron:
Height estimate and Lipschitz approximation for geodesics in Carnot groups
(Submitted Paper) 2019

M. Morandotti, P. van Meurs:
Discrete-to-continuum limits of particles with an annihilation rule
SIAM J. App. Math. Vol. 79, N. 5, p. 1940-1966, 2019

E. Moreira Dos Santos, G. Nornberg, N. Soave:
On unique continuation principles for some elliptic systems
Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 2019

E. Mukoseeva, G. Vescovo:
Minimality of the ball for a model of charged liquid droplets
(Submitted Paper) 2019

A. Muñoz Flores, S. Nardulli:
Local Hölder continuity of the isoperimetric profile in complete
  noncompact Riemannian manifolds with bounded geometry
Geometriae Dedicata Vol. 201, N. 1, p. 1-12, 2019

C. P. Nguyen, Q. H. Nguyen:
Pointwise gradient estimates for  a class of singular  quasilinear equation with measure data
Journal of Functional Analysis (Accepted Paper) 2019

H. M. Nguyen, M. Squassina:
On Hardy and Caffarelli-Kohn-Nirenberg inequalities
Journal d'Analyse Mathématique 2019

A. Niang:
Boundary regularity for a degenerate elliptic equation with mixed boundary conditions
Communications on Pure and Applied Analysis Vol. 18, N. 1, p. 22, 2019

F. Onoue:
Nonexistence of Minimizers for a Nonlocal Perimeter Functional with a Riesz and a Background Potential
Rendiconti del Seminario Matematico della Università di Padova (Accepted Paper) 2019

A. Ottazzi, D. Vittone:
On the codimension of the abnormal set in step two Carnot groups
ESAIM Control Optim. Calc. Var. Vol. 25, 2019

V. Pagliari:
Asymptotic behaviour of rescaled nonlocal functionals and evolutions
(Ph.D. Thesis) 2019

V. Pagliari:
Halfspaces minimise nonlocal perimeter: a proof via calibrations
Annali di Matematica Pura ed Applicata (Accepted Paper) 2019

P. Pansu, F. Tripaldi:
Averages and the $\ell^{q,1}$-cohomology of Heisenberg groups
Annales Mathematiques Blaise Pascal Vol. 26, N. 1, p. 81-100, 2019

G. Paoli, G. Piscitelli, L. Trani:
Sharp estimates for the first $p$-Laplacian eigenvalue and for the
  $p$-torsional rigidity on convex sets with holes
(preprint) 2019

E. Pasqualetto:
Direct and inverse limits of normed modules
(Preprint) 2019

P. Pegon, F. Santambrogio, Q. Xia:
A fractal shape optimization problem in branched transport
Journal de Mathématiques Pures et Appliquées Vol. 123, p. 244-269, 2019

X. Pellet, L. Scardia, C. I. Zeppieri:
Homogenization of high-contrast Mumford-Shah energies
SIAM J. Math. Anal. Vol. 51, N. 3, p. 1696--1729, 2019

M. Piantoni:
Principi di Convessità ed applicazioni alle Equazioni Differenziali alle Derivate Parziali in domini convessi
(Degree Thesis) 2019

A. Pinamonti, G. Speight:
Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step
Israel Journal of Mathematics (Accepted Paper) 2019

L. Portinale, U. Stefanelli:
Penalization via global functionals of optimal-control problems for  dissipative evolution
Advances in Mathematical Sciences and Applications 2019

A. Pratelli, E. Radici:
Approximation of planar BV homeomorphisms by diffeomorphisms
Journal of Functional Analysis 2019

B. Raita, A. Skorobogatova:
Continuity and canceling operators of order $n$ on $\mathbb{R}^n$
(preprint) 2019

B. Raita, D. Spector:
A Note on Estimates for Elliptic Systems with $L^1$ Data
(Preprint) p. 8 pages, 2019

R. Rios-Zertuche:
Weak KAM theory in higher-dimensional holonomic measure flows
(preprint) 2019

Rishabh S. Gvalani, A. Schlichting:
Barriers of the McKean--Vlasov energy via a mountain pass theorem in the
  space of probability measures
(preprint) 2019

F. Riva:
A continuous dependence result for a dynamic debonding model in dimension one
Milan Journal of Mathematics Vol. 87, N. 2, p. 315-350, 2019

R. Rossi:
Visco-Energetic solutions to some rate-independent systems in  damage, delamination,  and plasticity
Mathematical Models and Methods in the Applied Sciences (Accepted Paper) 2019

R. Rossi, U. Stefanelli, M. Thomas:
Rate-independent evolution of sets
(Submitted Paper) 2019

L. Ruffoni, F. Tripaldi:
Extending an example by Colding and Minicozzi
The Journal of Geometric Analysis Vol. 30, p. 10281041, 2019

E. Russ, B. Trey, B. Velichkov:
Existence and regularity of optimal shapes for elliptic operators with drift
Calc. Var. PDE 2019

M. Santilli:
Rectifiability and approximate differentiability of higher order for  sets
Indiana Univ. Math. J Vol. 68 (2019), 2019

A. Saracco, G. Saracco:
A discrete districting plan
Netw. Heterog. Media Vol. 14, N. 4, p. 771--788, 2019

G. Savaré:
Sobolev spaces in extended metric-measure spaces
(preprint) 2019

G. Scilla, F. Solombrino:
A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension
J. Differential Equations Vol. 267, p. 6216-6264, 2019

N. Shanmugalingam:
$p$-hyperbolicity of ends and families of paths in metric spaces
(Proceedings) 2019

N. Soave, S. Terracini:
The nodal set of solutions to some elliptic problems: singular nonlinearities
Journal de Mathématiques Pures et Appliquées Vol. 128, 2019

D. Spector:
A Noninequality for the Fractional Gradient
(preprint) 2019

D. Spector:
New Directions in Harmonic Analysis on $L^1$
(preprint) 2019

S. Stuvard:
Multiple valued Jacobi fields
Calc. Var. Partial Differential Equations Vol. 58, N. 3, p. 83, 2019

L. Tamanini:
From Harnack inequality to heat kernel estimates on metric measure spaces and applications
(Preprint) 2019

E. Tasso:
On the blow-up of GSBV functions under suitable geometric properties of the jump set
Advances in Calculus of Variations (Accepted Paper) 2019

E. Tasso:
Weak formulation of elastodynamics in domains with growing cracks
Annali di Matematica Pura ed Applicata (Accepted Paper) 2019

L. Tentarelli, P. Tilli:
An existence result for dissipative nonhomogeneous hyperbolic equations  via a minimization approach
J. Differential Equations Vol. 266, N. 8, p. 5185-5208, 2019

P. Tilli, D. Zucco:
Optimal partitioning of an interval and applications to Sturm-Liouville  eigenvalues
Journal of Differential Equations (Accepted Paper) 2019

G. Tortone, A. Zilio:
Regularity results for segregated configurations involving fractional  Laplacian
Nonlinear Analysis 2019

F. Tripaldi:
On the topology of surfaces with the generalised simple lift property
Geometriae Dedicata Vol. 204, p. 285298, 2019

D. Zucco:
Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

A. Zuniga:
Continuity of minimizers to weighted least gradient problems
Nonlinear Analysis Vol. 178, p. 86--109, 2019