- S. Di Marino - M. Squassina - (Preprint)

New characterizations of Sobolev metric spaces (2018) - V. Agostiniani - M. Fogagnolo - L. Mazzieri (
*Inventiones Mathematicae*)

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature (2018) - A. Agrachev - D. Barilari - L. Rizzi (
*Memoirs of the AMS*)

Curvature: a variational approach (2018) - G. Alberti - G. Crippa - A. L. Mazzucato (Accepted Paper:
*Journal of the American Mathematical Society*)

Exponential self-similar mixing by incompressible flows (2018) - G. Alberti - G. Crippa - A. L. Mazzucato (Submitted Paper)

Loss of regularity for the continuity equation with non-Lipschitz velocity field (2018) - R. Alicandro - G. Dal Maso - G. Lazzaroni - M. Palombaro (
*Arch. Ration. Mech. Anal.*)

Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals (2018) - R. Alicandro - G. Lazzaroni - M. Palombaro (
*Netw. Heterog. Media*)

Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours (2018) - B. Allen - L. Hernandez-Vazquez - D. Parise - A. Payne - S. Wang (
*Geometriae Dedicata*)

Warped Tori with Almost Non-Negative Scalar Curvature (2018) - S. Almi - I. Lucardesi (
*NoDEA*)

Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks (2018) - L. Ambrosio (Submitted Paper)

Calculus, heat flow and curvature-dimension bounds in metric measure spaces (2018) - L. Ambrosio - G. E. Comi (
*Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg*)

Anisotropic surface measures as limits of volume fractions (2018) - L. Ambrosio - C. De Lellis - T. Schmidt (
*J. Reine Angew. Math.*)

Partial regularity for mass-minimizing currents in Hilbert spaces (2018) - L. Ambrosio - M. Fornasier - M. Morandotti - G. Savaré (Accepted Paper:
*CPAM*)

Spatially Inhomogeneous Evolutionary Games (2018) - L. Ambrosio - F. Glaudo (Submitted Paper)

Finer estimates on the 2-dimensional matching problem (2018) - L. Ambrosio - S. Honda - D. Tewodrose (
*Annals of Global Analysis and Geometry*)

Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces (2018) - L. Ambrosio - A. Ponce - R. Rodiac (Accepted Paper:
*Revista Matemática Iberoamericana*)

Critical weak-$L^{p}$ differentiability of singular integrals (2018) - F. Ancona - A. Cesaroni - G. M. Coclite - M. Garavello (
*SIAM J. Control Optim.*)

On the optimization of conservation law models at a junction with inflow and flow distribution controls (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - Ankik Kumar Giri (preprint)

Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - Ankik Kumar Giri (preprint)

Global classical solutions to the continuous coagulation equation with collisional breakage (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - Ankik Kumar Giri (preprint)

Weak solutions to the continuous coagulation model with collisional breakage (2018) - N. Ansini (Proceedings:
*Mathematical Analysis of Continuum Mechanics and Industrial Applications II. Proceedings of the International Conference CoMFoS16.*)

Gradient Flows with Wiggly Potential: A Variational Approach to Dynamics (2018) - A. Ardentov - E. Le Donne - Y. Sachkov (Submitted Paper)

A sub-Finsler problem on the Cartan group (2018) - A. Ardentov - E. Le Donne - Y. Sachkov (Submitted Paper)

Sub-Finsler geodesics on the Cartan group (2018) - A. Arroyo-Rabasa (Accepted Paper:
*Proceedings of the American Mathematical Society*)

An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint (2018) - A. Arroyo-Rabasa - G. De Philippis - J. Hirsch - F. Rindler (Accepted Paper:
*Geom. Funct. Anal.*)

Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK (preprint:
*Evolution Equations & Control Theory*)

Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - A. K. Giri (preprint:
*Kinetic and Related Models*)

A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation (2018) - P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - A. K. Giri - P. Laurençot (preprint:
*Proceedings of Royal Society Edinburgh Section A: Mathematics*)

Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel (2018) - A. Bach (
*ESAIM: Control Optim. Calc. Var.*)

Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals (2018) - R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (
*Commun. Math. Phys.*)

$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2018) - P. Baldi - E. Haus - C. Mantegazza (
*Comm. PDE*)

Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature (2018) - A. Barbagallo - G. Scilla (
*J. Math. Anal. Appl.*)

Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model (2018) - M. Barchiesi (
*Arch. Ration. Mech. Anal.*)

Toughening by crack deflection in the homogenization of brittle composites with soft inclusions (2018) - D. Barilari - F. Boarotto (
*Journal of Evolution Equations*)

Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature (2018) - D. Barilari - F. Boarotto (
*SIAM Journal of Control and Optimization*)

On the set of points of smoothness for the value function for affine optimal control problems (2018) - D. Barilari - L. Rizzi (
*Inventiones Mathematicae*)

Sub-Riemannian interpolation inequalities (2018) - P. Baroni (Submitted Paper)

On the relation between generalized Morrey spaces and measure data problems (2018) - P. Baroni - M. Colombo - G. Mingione (
*Calc. Var. Partial Differ. Equ.*)

Regularity for general functionals with double phase (2018) - D. Bartolucci - C. Gui - A. Jevnikar - A. Moradifam (Accepted Paper:
*Math. Ann.*)

A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations (2018) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*Comm. PDEs*)

Local uniqueness of $m$-bubbling sequences for the Gel'fand equation (2018) - D. Bartolucci - A. Jevnikar - C. S. Lin (Accepted Paper:
*J. Diff. Eq.*)

Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains (2018) - L. Beck - M. Bulíček - F. Gmeineder (preprint)

On a Neumann problem for variational functionals of linear growth (2018) - L. Beck - M. Bulíček - E. Maringová (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

Globally Lipschitz minimizers for variational problems with linear growth (2018) - L. Beck - G. Mingione (preprint)

Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems (2018) - J. D. Benamou - G. Carlier - S. Di Marino - L. Nenna (Accepted Paper:
*M3AS*)

An entropy minimization approach to second-order variational mean field games (2018) - J. D. Benamou - G. Carlier - L. Nenna (Accepted Paper:
*Numerische Mathematik*)

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm (2018) - E. Berchio - D. Buoso - F. Gazzola - D. Zucco (
*JOTA*)

A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates (2018) - J. Bernstein - S. Wang (Accepted Paper:
*Communications in Analysis and Geometry*)

The level set flow of a hypersurface in $\mathbb R^4$ of low entropy does not disconnect (2018) - J. Bertrand - A. Pratelli - M. Puel (
*J. Math. Pures Appl.*)

Kantorovich potentials and continuity of total cost for relativistic cost functions (2018) - G. Bevilacqua - L. Lussardi - A. Marzocchi (
*Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.*)

Soap film spanning electrically repulsive elastic protein links (2018) - S. Bianchini - P. Bonicatto (
*Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg*)

Failure of the chain rule in the non steady two-dimensional setting (2018) - S. Bianchini - S. Daneri (
*Memoires of the American Mathematical Society*)

On Sudakov's type decomposition of transference plans with norm costs (2018) - Q. H. Nguyen - M. F. Bidaut-Véron - L. Véron (Submitted Paper)

Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data (2018) - B. Bogosel - A. Henrot - I. Lucardesi (
*SIAM J. Math. Anal.*)

Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint (2018) - M. Bonafini - G. Orlandi - E. Oudet (
*SIAM J. Math. Anal.*)

Variational approximation of functionals defined on 1-dimensional connected sets: the planar case (2018) - M. Bonforte - A. Figalli - J. L. Vazquez (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations (2018) - P. Bonicatto (Proceedings:
*Theory, Numerics and Applications of Hyperbolic Problems I*)

On uniqueness of weak solutions to transport equation with non-smooth velocity field (2018) - W. Borrelli (
*Journal of Mathematical Physics*)

Multiple solutions for a self-consistent Dirac equation in two dimensions (2018) - W. Borrelli (
*Calc. Var. Partial Differential Equations*)

Weakly localized states for nonlinear Dirac equations (2018) - G. Bouchitté - G. Buttazzo - T. Champion - L. De Pascale (Submitted Paper)

Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (2018) - D. Bourne - D. Cushing - S. Liu - F. Münch - N. Peyerimhoff (
*SIAM Journal on Discrete Mathematics*)

Ollivier-Ricci idleness functions of graphs (2018) - D. Bourne - B. Schmitzer - B. Wirth (Submitted Paper)

Semi-discrete unbalanced optimal transport and quantization (2018) - A. Braides (Book Chapter- Trends in Applications of Mathematics to Mechanics (E.Rocca et al, eds) Springer)

Rigidity effects for antiferromagnetic thin films: a prototypical example (2018) - A. Braides - A. Causin - A. Piatnitski - M. Solci (
*J. Stat. Phys.*)

Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime (2018) - A. Braides - A. Causin - M. Solci (
*Proceedings A. Roy. Soc. London*)

A homogenization result for interacting elastic and brittle media (2018) - A. Braides - A. Causin - M. Solci (
*Ann.Mat.Pura Appl*)

Asymptotic analysis of a ferromagnetic Ising system with "diffuse" interfacial energy (2018) - A. Braides - M. Cicalese - M. Ruf (
*Analysis & PDE*)

Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2018) - A. Braides - L. Kreutz (
*SIAM J. Math. Anal.*)

An integral-representation result for continuum limits of discrete energies with multi-body interactions (2018) - A. Braides - L. Kreutz (
*Calc. Var. Partial Diff. Equations*)

Design of lattice surface energies (2018) - A. Braides - V. Vallocchia (
*Acta Applicandae Mathematicae*)

Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals (2018) - A. Brancolini - B. Wirth (
*Calculus of Variations and Partial Differential Equations*)

General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary (2018) - L. Brasco (Accepted Paper:
*Bruno Pini Math. Anal. Semin.*)

On principal frequencies and inradius in convex sets (2018) - L. Brasco - E. Lindgren - A. Schikorra (Accepted Paper:
*Adv. Math.*)

Higher Holder regularity for the fractional $p-$Laplacian in the superquadratic case (2018) - L. Brasco - A. Salort (Accepted Paper:
*Ann. Mat. Pura Appl.*)

A note on homogeneous Sobolev spaces of fractional order (2018) - E. Bruè - S. Di Marino - F. Stra (Accepted Paper:
*Journal of Functional Analysis*)

Linear Lipschitz and $C^1$ extension operators through random projections (2018) - E. Bruè - Q. H. Nguyen (Accepted Paper:
*Advances in Nonlinear Analysis*)

On the Sobolev space of functions with derivative of logarithmic order (2018) - E. Bruè - Q. H. Nguyen (Accepted Paper:
*Analysis and PDE*)

Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields (2018) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)

Local minimality results for the Mumford-Shah functional via monotonicity (2018) - D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)

Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results (2018) - D. Bucur - I. Fragalà - A. Giacomini (preprint)

Optimal partitions for Robin Laplacian eigenvalues (2018) - D. Bucur - A. Henrot (Submitted Paper)

Maximization of the second non-trivial Neumann eigenvalue (2018) - M. van den Berg - D. Bucur (preprint)

Sign changing solutions of Poisson's equation (2018) - R. Buzano - B. Sharp (
*Transactions of the American Mathematical Society*)

Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area (2018) - X. Cabré - G. Poggesi (preprint)

Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions (2018) - F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

$\Gamma$-convergence of free-discontinuity problems (2018) - D. Campbell - S. Hencl - A. Kauranen - E. Radici (
*Nonlinear Analysis*)

Strict limits of planar BV homeomorphisms (2018) - G. Canevari - A. Majumdar - B. Stroffolini (Preprint:
*to appear in Archive for Rational Mechanics and Analysis*)

Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic Energy (2018) - Y. Wang - G. Canevari - A. Majumdar (preprint)

Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau-de Gennes Study (2018) - P. Cannarsa - G. Floridia - M. Yamamoto (preprint)

Observability inequalities for transport equations through Carleman estimates (2018) - A. Carbotti - S. Dipierro - E. Valdinoci (
*Complex Variables and Elliptic Equations*)

Local density of Caputo-stationary functions of any order (2018) - A. Carbotti - S. Dipierro - E. Valdinoci (preprint)

Local density of solutions of time and space fractional equations (2018) - M. Carioni (
*Journal of Convex Analysis*)

A convex decomposition formula for the Mumford-Shah functional in dimension one (2018) - M. Carioni - J. Fischer - A. Schlömerkemper (Preprint)

External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a Γ-development (2018) - G. Carita - J. Matias - M. Morandotti - D. R. Owen (
*Journal of Elasticity*)

Dimension reduction in the context of structured deformations (2018) - R. Carlone - M. Correggi - L. Tentarelli (
*Nanosystems: Phys. Chem. Math.*)

An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions (2018) - R. Carlone - R. Figari - C. Negulescu - L. Tentarelli (
*Nanosystems: Phys. Chem. Math.*)

Solvable models of quantum beating (2018) - M. Caroccia - R. Cristoferi - L. Dietrich (
*Archive for Rational Mechanics and Analysis*)

Equilibria configurations for epitaxial crystal growth with adatoms (2018) - M. Carriero - A. Leaci - F. Tomarelli (
*Journal of Convex Analysis*)

Segmentation and Inpainting of Color Images (2018) - J. A. Carrillo - S. Fagioli - F. Santambrogio - M. Schmidtchen (Accepted Paper:
*SIAM J. Math. An.*)

Splitting schemes & segregation in reaction-(cross-)diffusion systems (2018) - J. A. Carrillo - F. Hoffmann - E. Mainini - B. Volzone (
*Calc. Var. Partial Differential Equations*)

Ground States in the Diffusion-Dominated Regime (2018) - D. Castorina - G. Riey - B. Sciunzi (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations (2018) - G. Catino (Accepted Paper:
*Geom. Flows*)

Rigidity of positively curved shrinking Ricci solitons in dimension four (2018) - G. Catino - P. Mastrolia (Accepted Paper:
*Int. Math. Res. Not.*)

Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds (2018) - F. Cavalletti - A. Mondino (Accepted Paper:
*Analysis and PDE*)

New formulas for the Laplacian of distance functions and applications (2018) - F. Cavalletti - F. Santarcangelo (
*J. Funct. Anal.*)

Isoperimetric inequality under Measure-Contraction property (2018) - A. Cesaroni - S. Dipierro - M. Novaga - E. Valdinoci (
*Calc. Var. Partial Differential Equations*)

Minimizers for nonlocal perimeters of Minkowski type (2018) - A. Cesaroni - M. Novaga (
*Discrete Contin. Dyn. Syst. S*)

The isoperimetric problem for nonlocal perimeters (2018) - A. Chambolle - S. Conti - F. Iurlano (
*J. Math. Pures Appl.*)

Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy (2018) - C. N. Chen - Y. S. Choi - N. Fusco (Submitted Paper)

The Γ-limit of traveling waves in FitzHugh-Nagumo systems (2018) - W. Chen - S. J. N. Mosconi - M. Squassina (Accepted Paper:
*J. Funct. Anal.*)

Nonlocal problems with critical Hardy nonlinearity (2018) - R. Choksi - X. Y. Lu (Submitted Paper)

Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D (2018) - R. Choksi - R. Neumayer - I. Topaloglu (preprint)

Anisotropic liquid drop models (2018) - E. Cinti (Accepted Paper:
*Springer INDAM Series*)

Flatness results for nonlocal phase transitions (2018) - E. Cinti - C. Sinestrari - E. Valdinoci (Accepted Paper:
*Analysis & PDE*)

Convex sets evolving by volume preserving fractional mean curvature flows (2018) - M. Cirant - A. Goffi (
*SIAM Journal on Mathematical Analysis*)

On the existence and uniqueness of solutions to time-dependent fractional MFG (2018) - G. Ciraolo - A. Figalli - F. Maggi - M. Novaga (
*J. Reine Angew. Math.*)

Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature (2018) - A. Clop - R. Giova - F. Hatami - A. Passarelli di Napoli (Submitted Paper)

Congested traffic dynamics and very degenerate elliptic equations under supercritical Sobolev regularity (2018) - B. Colbois - A. Girouard - A. Hassannezhad (preprint)

The Steklov and Laplacian spectra of Riemannian manifolds with boundary (2018) - P. Colli - M. Colturato (
*Nonlinear Anal. Real World Appl.*)

Global existence for a singular phase field system related to a sliding mode control problem (2018) - M. Colombo - C. De Lellis - L. De Rosa (
*Comm. Math. Phys.*)

Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations (2018) - M. Colombo - A. De Rosa - A. Marchese (
*Calc. Var. Partial Differential Equations*)

Improved stability of optimal traffic paths (2018) - M. Colombo - L. Spolaor - B. Velichkov (Accepted Paper:
*J. Reine Agnew. Math.*)

On the asymptotic behavior of the solutions to parabolic variational inequalities (2018) - M. Colturato (
*Evol. Equ. Control Theory*)

Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics (2018) - G. E. Comi (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

$BMO$-type norms and anisotropic surface measures (2018) - S. Conti - M. Focardi - F. Iurlano (
*Commun. Contemp. Math.*)

A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems (2018) - S. Conti - M. Focardi - F. Iurlano (
*Ann. I. H. Poincaré*)

Existence of strong minimizers for the Griffith static fracture model in dimension two (2018) - K. Craig - I. Topaloglu (preprint)

Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient Flows in the Slow Diffusion Limit (2018) - G. Crasta - V. De Cicco (Accepted Paper:
*J. of Functional Analysis*)

An extension of the pairing theory between divergence-measure fields and BV functions (2018) - G. Crasta - V. De Cicco (Accepted Paper:
*Advances in Mathematics*)

Anzellotti's pairing theory and the Gauss-Green theorem (2018) - V. Crismale - G. Lazzaroni - G. Orlando (
*Math. Models Methods Appl. Sci.*)

Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue (2018) - V. Crismale - G. Orlando (
*NoDEA Nonlinear Differential Equations Appl.*)

A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,n}$ (2018) - R. Cristoferi (
*ESAIM: COCV*)

A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional (2018) - R. Cristoferi (
*Nonlin. Anal.*)

On periodic critical points and local minimizers of the Ohta-Kawasaki functional (2018) - R. Cristoferi - M. Thorpe (
*European Journal of Applied Mathematics*)

Large Data Limit for a Phase Transition Model with the $p$-Laplacian on Point Clouds (2018) - S. Cruz Blázquez - D. Ruiz (Accepted Paper:
*Advanced Nonlinear Studies*)

Prescribing Gaussian and geodesic curvature on the disk (2018) - G. Csato - P. Roy - Van Hoang Nguyen (preprint)

Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation (2018) - G. Dal Maso - I. Fonseca - G. Leoni (
*Trans. Amer. Math. Soc.*)

Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals (2018) - G. Dal Maso - G. Franzina - D. Zucco (Accepted Paper:
*Nonlinear Analysis*)

Transmission conditions obtained by homogenisation (2018) - G. Dal Maso - C. J. Larsen - R. Toader (Accepted Paper:
*J. Math. Pures Appl.*)

Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition (2018) - A. Daniilidis - R. Deville - E. Durand-Cartagena (Preprint)

Metric and geometric relaxations of self-contracted curves (2018) - A. Daniilidis - R. Deville - E. Durand-Cartagena - L. Rifford (
*J. Math. Anal. Appl.*)

Self contracted curves in Riemannian manifolds (2018) - N. A. Dao - Q. H. Nguyen (
*Comptes Rendus Mathematique*)

Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO (2018) - G. David - E. Le Donne (Submitted Paper)

A note on topological dimension, Hausdorff measure, and rectifiability (2018) - E. Davoli - I. Fonseca (
*Trends in Applications of Mathematics to Mechanics.*)

Relaxation of p-growth integral functionals under space-dependent differential constraints (2018) - E. Davoli - P. Piovano (
*M3AS*)

Analytical validation of the Young-Dupré law for epitaxially-strained thin films (2018) - F. Dayrens - S. Masnou - M. Novaga (
*ESAIM: COCV*)

Existence, regularity and structure of confined elasticae (2018) - V. De Cicco - D. Giachetti - S. Segura de León (Accepted Paper:
*J. of London Math. Soc.*)

Elliptic problems involving the 1-Laplacian and a singular lower order term (2018) - C. De Lellis (
*Proceedings of CMSA Harvard. Nonlinear analysis in geometry and applied mathematics. Part 2*)

Allard's interior regularity theorem: an invitation to stationary varifolds (2018) - C. De Lellis (Lecture Notes)

Almgren's center manifold in a simple setting (2018) - C. De Lellis (
*Surveys in Differential Geometry 2017.*)

The Onsager Theorem (2018) - C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Accepted Paper:
*To apper in Memoirs of the American Mathematical Society*)

On the boundary behavior of mass-minimizing integral currents (2018) - C. De Lellis - A. De Rosa - F. Ghiraldin (
*Adv. Calc. Var.*)

A direct approach to the anisotropic Plateau's problem (2018) - C. De Lellis - D. Inauen - L. J. Székelyhidi (
*Revista matemática Iberoamericana*)

A Nash-Kuiper theorem for $C^{1,\frac{1}{5}-\delta}$ immersions of surfaces in $3$ dimensions (2018) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (
*Comm. Math. Helv.*)

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2018) - C. De Lellis - E. Spadaro - L. Spolaor (
*Transactions AMS*)

Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation (2018) - G. De Philippis - A. De Rosa - F. Ghiraldin (
*Comm. Pure App. Math.*)

Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies (2018) - G. De Philippis - M. Goldman (Accepted Paper:
*CAG*)

A two-point function approach to connectedness of drops in convex potentials (2018) - G. De Philippis - T. Laux (Accepted Paper:
*Ann. Sc. Norm. Super. Pisa Cl. Sci*)

Implicit time discretization for the mean curvature flow of outward minimizing sets (2018) - G. De Philippis - L. Palmieri - F. Rindler (Accepted Paper:
*Nonlinear Anal.*)

On the two-state problem for general differential operators (2018) - A. De Rosa (
*SIAM J. Math. Anal.*)

Minimization of anisotropic energies in classes of rectifiable varifolds (2018) - G. Del Nin (Accepted Paper:
*Adv. Calc. Var.*)

Sticky-disk limit of planar $N$-bubbles (2018) - D. Di Donato (preprint)

Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups (2018) - G. Di Fazio - T. Nguyen (preprint)

Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations (2018) - M. Di Francesco - S. Fagioli - E. Radici (
*Journal of Differential Equations*)

Deterministic particle approximation for nonlocal transport equations with nonlinear mobility (2018) - G. Di Fratta - T. Führer - G. Gantner - D. Praetorius (preprint)

Adaptive Uzawa algorithm for the Stokes equation (2018) - S. Di Marino - N. Gigli - E. Pasqualetto - E. Soultanis (Submitted Paper)

Infinitesimal Hilbertianity of locally ${\rm Cat}(\kappa)$-spaces (2018) - S. Di Marino - J. Louet (
*SIAM J. Math. Anal.*)

The entropic regularization of the Monge problem on the real line (2018) - G. Di Matteo (Preprint)

Analysis of Type I Singularities in the Harmonic Ricci Flow (2018) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper:
*J. Funct. Anal.*)

Rigidity results in Diffusion Markov Triples (2018) - N. Dirr - F. Dragoni - P. Mannucci - C. Marchi (
*SIAM Journal on Mathematical Analysis*)

Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations (2018) - P. Dondl - S. Wojtowytsch (preprint)

Keeping it together: a phase field version of path-connectedness and its implementation (2018) - F. Dragoni - E. Feleqi (
*Calc. Var. Partial Differential Equations*)

Ergodic Mean Field Games with Hoermander diffusions (2018) - F. Dragoni - N. Garofalo - P. Salani (
*Journal of the LMS*)

Starshapedeness for fully-nonlinear equations in Carnot groups (2018) - L. Dufloux - V. Suomala (Preprint)

Projections of Poisson cut-outs in the Heisenberg group and the visual 3-sphere (2018) - E. Durand-Cartagena - J. Gong - J. Á. Jaramillo (Preprint)

Sierpinski-type fractals are differentiably trivial (2018) - E. Durand-Cartagena - J. Á. Jaramillo - N. Shanmugalingam (Accepted Paper:
*Mathematische Annalen*)

Existence and uniqueness of $\infty$-harmonic functions under assumption of $\infty$-Poincaré inequality (2018) - E. Durand-Cartagena - A. Lemenant (Preprint:
*Proc. AMS*)

Self-contracted curves are gradient flows of convex functions (2018) - S. Dweik (Ph.D. Thesis)

Transport and control problems with boundary costs: regularity and summability of optimal and equilibrium densities (2018) - S. Dweik (
*Quarterly of Applied Mathematics*)

Weighted Beckmann problem with boundary costs (2018) - S. Dweik - F. Santambrogio (Accepted Paper:
*Calculus of Variations and PDE's*)

$L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D (2018) - M. Engelstein - L. Spolaor - B. Velichkov (Accepted Paper:
*Geom. Topol.*)

(Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents (2018) - M. Engelstein - L. Spolaor - B. Velichkov (Accepted Paper:
*Duke Math. J.*)

Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional (2018) - S. Eriksson-Bique - J. Gill - P. Lahti - N. Shanmugalingam (Preprint)

Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces (2018) - S. Fagioli - E. Radici (
*Math. Mod. Meth. in Appl. Sci.*)

Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation (2018) - F. Ferrari - M. Miranda Jr - D. Pallara - A. Pinamonti - Y. Sire (
*Discrete Contin. Dyn. Syst. Ser. S*)

Fractional Laplacians, perimeters and heat semigroups in Carnot groups (2018) - L. A. D. Ferrari - C. Rossmanith - B. Wirth (preprint)

Phase field approximations of branched transportation problems (2018) - A. Figalli (Lecture Notes)

Free boundary regularity in obstacle problems (2018) - A. Figalli (Accepted Paper:
*Nonlinear Anal.*)

On the Continuity of Center-Outward Distribution and Quantile Functions (2018) - A. Figalli (Lecture Notes)

On the Monge-Ampère equation (2018) - A. Figalli (Proceedings:
*Proceedings ICM 2018*)

Regularity of interfaces in phase transitions via obstacle problems (2018) - A. Figalli - F. Maggi - C. Mooney (Accepted Paper:
*Camb. J. Math.*)

The sharp quantitative Euclidean concentration inequality (2018) - M. Focardi - F. Geraci - E. Spadaro (
*JOTA*)

Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications (2018) - M. Focardi - E. Spadaro (
*Archive for Rational Mechanics and Analysis*)

On the measure and the structure of the free boundary of the lower dimensional obstacle problem (2018) - M. Fogagnolo - L. Mazzieri - A. Pinamonti (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Geometric aspects of p-capacitary potentials (2018) - G. Franzina (
*Applicable Analysis*)

Non-local Torsion functions and Embeddings (2018) - E. Le Donne - D. Freeman (Submitted Paper)

Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces (2018) - L. Kreutz - M. Friedrich (Accepted Paper:
*Math. Mod. Meth. Appl. Sci. (M3AS)*)

Crystallization in the hexagonal lattice for ionic dimers (2018) - M. Friedrich - E. Mainini - P. Piovano - U. Stefanelli (
*Arch. Ration. Mech. Anal.*)

Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (2018) - M. Friedrich - F. Solombrino (
*Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire*)

Quasistatic crack growth in 2d-linearized elasticity (2018) - G. Fusco - G. F. Gronchi - M. Novaga (
*São Paulo Journal of Mathematical Sciences*)

On the existence of heteroclinic connections (2018) - N. Fusco - V. Julin - M. Morini (Submitted Paper)

The surface diffusion flow with elasticity in three dimensions (2018) - K. Fässler - E. Le Donne (Submitted Paper)

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups (2018) - J. A. Carrillo - R. S. Gvalani - G. A. Pavliotis - A. Schlichting (preprint)

Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus (2018) - C. Geldhauser - C. Kuehn (Preprint)

Travelling waves in the discrete stochastic Nagumo equation (2018) - I. Gentil - C. Léonard - L. Ripani - L. Tamanini (
*Stochastic Process. Appl.*)

An entropic interpolation proof of the HWI inequality (2018) - D. Gerosa - R. Monti - D. Morbidelli (Accepted Paper:
*Cont. Math.*)

A trace theorem for Martinet-type vector fields (2018) - F. Ghiraldin - X. Lamy (Submitted Paper)

Optimal Besov differentiability for entropy solutions of the eikeonal equation (2018) - P. Gidoni - G. B. Maggiani - R. Scala (Preprint)

Existence and regularity of solutions for an evolution model of perfectly plastic plates (2018) - N. Gigli - E. Pasqualetto (Preprint)

Differential structure associated to axiomatic Sobolev spaces (2018) - N. Gigli - E. Pasqualetto (preprint)

On the notion of parallel transport on $\sf RCD$ spaces (2018) - N. Gigli - E. Pasqualetto - E. Soultanis (Submitted Paper)

Differential of metric valued Sobolev maps (2018) - N. Gigli - L. Tamanini (
*Probab. Theory Related Fields*)

Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces (2018) - N. Gigli - L. Tamanini (
*J. Eur. Math. Soc. (JEMS)*)

Second order differentiation formula on $RCD^*(K,N)$ spaces (2018) - F. Glaudo (
*Nonlinear Analysis*)

On the c-concavity with Respect to the Quadratic Cost on a Manifold (2018) - A. Gloria - M. Ruf (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Loss of strong ellipticity through homogenization in 2D linear elasticity: A phase diagram (2018) - M. Goldman (Ph.D. Thesis)

Pattern formation in variational models with interfacial terms (2018) - M. Goldman (Accepted Paper:
*Indiana*)

Self-similar minimizers of a branched transport functional (2018) - M. Goldman - M. Huesmann - F. Otto (Unpublished paper)

A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem (2018) - M. Goldman - M. Novaga - B. Ruffini (
*Anal. PDE*)

On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint (2018) - M. Goldman - F. Otto (Accepted Paper:
*Annales de l'ENS*)

A variational proof of partial regularity for optimal transportation maps (2018) - S. Golo - S. Rigot (preprint)

The Besicovitch covering property in the Heisenberg group revisited (2018) - G. Gravina - G. Leoni (preprint)

Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems (2018) - G. Gravina - G. Leoni (preprint)

On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem (2018) - E. Hakavuori - E. Le Donne (Submitted Paper)

Blowups and blowdowns of geodesics in Carnot groups (2018) - D. Henao - B. Stroffolini (Submitted Paper)

Orlicz-Sobolev nematic elastomers (2018) - S. Hencl - A. Pratelli (
*J. Eur. Math. Soc.*)

Diffeomorphic Approximation of $W^{1,1}$ Planar Sobolev Homeomorphisms (2018) - A. Henrot - D. Zucco (Accepted Paper:
*Annali della Scuola Normale Superiore di Pisa*)

Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle (2018) - A. Hyder - L. Martinazzi (preprint)

Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in dimension $6$ (2018) - M. Iacobelli - F. S. Patacchini - F. Santambrogio (Accepted Paper:
*Arch. Rati. Mech. An.*)

Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour (2018) - A. Iannizzotto - S. J. N. Mosconi - M. Squassina (Preprint)

Fine boundary regularity for the degenerate fractional $p$-Laplacian (2018) - N. Ikoma - A. Malchiodi - A. Mondino (Accepted Paper:
*Intern. Math. Res. Not. (IMRN)*)

Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature (2018) - J. Á. Jaramillo - E. Le Donne - T. Rajala (Accepted Paper:
*Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas*)

Restricting open surjections (2018) - M. van den Berg - T. Kappeler (Submitted Paper)

On the $L^p$ norm of the torsion function (2018) - I. Kim - A. R. Mészáros (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

On nonlinear cross-diffusion systems: an optimal transport approach (2018) - H. Kovarik - T. Weidl - B. Ruszkowski (
*J. Spectr. Theory*)

Melas-type bounds for the Heisenberg Laplacian on bounded domains (2018) - D. Krejcirik - G. P. Leonardi - P. Vlachopulos (
*Arkiv der Mathematik*)

The Cheeger constant of curved tubes (2018) - L. Kreutz (Preprint)

A homogenization result for weak membrane energies (2018) - D. A. La Manna (Preprint)

A short proof of a nonexistence result (2018) - D. A. La Manna (Accepted Paper:
*ESAIM: Control, Optimisation and Calculus of Variations*)

An isoperimetric problem with a Coulombic repulsion and attractive term (2018) - N. Shanmugalingam - P. Lahti - L. Malý - G. Speight (Accepted Paper:
*Journal of Geometric Analysis*)

Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient (2018) - P. Lahti - N. Shanmugalingam (
*J. Funct. Anal.*)

Trace theorems for functions of bounded variation in metric spaces (2018) - P. D. Lamberti - I. Y. Violo (
*Math. Nachr.*)

On Stein's extension operator preserving Sobolev-Morrey spaces (2018) - H. Lavenant - F. Santambrogio (Accepted Paper:
*Journal of the London Mathematical Society*)

New estimates on the regularity of the pressure in density-constrained Mean Field Games (2018) - G. Lazzaroni - L. Nardini (
*SIAM J. Appl. Math.*)

Analysis of a dynamic peeling test with speed-dependent toughness (2018) - G. Lazzaroni - L. Nardini (
*J. Nonlinear Sci.*)

On the quasistatic limit of dynamic evolutions for a peeling test in dimension one (2018) - G. Lazzaroni - R. Rossi - M. Thomas - R. Toader (
*J. Dynam. Differential Equations*)

Rate-independent damage in thermo-viscoelastic materials with inertia (2018) - G. Lazzaroni - U. Stefanelli (
*Transactions of Mathematics and Its Applications*)

Chain-like ground states in three dimensions (2018) - E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (
*Comm. Anal. and Geom.*)

Extremal polynomials in stratified groups (2018) - E. Le Donne - S. Li - T. Moisala (Submitted Paper)

Gateaux differentiability on infinite-dimensional Carnot groups (2018) - L. Mari - Leandro Freitas Pessoa (preprint)

Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview (2018) - G. P. Leonardi - M. Ritoré - E. Vernadakis (Accepted Paper:
*Mem. AMS*)

Isoperimetric inequalities in unbounded convex bodies (2018) - G. P. Leonardi - G. Saracco (
*NoDEA Nonlinear Differential Equations Appl.*)

The prescribed mean curvature equation in weakly regular domains (2018) - G. P. Leonardi - G. Saracco (
*Ann. Mat. Pura Appl. (4)*)

Two examples of minimal Cheeger sets in the plane (2018) - G. Leoni - I. Tice (preprint)

Traces for homogeneous Sobolev spaces in infinite strip-like domains (2018) - Q. R. Li - F. Santambrogio - X. J. Wang (Accepted Paper:
*Arch. Rati. Mech. An.*)

Continuity for the Monge mass transfer problem in two dimensions (2018) - P. Liu - X. Y. Lu (Submitted Paper)

Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties (2018) - J. Zhang - Z. Liu - M. Squassina (Accepted Paper)

Modulational stability of ground states to nonlinear Kirchhoff equations (2018) - R. Lopez-Soriano - A. Malchiodi - D. Ruiz (Preprint)

Conformal metrics with prescribed gaussian and geodesic curvatures (2018) - A. Lorent - G. Peng (Preprint)

Null Lagrangian Measures in subspaces, compensated compactness and conservation laws (2018) - I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (
*Riv. Mat. Univ. Parma*)

Confinement of dislocations inside a crystal with a prescribed external strain (2018) - R. Luisto - E. Prywes (preprint)

Characterization of branched covers with simplicial branch sets (2018) - B. Vieri - L. Luperi Baglini - M. Squassina (Submitted Paper)

Generalized solutions of variational problems and applications (2018) - L. Lussardi - S. Marini - M. Veneroni (
*Netw. Heterog. Media*)

Stochastic homogenization of maximal monotone relations and applications (2018) - D. Lučić (Ph.D. Thesis)

Dimension reduction problems in the modelling of hydrogel thin films (2018) - D. Lučić - E. Pasqualetto (Preprint)

Infinitesimal Hilbertianity of weighted Riemannian manifolds (2018) - D. Lučić - E. Pasqualetto (
*Rendiconti del Circolo Matematico di Palermo*)

The Serre-Swan theorem for normed modules (2018) - A. Maalaoui - A. Pinamonti (Accepted Paper:
*Nonlinear Analysis*)

Interpolations and Fractional Sobolev Spaces in Carnot Groups (2018) - F. Maddalena - D. Percivale - F. Tomarelli (
*SIAM J. Math. Anal.*)

Variational Problems for Foppl-von Karman plates (2018) - V. Magnani - E. Stepanov - D. Trevisan (
*J. Lond. Math. Soc.*)

A rough calculus approach to level sets in the Heisenberg group (2018) - V. Magnani - D. Trevisan (
*Commun. Contemp. Math.*)

On Lipschitz vector fields and the Cauchy problem in homogeneous groups (2018) - E. Mainini - M. Monteverde - E. Oudet - D. Percivale (
*ESAIM: COCV*)

The minimal resistance problem in a class of non convex bodies (2018) - A. Malchiodi - M. Mayer (Preprint)

Prescribing Morse scalar curvatures: blow-up analysis (2018) - A. Malchiodi - M. Mayer (Preprint)

Prescribing Morse scalar curvatures: subcritical blowing-up solutions (2018) - A. Malusa - M. Novaga (
*Networks and Heterogeneous Media*)

Crystalline evolutions in chessboard-like microstructures (2018) - L. Malý - N. Shanmugalingam (
*J. Diff. Eq.*)

Neumann problem for p-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity (2018) - A. Marchese - S. Stuvard (
*Adv. Calc. Var.*)

On the structure of flat chains modulo $p$ (2018) - A. Marchese - B. Wirth (
*J. Math. Anal. Appl.*)

Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass (2018) - E. Marconi (
*Journal of Hyperbolic Differential Equations*)

Regularity estimates for scalar conservation laws in one space dimension (2018) - G. Mazanti - F. Santambrogio (Accepted Paper:
*Math. Mod. Meth. Appl. Sci.*)

Minimal-Time Mean Field Games (2018) - D. Mazzoleni - B. Pellacci - G. Verzini (Accepted Paper:
*J. Math. Pures Appl.*)

Asymptotic spherical shapes in some spectral optimization problems (2018) - D. Mazzoleni - S. Terracini - B. Velichkov (Accepted Paper:
*Analysis & PDE*)

Regularity of the free boundary for the vectorial Bernoulli problem (2018) - D. Melching - R. Scala - J. Zeman (Preprint)

Damage model for plastic materials at finite strains (2018) - U. Menne - C. Scharrer (
*Kodai Mathematical Journal*)

An isoperimetric inequality for diffused surfaces (2018) - A. C. G. Mennucci (Accepted Paper:
*ESAIM: COCV*)

Designing metrics; the delta metric for curves (2018) - S. Modena - L. J. Székelyhidi (Submitted Paper)

Non-renormalized solutions to the continuity equation (2018) - A. Mondino - D. Semola (
*Journal de Mathématiques Pures et Appliquées*)

Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below (2018) - A. Mondino - S. Suhr (Accepted Paper:
*Journal of the European Math. Society (JEMS)*)

An optimal transport formulation of the Einstein equations of general relativity (2018) - A. Monteil - F. Santambrogio (Accepted Paper:
*Indiana Univ. Math. J.*)

Metric methods for heteroclinic connections in infinite dimensional spaces (2018) - R. Monti (Proceedings:
*Bruno Pini Mathematical Analysis Seminar, 2018, 9, 137--146*)

The regularity problem for geodesics of the control distance (2018) - R. Monti - A. Pigati - D. Vittone (
*Calc. Var. Partial Differential Equations 57*)

Existence of tangent lines to Carnot-Carathéodory geodesics (2018) - R. Monti - A. Pigati - D. Vittone (
*SIAM J. Control Optim. 56 (2018)*)

On tangent cones to length minimizers in Carnot-Carathéodory spaces (2018) - D. D. Monticelli - F. Punzo - M. Squassina (Accepted Paper:
*Asymptotic Anal.*)

Nonexistence for hyperbolic problems on riemannian manifolds (2018) - M. Morandotti (Proceedings:
*Mathematical Analysis of Continuum Mechanics and Industrial Applications II*)

Structured Deformations of Continua: Theory and Applications (2018) - A. Mramor - S. Wang (preprint)

Low Entropy and the Mean Curvature Flow with Surgery (2018) - C. Muratov - M. Novaga - B. Ruffini (
*Comm. Pure Appl. Math.*)

On equilibrium shapes of charged flat drops (2018) - Q. H. Nguyen - P. T. NGUYEN (
*Journal of Nonlinear Science.*)

Onsager's conjecture on the energy convervation for solutions of Euler's equation in bounded domains (2018) - Q. H. Nguyen - P. T. NGUYEN - Q. B. TANG (Submitted Paper)

Energy conservation for inhomogeneous incompressible and compressible Euler equations (2018) - Q. H. Nguyen - P. T. NGUYEN - Q. B. TANG (Accepted Paper:
*Nonlinearity*)

Energy equalities for compressible Navier-Stokes equations (2018) - S. Nardulli (
*Bulletin of the Brazilian Mathematical Society*)

Regularity of isoperimetric regions that are close to a smooth manifold (2018) - S. Nardulli - P. Pansu (
*Annali della Scuola Normale Superiore di Pisa Classe di Scienze*)

A complete Riemannian manifold whose isoperimetric profile is discontinuous (2018) - Q. H. Nguyen - C. P. Nguyen (Accepted Paper:
*Math. Ann.*)

Good-$\lambda$ and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications (2018) - Q. H. Nguyen (Accepted Paper:
*Comm. Pure Appl. Math.*)

Quantitative estimates for regular Lagrangian flows with $BV$ vector fields (2018) - Q. H. Nguyen - J. L. Vazquez (Accepted Paper:
*COM.PDE*)

Porous medium equation with nonlocal pressure in a bounded domain (2018) - S. Nicolussi Golo - F. Serra Cassano (preprint)

The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group (2018) - M. Novack (
*SIAM Journal on Mathematical Analysis*)

Dimension reduction for the Landau-de Gennes model: the vanishing nematic correlation length limit (2018) - M. Novaga - D. Pallara - Y. Sire (
*J. Anal. Math.*)

A fractional isoperimetric problem in the Wiener space (2018) - D. Ntalampekos - M. Romney (Submitted Paper)

On the inverse absolute continuity of quasiconformal mappings on hypersurfaces (2018) - H. Olbermann (preprint)

On a $Γ$-limit of Willmore functionals with additional curvature penalization term (2018) - F. Oronzio (Degree Thesis)

Alcune relazioni tra curvatura e topologia per mezzo delle funzioni distanza (2018) - D. Pagliardini (Phd Thesis)

Fractional minimal surfaces and Allen-Cahn equations (2018) - G. Palatucci (
*Nonlinear Analysis*)

The Dirichlet problem for the $p$-fractional Laplace equation (2018) - E. Paolini - E. Stepanov (
*Proc. Royal Soc. Edinburgh Ser. A - Mathematics*)

Flows of measures generated by vector fields (2018) - E. Paolini - A. Tamagnini (
*Geometric Flows*)

Minimal cluster computation for four planar regions with the same area (2018) - E. Paolini - A. Tamagnini (
*ESAIM: COCV*)

Minimal clusters of four planar regions with the same area (2018) - E. Pasqualetto (Ph.D. Thesis)

Structural and geometric properties of $\sf RCD$ spaces (2018) - A. Pinamonti - G. Speight - S. Zimmerman (Accepted Paper:
*Trans AMS*)

A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group (2018) - A. Ponce - D. Spector (Preprint)

A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$ (2018) - D. Prandi - L. Rizzi - M. Seri (
*Journal of Spectral Theory*)

Quantum confinement on non-complete Riemannian manifolds (2018) - A. Pratelli - E. Radici (
*Rend. Lincei Mat. Appl.*)

On the planar minimal BV extension problem (2018) - A. Pratelli - G. Saracco (
*Nonlinear Anal.*)

On the isoperimetric problem with double density (2018) - K. Rajala - M. Romney (Accepted Paper:
*Ann. Acad. Sci. Fenn. Math.*)

Reciprocal lower bound on modulus of curve families in metric surfaces (2018) - V. Recupero - F. Santambrogio (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

Sweeping processes with prescribed behaviour on jumps (2018) - R. Rios-Zertuche (preprint)

Characterization of minimizable Lagrangian action functionals and a dual Mather theorem (2018) - R. Rios-Zertuche (preprint)

Deformations of closed measures and variational characterization of measures invariant under the Euler-Lagrange flow (2018) - R. Rios-Zertuche (preprint)

Existence of differentiable curves in convex sets and the concept of direction of the flow in mass transportation (2018) - M. Romney (Submitted Paper)

Singular quasisymmetric mappings in dimensions two and greater (2018) - A. Roncoroni (Accepted Paper:
*Comptes Rendus Mathematique*)

A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument (2018) - R. Rossi (Accepted Paper:
*Zeitschrift fur Angewandte Mathematik und Mechanik*)

From visco to perfect plasticity in thermoviscoelastic materials (2018) - R. Rossi - G. Savaré - A. Segatti - U. Stefanelli (Submitted Paper)

Weighted Energy-Dissipation principle for gradient flows in metric spaces (2018) - M. Ruf (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Discrete stochastic approximations of the Mumford-Shah functional (2018) - F. Santambrogio (
*Snapshots of modern mathematics from Oberwolfach*)

A short story on optimal transport and its many applications (2018) - F. Santambrogio (Accepted Paper:
*proceedings of the 2017 SMAI conference*)

Crowd motion and evolution PDEs under density constraints (2018) - G. Saracco (
*Manuscripta Math.*)

Weighted Cheeger sets are domains of isoperimetry (2018) - R. Scala - N. Van Goethem (Accepted Paper:
*SIAM J. Math. Anal.*)

A variational approach to single crystals with dislocations (2018) - R. Scala - N. Van Goethem (Accepted Paper:
*Journal of Nonlinear Science*)

Variational evolution of dislocations in single crystals (2018) - C. Scheven - T. Schmidt (
*Ann. Inst. Henri Poincaré, Anal. Non Linéaire*)

On the dual formulation of obstacle problems for the total variation and the area functional (2018) - A. Schikorra - T. T. Shieh - D. Spector (
*Commun. Contemp. Math.*)

Regularity for a fractional $p$-Laplace equation (2018) - G. Scilla - F. Solombrino (
*Asymptot. Anal.*)

Delayed loss of stability in singularly perturbed finite-dimensional gradient flows (2018) - G. Scilla - F. Solombrino (
*Nonlinearity*)

Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach (2018) - G. Scilla - V. Vallocchia (
*Journal of Elasticity*)

Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions (2018) - I. Shafrir - D. Spector (Preprint)

Best constants for two families of higher order critical Sobolev embeddings (2018) - T. T. Shieh - D. Spector (
*Adv. Calc. Var.*)

On a new class of fractional partial differential equations II (2018) - N. Soave - H. Tavares - S. Terracini - A. Zilio (
*Archive for Rational Mechanics and Analysis*)

Variational problems with long-range interaction (2018) - N. Soave - S. Terracini (
*Advances in Mathematics*)

The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem (2018) - N. Soave - T. Weth (
*SIAM Journal of Mathematical Analysis*)

The unique continuation property of sublinear equations (2018) - D. Spector (preprint)

An Optimal Sobolev Embedding for $L^1$ (2018) - D. Spector - S. Spector (Preprint:
*Arch. Ration. Mech. Anal.*)

Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity (2018) - D. Spector - J. Van Schaftingen (Preprint)

Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma (2018) - L. Spolaor (Accepted Paper:
*Adv. Math.*)

Almgren's type regularity for Semicalibrated Currents (2018) - L. Spolaor - B. Trey - B. Velichkov (Accepted Paper:
*Communications in Partial Differential Equations*)

Free boundary regularity for a multiphase shape optimization problem (2018) - G. Stefani (
*J. Convex Anal.*)

On the monotonicity of perimeter of convex bodies (2018) - E. Tasso (Accepted Paper:
*ESAIM: COCV*)

On the continuity of the trace operator in $GSBV(\Omega)$ and $GSBD(\Omega)$ (2018) - L. Tentarelli - P. Tilli (
*Comm. Partial Differential Equations*)

De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations (2018) - D. Tewodrose (Ph.D. Thesis)

Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below (2018) - P. Tilli - D. Zucco (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Sect. A*)

Spectral partitions for Sturm-Liouville problems (2018) - cavallotto (Ph.D. Thesis)

Existence and regularity results for minimal sets; Plateau problem (2018) - M. van den Berg (Submitted Paper:
*Integral Equations Operator Theory*)

Heat content in non-compact Riemannian manifolds (2018) - P. Álvarez-Caudevilla - M. Bonnivard - A. Lemenant (preprint)

Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials (2018)