, S. Di Marino, M. Squassina: New characterizations of Sobolev metric spaces (Preprint) 2018 V. Agostiniani, M. Fogagnolo, L. Mazzieri: Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature Inventiones Mathematicae 2018 A. Agrachev, D. Barilari, L. Rizzi: Curvature: a variational approach Memoirs of the AMS Vol. 256, N. 1225, p. 142, 2018 G. Alberti, G. Crippa, A. L. Mazzucato: Exponential self-similar mixing by incompressible flows Journal of the American Mathematical Society (Accepted Paper) 2018 G. Alberti, G. Crippa, A. L. Mazzucato: Loss of regularity for the continuity equation with non-Lipschitz velocity field (Submitted Paper) 2018 R. Alicandro, G. Dal Maso, G. Lazzaroni, M. Palombaro: Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals Arch. Ration. Mech. Anal. Vol. 230, p. 1-45, 2018 R. Alicandro, G. Lazzaroni, M. Palombaro: Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours Netw. Heterog. Media Vol. 13, p. 1-26, 2018 B. Allen, L. Hernandez-Vazquez, D. Parise, A. Payne, S. Wang: Warped Tori with Almost Non-Negative Scalar Curvature Geometriae Dedicata Vol. 200, p. 153-171, 2018 S. Almi, I. Lucardesi: Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks NoDEA 2018 L. Ambrosio: Calculus, heat flow and curvature-dimension bounds in metric measure spaces (Submitted Paper) 2018 L. Ambrosio, G. E. Comi: Anisotropic surface measures as limits of volume fractions Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg p. 1-32, 2018 L. Ambrosio, C. De Lellis, T. Schmidt: Partial regularity for mass-minimizing currents in Hilbert spaces J. Reine Angew. Math. Vol. 734, p. 99-144, 2018 L. Ambrosio, M. Fornasier, M. Morandotti, G. Savaré: Spatially Inhomogeneous Evolutionary Games CPAM (Accepted Paper) 2018 L. Ambrosio, F. Glaudo: Finer estimates on the 2-dimensional matching problem (Submitted Paper) p. 23, 2018 L. Ambrosio, S. Honda, D. Tewodrose: Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces Annals of Global Analysis and Geometry Vol. 53, p. 22, 2018 L. Ambrosio, A. Ponce, R. Rodiac: Critical weak-$L^{p}$ differentiability of singular integrals Revista Matemática Iberoamericana (Accepted Paper) 2018 F. Ancona, A. Cesaroni, G. M. Coclite, M. Garavello: On the optimization of conservation law models at a junction with inflow and flow distribution controls SIAM J. Control Optim. Vol. 56, N. 5, p. 3370-3403, 2018 Ankik Kumar Giri, P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK: Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage (preprint) 2018 Ankik Kumar Giri, P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK: Global classical solutions to the continuous coagulation equation with collisional breakage (preprint) 2018 Ankik Kumar Giri, P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK: Weak solutions to the continuous coagulation model with collisional breakage (preprint) 2018 N. Ansini: Gradient Flows with Wiggly Potential: A Variational Approach to Dynamics Mathematical Analysis of Continuum Mechanics and Industrial Applications II. Proceedings of the International Conference CoMFoS16. (Proceedings) Vol. 30, p. 139--151, 2018 C. Antonucci, M. Gobbino, M. Migliorini, N. Picenni: On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation C. R. Math. Acad. Sci. Paris 2018 A. Ardentov, E. Le Donne, Y. Sachkov: A sub-Finsler problem on the Cartan group (Submitted Paper) 2018 A. Ardentov, E. Le Donne, Y. Sachkov: Sub-Finsler geodesics on the Cartan group (Submitted Paper) 2018 A. Arroyo-Rabasa: An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint Proceedings of the American Mathematical Society (Accepted Paper) 2018 A. Arroyo-Rabasa, G. De Philippis, J. Hirsch, F. Rindler: Dimensional estimates and rectifiability for measures satisfying linear PDE constraints Geom. Funct. Anal. (Accepted Paper) 2018 P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK: Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation Evolution Equations & Control Theory (preprint) 2018 P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK, A. K. Giri: A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation Kinetic and Related Models (preprint) Vol. 11, N. 5, p. 1125-1138, 2018 P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK, A. K. Giri, P. Laurençot: Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel Proceedings of Royal Society Edinburgh Section A: Mathematics (preprint) 2018 A. Bach: Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals ESAIM: Control Optim. Calc. Var. Vol. 24, 2018 R. Badal, M. Cicalese, L. De Luca, M. Ponsiglione: $\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects Commun. Math. Phys. Vol. 358, N. 2, p. 705739, 2018 P. Baldi, E. Haus, C. Mantegazza: Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature Comm. PDE Vol. 43, N. 3, p. 403-427, 2018 A. Barbagallo, G. Scilla: Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model J. Math. Anal. Appl. Vol. 457, N. 2, p. 1118-1134, 2018 M. Barchiesi: Toughening by crack deflection in the homogenization of brittle composites with soft inclusions Arch. Ration. Mech. Anal. Vol. 227, p. 749766, 2018 D. Barilari, F. Boarotto: Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature Journal of Evolution Equations 2018 D. Barilari, F. Boarotto: On the set of points of smoothness for the value function for affine optimal control problems SIAM Journal of Control and Optimization 2018 D. Barilari, L. Rizzi: Sub-Riemannian interpolation inequalities Inventiones Mathematicae 2018 P. Baroni: On the relation between generalized Morrey spaces and measure data problems (Submitted Paper) 2018 P. Baroni, M. Colombo, G. Mingione: Regularity for general functionals with double phase Calc. Var. Partial Differ. Equ. 2018 D. Bartolucci, C. Gui, A. Jevnikar, A. Moradifam: A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations Math. Ann. (Accepted Paper) 2018 D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang: Local uniqueness of $m$-bubbling sequences for the Gel'fand equation Comm. PDEs (Accepted Paper) 2018 D. Bartolucci, A. Jevnikar, C. S. Lin: Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains J. Diff. Eq. (Accepted Paper) 2018 L. Beck, M. Bulíek, F. Gmeineder: On a Neumann problem for variational functionals of linear growth (preprint) 2018 L. Beck, M. Bulíek, E. Maringová: Globally Lipschitz minimizers for variational problems with linear growth ESAIM Control Optim. Calc. Var. (Accepted Paper) 2018 L. Beck, G. Mingione: Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems (preprint) 2018 J. D. Benamou, G. Carlier, S. Di Marino, L. Nenna: An entropy minimization approach to second-order variational mean field games M3AS (Accepted Paper) 2018 J. D. Benamou, G. Carlier, L. Nenna: Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm Numerische Mathematik (Accepted Paper) 2018 E. Berchio, D. Buoso, F. Gazzola, D. Zucco: A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates JOTA 2018 J. Bernstein, S. Wang: The level set flow of a hypersurface in $\mathbb R^4$ of low entropy does not disconnect Communications in Analysis and Geometry (Accepted Paper) 2018 J. Bertrand, A. Pratelli, M. Puel: Kantorovich potentials and continuity of total cost for relativistic cost functions J. Math. Pures Appl. 2018 G. Bevilacqua, L. Lussardi, A. Marzocchi: Soap film spanning electrically repulsive elastic protein links Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. Vol. 96, N. Suppl. 3, p. 1-13, 2018 S. Bianchini, P. Bonicatto: Failure of the chain rule in the non steady two-dimensional setting Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg p. 33-60, 2018 S. Bianchini, S. Daneri: On Sudakov's type decomposition of transference plans with norm costs Memoires of the American Mathematical Society 2018 M. F. Bidaut-Véron , Q. H. Nguyen, L. Véron: Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data (Submitted Paper) 2018 B. Bogosel, A. Henrot, I. Lucardesi: Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint SIAM J. Math. Anal. Vol. 50, N. 5, p. 53375361, 2018 M. Bonafini, G. Orlandi, E. Oudet: Variational approximation of functionals defined on 1-dimensional connected sets: the planar case SIAM J. Math. Anal. Vol. 50, N. 6, p. 6307-6332, 2018 M. Bonforte, A. Figalli, J. L. Vazquez: Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations Calc. Var. Partial Differential Equations (Accepted Paper) 2018 P. Bonicatto: On uniqueness of weak solutions to transport equation with non-smooth velocity field Theory, Numerics and Applications of Hyperbolic Problems I (Proceedings) p. 191-203, 2018 W. Borrelli: Multiple solutions for a self-consistent Dirac equation in two dimensions Journal of Mathematical Physics 2018 W. Borrelli: Weakly localized states for nonlinear Dirac equations Calc. Var. Partial Differential Equations 2018 G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale: Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (Submitted Paper) 2018 D. Bourne, D. Cushing, S. Liu, F. Münch, N. Peyerimhoff: Ollivier-Ricci idleness functions of graphs SIAM Journal on Discrete Mathematics Vol. 32, N. 2, p. 1408-1424, 2018 D. Bourne, B. Schmitzer, B. Wirth: Semi-discrete unbalanced optimal transport and quantization (Submitted Paper) 2018 A. Braides: Rigidity effects for antiferromagnetic thin films: a prototypical example (Book Chapter- Trends in Applications of Mathematics to Mechanics (E.Rocca et al, eds) Springer) 2018 A. Braides, A. Causin, A. Piatnitski, M. Solci: Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime J. Stat. Phys. Vol. 171, p. 1096-1111, 2018 A. Braides, A. Causin, M. Solci: A homogenization result for interacting elastic and brittle media Proceedings A. Roy. Soc. London Vol. 474, 2018 A. Braides, A. Causin, M. Solci: Asymptotic analysis of a ferromagnetic Ising system with "diffuse" interfacial energy Ann.Mat.Pura Appl Vol. 197, N. 2, p. 583-604, 2018 A. Braides, M. Cicalese, M. Ruf: Continuum limit and stochastic homogenization of discrete ferromagnetic thin films Analysis & PDE Vol. 11, N. 2, p. 499-553, 2018 A. Braides, L. Kreutz: An integral-representation result for continuum limits of discrete energies with multi-body interactions SIAM J. Math. Anal. Vol. 50, p. 1485-1520, 2018 A. Braides, L. Kreutz: Design of lattice surface energies Calc. Var. Partial Diff. Equations Vol. 57, 2018 A. Braides, V. Vallocchia: Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals Acta Applicandae Mathematicae Vol. 156, p. 79-107, 2018 A. Brancolini, B. Wirth: General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary Calculus of Variations and Partial Differential Equations Vol. 57, N. 82, 2018 L. Brasco: On principal frequencies and inradius in convex sets Bruno Pini Math. Anal. Semin. (Accepted Paper) p. 20, 2018 L. Brasco, E. Lindgren, A. Schikorra: Higher Holder regularity for the fractional $p-$Laplacian in the superquadratic case Adv. Math. (Accepted Paper) p. 44, 2018 L. Brasco, A. Salort: A note on homogeneous Sobolev spaces of fractional order Ann. Mat. Pura Appl. (Accepted Paper) p. 33, 2018 E. Bruè, S. Di Marino, F. Stra: Linear Lipschitz and $C^1$ extension operators through random projections Journal of Functional Analysis 2018 E. Bruè, Q. H. Nguyen: On the Sobolev space of functions with derivative of logarithmic order Advances in Nonlinear Analysis 2018 E. Bruè, Q. H. Nguyen: Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields Analysis and PDE p. 18, 2018 D. Bucur, I. Fragalà, A. Giacomini: Local minimality results for the Mumford-Shah functional via monotonicity (Submitted Paper) 2018 D. Bucur, I. Fragalà, A. Giacomini: Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results (Submitted Paper) 2018 D. Bucur, I. Fragalà, A. Giacomini: Optimal partitions for Robin Laplacian eigenvalues (preprint) 2018 D. Bucur, A. Henrot: Maximization of the second non-trivial Neumann eigenvalue (Submitted Paper) 2018 D. Bucur, M. van den Berg: Sign changing solutions of Poisson's equation (preprint) 2018 R. Buzano, B. Sharp: Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area Transactions of the American Mathematical Society Vol. 370, 2018 X. Cabré, G. Poggesi: Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions (preprint) 2018 F. Cagnetti, G. Dal Maso, L. Scardia, C. I. Zeppieri: $\Gamma$-convergence of free-discontinuity problems Ann. Inst. H. Poincaré Anal. Non Linéaire 2018 D. Campbell, S. Hencl, A. Kauranen, E. Radici: Strict limits of planar BV homeomorphisms Nonlinear Analysis 2018 G. Canevari, A. Majumdar, Y. Wang: Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau-de Gennes Study (preprint) 2018 P. Cannarsa, G. Floridia, M. Yamamoto: Observability inequalities for transport equations through Carleman estimates (preprint) 2018 A. Carbotti, S. Dipierro, E. Valdinoci: Local density of Caputo-stationary functions of any order Complex Variables and Elliptic Equations p. 24, 2018 A. Carbotti, S. Dipierro, E. Valdinoci: Local density of solutions of time and space fractional equations (preprint) 2018 M. Carioni: A convex decomposition formula for the Mumford-Shah functional in dimension one Journal of Convex Analysis 2018 G. Carita, J. Matias, M. Morandotti, D. R. Owen: Dimension reduction in the context of structured deformations Journal of Elasticity Vol. 133, N. 1, p. 1--35, 2018 R. Carlone, M. Correggi, L. Tentarelli: An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions Nanosystems: Phys. Chem. Math. Vol. 9, N. 2, p. 187-195, 2018 R. Carlone, R. Figari, C. Negulescu, L. Tentarelli: Solvable models of quantum beating Nanosystems: Phys. Chem. Math. Vol. 9, N. 2, p. 162-170, 2018 M. Caroccia, R. Cristoferi, L. Dietrich: Equilibria configurations for epitaxial crystal growth with adatoms Archive for Rational Mechanics and Analysis p. 1-54, 2018 M. Carriero, A. Leaci, F. Tomarelli: Segmentation and Inpainting of Color Images Journal of Convex Analysis Vol. 25, N. 2, p. 435-458, 2018 J. A. Carrillo, S. Fagioli, F. Santambrogio, M. Schmidtchen: Splitting schemes & segregation in reaction-(cross-)diffusion systems SIAM J. Math. An. (Accepted Paper) 2018 J. A. Carrillo, F. Hoffmann, E. Mainini, B. Volzone: Ground States in the Diffusion-Dominated Regime Calc. Var. Partial Differential Equations Vol. 57, 2018 D. Castorina, G. Riey, B. Sciunzi: Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations Calculus of Variations and Partial Differential Equations (Accepted Paper) 2018 G. Catino: Rigidity of positively curved shrinking Ricci solitons in dimension four Geom. Flows (Accepted Paper) 2018 G. Catino, P. Mastrolia: Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds Int. Math. Res. Not. (Accepted Paper) 2018 F. Cavalletti, A. Mondino: New formulas for the Laplacian of distance functions and applications Analysis and PDE (Accepted Paper) 2018 F. Cavalletti, F. Santarcangelo: Isoperimetric inequality under Measure-Contraction property J. Funct. Anal. 2018 J. A. Cañizo, H. Yoldas: Asymptotic behaviour of neuron population models structured by elapsed-time (preprint) 2018 A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci: Minimizers for nonlocal perimeters of Minkowski type Calc. Var. Partial Differential Equations Vol. 57, N. 2, p. Art. 64, 40 pages, 2018 A. Cesaroni, M. Novaga: The isoperimetric problem for nonlocal perimeters Discrete Contin. Dyn. Syst. S Vol. 11, N. 3, p. 425-440, 2018 A. Chambolle, S. Conti, F. Iurlano: Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy J. Math. Pures Appl. 2018 C. N. Chen, Y. S. Choi, N. Fusco: The -limit of traveling waves in FitzHugh-Nagumo systems (Submitted Paper) 2018 W. Chen, S. J. N. Mosconi, M. Squassina: Nonlocal problems with critical Hardy nonlinearity J. Funct. Anal. (Accepted Paper) p. 36 pages, 2018 R. Choksi, X. Y. Lu: Bounds on the Geometric Complexity of Optimal Centroidal Voronoi Tesselations in 3D (Submitted Paper) 2018 R. Choksi, R. Neumayer, I. Topaloglu: Anisotropic liquid drop models (preprint) 2018 E. Cinti: Flatness results for nonlocal phase transitions Springer INDAM Series (Accepted Paper) 2018 E. Cinti, C. Sinestrari, E. Valdinoci: Convex sets evolving by volume preserving fractional mean curvature flows Analysis & PDE (Accepted Paper) 2018 M. Cirant, A. Goffi: On the existence and uniqueness of solutions to time-dependent fractional MFG SIAM Journal on Mathematical Analysis Vol. 51, N. 2, p. 913-954, 2018 G. Ciraolo, A. Figalli, F. Maggi, M. Novaga: Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature J. Reine Angew. Math. Vol. 741, p. 275-294, 2018 A. Clop, R. Giova, F. Hatami, A. Passarelli di Napoli: Congested traffic dynamics and very degenerate elliptic equations under supercritical Sobolev regularity (Submitted Paper) 2018 B. Colbois, A. Girouard, A. Hassannezhad: The Steklov and Laplacian spectra of Riemannian manifolds with boundary (preprint) 2018 P. Colli, M. Colturato: Global existence for a singular phase field system related to a sliding mode control problem Nonlinear Anal. Real World Appl. Vol. 41, p. 23, 2018 M. Colombo, C. De Lellis, L. De Rosa : Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations Comm. Math. Phys. Vol. 362, N. 2, p. 659-688, 2018 M. Colombo, A. De Rosa, A. Marchese: Improved stability of optimal traffic paths Calc. Var. Partial Differential Equations 2018 M. Colombo, L. Spolaor, B. Velichkov: On the asymptotic behavior of the solutions to parabolic variational inequalities J. Reine Agnew. Math. (Accepted Paper) 2018 M. Colturato: Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics Evol. Equ. Control Theory Vol. 7, p. 28, 2018 G. E. Comi: $BMO$-type norms and anisotropic surface measures Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Vol. 29, N. 3, p. 431-437, 2018 S. Conti, M. Focardi, F. Iurlano: A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems Commun. Contemp. Math. 2018 S. Conti, M. Focardi, F. Iurlano: Existence of strong minimizers for the Griffith static fracture model in dimension two Ann. I. H. Poincaré 2018 K. Craig, I. Topaloglu: Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient Flows in the Slow Diffusion Limit (preprint) 2018 G. Crasta, V. De Cicco: An extension of the pairing theory between divergence-measure fields and BV functions J. of Functional Analysis (Accepted Paper) 2018 G. Crasta, V. De Cicco: Anzellotti's pairing theory and the Gauss-Green theorem Advances in Mathematics (Accepted Paper) 2018 V. Crismale, G. Lazzaroni, G. Orlando: Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue Math. Models Methods Appl. Sci. Vol. 28, p. 1371-1412, 2018 V. Crismale, G. Orlando: A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,n}$ NoDEA Nonlinear Differential Equations Appl. Vol. 25, p. Article 25:16, 2018 R. Cristoferi: A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional ESAIM: COCV Vol. 24, N. 1, p. 401-435, 2018 R. Cristoferi: On periodic critical points and local minimizers of the Ohta-Kawasaki functional Nonlin. Anal. Vol. 168, p. 81-109, 2018 R. Cristoferi, M. Thorpe: Large Data Limit for a Phase Transition Model with the $p$-Laplacian on Point Clouds European Journal of Applied Mathematics Vol. 31, p. 185-231, 2018 S. Cruz Blázquez, D. Ruiz: Prescribing Gaussian and geodesic curvature on the disk Advanced Nonlinear Studies (Accepted Paper) p. 18, 2018 G. Csato, P. Roy, Van Hoang Nguyen: Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation (preprint) 2018 G. Dal Maso, I. Fonseca, G. Leoni: Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals Trans. Amer. Math. Soc. Vol. 370, N. 4, p. 27852823, 2018 G. Dal Maso, G. Franzina, D. Zucco: Transmission conditions obtained by homogenisation Nonlinear Analysis Vol. 177, N. part A, p. 361-386, 2018 A. Daniilidis, R. Deville, E. Durand-Cartagena: Metric and geometric relaxations of self-contracted curves (Preprint) 2018 A. Daniilidis, R. Deville, E. Durand-Cartagena, L. Rifford: Self contracted curves in Riemannian manifolds J. Math. Anal. Appl. Vol. 457, p. 1333-1352, 2018 N. A. Dao, Q. H. Nguyen: Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO Comptes Rendus Mathematique p. 12, 2018 G. David, E. Le Donne: A note on topological dimension, Hausdorff measure, and rectifiability (Submitted Paper) 2018 A. Davini, A. Siconolfi, M. Zavidovique: Random Lax-Oleinik semigroups for Hamilton-Jacobi systems J. Math. Pures Appl. Vol. 9, N. 120, p. 294333, 2018 E. Davoli, I. Fonseca: Relaxation of p-growth integral functionals under space-dependent differential constraints Trends in Applications of Mathematics to Mechanics. 2018 E. Davoli, P. Piovano: Analytical validation of the Young-Dupré law for epitaxially-strained thin films M3AS 2018 F. Dayrens, S. Masnou, M. Novaga: Existence, regularity and structure of confined elasticae ESAIM: COCV Vol. 24, N. 1, p. 25-43, 2018 V. De Cicco, D. Giachetti, S. Segura de León: Elliptic problems involving the 1-Laplacian and a singular lower order term J. of London Math. Soc. (Accepted Paper) 2018 C. De Lellis: Allard's interior regularity theorem: an invitation to stationary varifolds Proceedings of CMSA Harvard. Nonlinear analysis in geometry and applied mathematics. Part 2 p. 2349, 2018 C. De Lellis: Almgren's center manifold in a simple setting (Lecture Notes) 2018 C. De Lellis: The Onsager Theorem Surveys in Differential Geometry 2017. 2018 C. De Lellis, G. De Philippis, J. Hirsch, A. Massaccesi: On the boundary behavior of mass-minimizing integral currents To apper in Memoirs of the American Mathematical Society (Accepted Paper) 2018 C. De Lellis, A. De Rosa, F. Ghiraldin: A direct approach to the anisotropic Plateau's problem Adv. Calc. Var. 2018 C. De Lellis, D. Inauen, L. J. Székelyhidi: A Nash-Kuiper theorem for $C^{1,\frac{1}{5}-\delta}$ immersions of surfaces in $3$ dimensions Revista matemática Iberoamericana Vol. 34, N. 3, p. 1119-1152, 2018 C. De Lellis, A. Marchese, E. Spadaro, D. Valtorta: Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps Comm. Math. Helv. Vol. 93, N. 4, p. 737-779, 2018 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation Transactions AMS Vol. 370, N. 3, p. 17831801, 2018 G. De Philippis, A. De Rosa, F. Ghiraldin: Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies Comm. Pure App. Math. 2018 G. De Philippis, M. Goldman: A two-point function approach to connectedness of drops in convex potentials CAG (Accepted Paper) 2018 G. De Philippis, T. Laux: Implicit time discretization for the mean curvature flow of outward minimizing sets Ann. Sc. Norm. Super. Pisa Cl. Sci (Accepted Paper) 2018 G. De Philippis, L. Palmieri, F. Rindler: On the two-state problem for general differential operators Nonlinear Anal. (Accepted Paper) 2018 A. De Rosa: Minimization of anisotropic energies in classes of rectifiable varifolds SIAM J. Math. Anal. 2018 G. Del Nin: Sticky-disk limit of planar $N$-bubbles Adv. Calc. Var. (Accepted Paper) 2018 D. Di Donato: Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups (preprint) 2018 G. Di Fazio, T. Nguyen: Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations (preprint) 2018 M. Di Francesco, S. Fagioli, E. Radici: Deterministic particle approximation for nonlocal transport equations with nonlinear mobility Journal of Differential Equations 2018 G. Di Fratta, T. Führer, G. Gantner, D. Praetorius: Adaptive Uzawa algorithm for the Stokes equation (preprint) 2018 S. Di Marino, N. Gigli, E. Pasqualetto, E. Soultanis: Infinitesimal Hilbertianity of locally ${\rm Cat}(\kappa)$-spaces (Submitted Paper) 2018 S. Di Marino, J. Louet: The entropic regularization of the Monge problem on the real line SIAM J. Math. Anal. Vol. 50, N. 4, p. 3451-3477, 2018 G. Di Matteo: Analysis of Type I Singularities in the Harmonic Ricci Flow (Preprint) 2018 S. Dipierro, A. Pinamonti, E. Valdinoci: Rigidity results in Diffusion Markov Triples J. Funct. Anal. (Accepted Paper) 2018 N. Dirr, F. Dragoni, P. Mannucci, C. Marchi: Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations SIAM Journal on Mathematical Analysis Vol. 50, N. 5, p. 5198-5242, 2018 P. Dondl, S. Wojtowytsch: Keeping it together: a phase field version of path-connectedness and its implementation (preprint) 2018 F. Dragoni, E. Feleqi: Ergodic Mean Field Games with Hoermander diffusions Calc. Var. Partial Differential Equations Vol. 57, N. 5, p. 1-22, 2018 F. Dragoni, N. Garofalo, P. Salani: Starshapedeness for fully-nonlinear equations in Carnot groups Journal of the LMS Vol. 2, p. 1-18, 2018 L. Dufloux, V. Suomala: Projections of Poisson cut-outs in the Heisenberg group and the visual 3-sphere (Preprint) 2018 E. Durand-Cartagena, J. Gong, J. Á. Jaramillo: Sierpinski-type fractals are differentiably trivial (Preprint) 2018 E. Durand-Cartagena, J. Á. Jaramillo, N. Shanmugalingam: Existence and uniqueness of $\infty$-harmonic functions under assumption of $\infty$-Poincaré inequality Mathematische Annalen (Accepted Paper) 2018 E. Durand-Cartagena, A. Lemenant: Self-contracted curves are gradient flows of convex functions Proc. AMS (Preprint) 2018 S. Dweik: Transport and control problems with boundary costs: regularity and summability of optimal and equilibrium densities (Ph.D. Thesis) 2018 S. Dweik: Weighted Beckmann problem with boundary costs Quarterly of Applied Mathematics 2018 S. Dweik, F. Santambrogio: $L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D Calculus of Variations and PDE's (Accepted Paper) 2018 M. Engelstein, L. Spolaor, B. Velichkov: (Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents Geom. Topol. (Accepted Paper) 2018 M. Engelstein, L. Spolaor, B. Velichkov: Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional Duke Math. J. (Accepted Paper) 2018 S. Eriksson-Bique, J. Gill, P. Lahti, N. Shanmugalingam: Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces (Preprint) 2018 S. Fagioli, E. Radici: Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation Math. Mod. Meth. in Appl. Sci. 2018 S. Fanzon: Geometric Patterns and Microstructures in the study of Material Defects and Composites (Phd Thesis) 2018 F. Ferrari, M. Miranda Jr, D. Pallara, A. Pinamonti, Y. Sire: Fractional Laplacians, perimeters and heat semigroups in Carnot groups Discrete Contin. Dyn. Syst. Ser. S Vol. 11, p. 477-491, 2018 L. A. D. Ferrari, C. Rossmanith, B. Wirth: Phase field approximations of branched transportation problems (preprint) 2018 A. Figalli: Free boundary regularity in obstacle problems (Lecture Notes) 2018 A. Figalli: On the Continuity of Center-Outward Distribution and Quantile Functions Nonlinear Anal. (Accepted Paper) 2018 A. Figalli: On the Monge-Ampère equation (Lecture Notes) 2018 A. Figalli: Regularity of interfaces in phase transitions via obstacle problems Proceedings ICM 2018 (Proceedings) 2018 A. Figalli, F. Maggi, C. Mooney: The sharp quantitative Euclidean concentration inequality Camb. J. Math. (Accepted Paper) 2018 M. Focardi, F. Geraci, E. Spadaro: Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications JOTA 2018 M. Focardi, E. Spadaro: On the measure and the structure of the free boundary of the lower dimensional obstacle problem Archive for Rational Mechanics and Analysis Vol. 230, p. 125--184, 2018 M. Fogagnolo, L. Mazzieri, A. Pinamonti: Geometric aspects of p-capacitary potentials Ann. Inst. H. Poincaré Anal. Non Linéaire 2018 G. Franzina: Non-local Torsion functions and Embeddings Applicable Analysis 2018 D. Freeman, E. Le Donne: Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces (Submitted Paper) 2018 M. Friedrich, L. Kreutz: Crystallization in the hexagonal lattice for ionic dimers Math. Mod. Meth. Appl. Sci. (M3AS) (Accepted Paper) 2018 M. Friedrich, E. Mainini, P. Piovano, U. Stefanelli: Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule Arch. Ration. Mech. Anal. 2018 M. Friedrich, F. Solombrino: Quasistatic crack growth in 2d-linearized elasticity Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire Vol. 35, N. 1, p. 28--64, 2018 G. Fusco, G. F. Gronchi, M. Novaga: On the existence of heteroclinic connections São Paulo Journal of Mathematical Sciences Vol. 12, N. 1, p. 68-81, 2018 N. Fusco, V. Julin, M. Morini: The surface diffusion flow with elasticity in three dimensions (Submitted Paper) 2018 K. Fässler, E. Le Donne: On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups (Submitted Paper) 2018 G. A. Pavliotis, J. A. Carrillo, R. S. Gvalani, A. Schlichting: Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus (preprint) 2018 C. Geldhauser, C. Kuehn: Travelling waves in the discrete stochastic Nagumo equation (Preprint) 2018 D. Gerosa, R. Monti, D. Morbidelli: A trace theorem for Martinet-type vector fields Cont. Math. (Accepted Paper) 2018 F. Ghiraldin, X. Lamy: Optimal Besov differentiability for entropy solutions of the eikeonal equation (Submitted Paper) 2018 P. Gidoni, G. B. Maggiani, R. Scala: Existence and regularity of solutions for an evolution model of perfectly plastic plates (Preprint) 2018 N. Gigli, E. Pasqualetto: Differential structure associated to axiomatic Sobolev spaces (Preprint) p. 14, 2018 N. Gigli, E. Pasqualetto: On the notion of parallel transport on $\sf RCD$ spaces (preprint) 2018 N. Gigli, E. Pasqualetto, E. Soultanis: Differential of metric valued Sobolev maps (Submitted Paper) 2018 N. Gigli, L. Tamanini: Second order differentiation formula on $RCD(K,N)$ spaces Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (Proceedings) 2018 F. Glaudo: On the c-concavity with Respect to the Quadratic Cost on a Manifold Nonlinear Analysis Vol. 178, p. 145-151, 2018 M. Goldman: Pattern formation in variational models with interfacial terms (Ph.D. Thesis) 2018 M. Goldman: Self-similar minimizers of a branched transport functional Indiana (Accepted Paper) 2018 M. Goldman, M. Huesmann, F. Otto: A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem (Unpublished paper) 2018 M. Goldman, M. Novaga, B. Ruffini: On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint Anal. PDE Vol. 11, N. 5, p. 11131142, 2018 M. Goldman, F. Otto: A variational proof of partial regularity for optimal transportation maps Annales de l'ENS (Accepted Paper) 2018 S. Golo, S. Rigot: The Besicovitch covering property in the Heisenberg group revisited (preprint) 2018 R. Granero-Belinchón, M. Magliocca: Global existence and decay to equilibrium for some crystal surface models (preprint) 2018 G. Gravina, G. Leoni: Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems (preprint) 2018 G. Gravina, G. Leoni: On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem (preprint) 2018 E. Hakavuori, E. Le Donne: Blowups and blowdowns of geodesics in Carnot groups (Submitted Paper) 2018 S. Hencl, A. Pratelli: Diffeomorphic Approximation of $W^{1,1}$ Planar Sobolev Homeomorphisms J. Eur. Math. Soc. 2018 A. Henrot, D. Zucco: Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle Annali della Scuola Normale Superiore di Pisa (Accepted Paper) 2018 A. Hyder, L. Martinazzi: Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in dimension $6$ (preprint) 2018 M. Iacobelli, F. S. Patacchini, F. Santambrogio: Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour Arch. Rati. Mech. An. (Accepted Paper) 2018 A. Iannizzotto, S. J. N. Mosconi, M. Squassina: Fine boundary regularity for the degenerate fractional $p$-Laplacian (Preprint) 2018 J. A. Iglesias, G. Mercier, O. Scherzer: A note on convergence of solutions of total variation regularized linear inverse problems Inverse Problems 2018 J. A. Iglesias, M. Rumpf, O. Scherzer: Shape Aware Matching of Implicit Surfaces based on Thin Shell Energies Foundations of Computational Mathematics 2018 J. A. Iglesias, K. Sturm, F. Wechsung: Two-dimensional shape optimisation with nearly conformal transformations SIAM Journal on Scientific Computing 2018 N. Ikoma, A. Malchiodi, A. Mondino: Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature Intern. Math. Res. Not. (IMRN) (Accepted Paper) 2018 J. Á. Jaramillo, E. Le Donne, T. Rajala: Restricting open surjections Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Accepted Paper) 2018 T. Kappeler, M. van den Berg: On the $L^p$ norm of the torsion function (Submitted Paper) 2018 I. Kim, A. R. Mészáros: On nonlinear cross-diffusion systems: an optimal transport approach Calc. Var. Partial Differential Equations (Accepted Paper) 2018 H. Kovarik, B. Ruszkowski, T. Weidl: Melas-type bounds for the Heisenberg Laplacian on bounded domains J. Spectr. Theory Vol. 8, p. 413434, 2018 D. Krejcirik, G. P. Leonardi, P. Vlachopulos: The Cheeger constant of curved tubes Arkiv der Mathematik 2018 L. Kreutz: A homogenization result for weak membrane energies (Preprint) p. 44, 2018 D. A. La Manna: A short proof of a nonexistence result (Preprint) 2018 D. A. La Manna: An isoperimetric problem with a Coulombic repulsion and attractive term ESAIM: Control, Optimisation and Calculus of Variations (Accepted Paper) 2018 P. Lahti, L. Malý, N. Shanmugalingam, G. Speight: Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient Journal of Geometric Analysis (Accepted Paper) 2018 P. Lahti, N. Shanmugalingam: Trace theorems for functions of bounded variation in metric spaces J. Funct. Anal. Vol. 274, N. 10, p. 2754-2791, 2018 P. D. Lamberti, I. Y. Violo: On Stein's extension operator preserving Sobolev-Morrey spaces Math. Nachr. Vol. 292, N. 8, p. 1701-1715, 2018 H. Lavenant, F. Santambrogio: New estimates on the regularity of the pressure in density-constrained Mean Field Games Journal of the London Mathematical Society (Accepted Paper) 2018 G. Lazzaroni, L. Nardini: Analysis of a dynamic peeling test with speed-dependent toughness SIAM J. Appl. Math. Vol. 78, p. 1206-1227, 2018 G. Lazzaroni, L. Nardini: On the quasistatic limit of dynamic evolutions for a peeling test in dimension one J. Nonlinear Sci. Vol. 28, p. 269-304, 2018 G. Lazzaroni, R. Rossi, M. Thomas, R. Toader: Rate-independent damage in thermo-viscoelastic materials with inertia J. Dynam. Differential Equations Vol. 30, p. 1311-1364, 2018 G. Lazzaroni, U. Stefanelli: Chain-like ground states in three dimensions Transactions of Mathematics and Its Applications Vol. 2, p. 1-22, 2018 E. Le Donne, G. P. Leonardi, R. Monti, D. Vittone: Extremal polynomials in stratified groups Comm. Anal. and Geom. Vol. 26, p. 723757, 2018 E. Le Donne, S. Li, T. Moisala: Gateaux differentiability on infinite-dimensional Carnot groups (Submitted Paper) 2018 Leandro Freitas Pessoa, L. Mari: Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview (preprint) 2018 G. P. Leonardi, M. Ritoré, E. Vernadakis: Isoperimetric inequalities in unbounded convex bodies Mem. AMS (Accepted Paper) 2018 G. P. Leonardi, G. Saracco: The prescribed mean curvature equation in weakly regular domains NoDEA Nonlinear Differential Equations Appl. Vol. 25, N. 2, p. 9, 2018 G. P. Leonardi, G. Saracco: Two examples of minimal Cheeger sets in the plane Ann. Mat. Pura Appl. (4) Vol. 197, N. 5, p. 1511, 2018 G. Leoni, I. Tice: Traces for homogeneous Sobolev spaces in infinite strip-like domains (preprint) 2018 Q. R. Li, F. Santambrogio, X. J. Wang: Continuity for the Monge mass transfer problem in two dimensions Arch. Rati. Mech. An. (Accepted Paper) 2018 P. Liu, X. Y. Lu: Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties (Submitted Paper) 2018 Z. Liu, M. Squassina, J. Zhang: Modulational stability of ground states to nonlinear Kirchhoff equations (Accepted Paper) 2018 R. Lopez-Soriano, A. Malchiodi, D. Ruiz: Conformal metrics with prescribed gaussian and geodesic curvatures (Preprint) 2018 A. Lorent, G. Peng: Null Lagrangian Measures in subspaces, compensated compactness and conservation laws (Preprint) 2018 I. Lucardesi, M. Morandotti, R. Scala, D. Zucco: Confinement of dislocations inside a crystal with a prescribed external strain Riv. Mat. Univ. Parma Vol. 9, N. 2, p. 283-327, 2018 R. Luisto, E. Prywes: Characterization of branched covers with simplicial branch sets (preprint) 2018 L. Luperi Baglini, M. Squassina, B. Vieri: Generalized solutions of variational problems and applications (Submitted Paper) 2018 L. Lussardi, S. Marini, M. Veneroni: Stochastic homogenization of maximal monotone relations and applications Netw. Heterog. Media Vol. 13, N. 1, p. 27-45, 2018 D. Lui: Dimension reduction problems in the modelling of hydrogel thin films (Ph.D. Thesis) 2018 D. Lui, E. Pasqualetto: Infinitesimal Hilbertianity of weighted Riemannian manifolds (Preprint) 2018 D. Lui, E. Pasqualetto: The Serre-Swan theorem for normed modules Rendiconti del Circolo Matematico di Palermo p. 20, 2018 A. Maalaoui, A. Pinamonti: Interpolations and Fractional Sobolev Spaces in Carnot Groups Nonlinear Analysis (Accepted Paper) 2018 F. Maddalena, D. Percivale, F. Tomarelli: Variational Problems for Foppl-von Karman plates SIAM J. Math. Anal. Vol. 50, N. 1, p. 251--282, 2018 V. Magnani, E. Stepanov, D. Trevisan: A rough calculus approach to level sets in the Heisenberg group J. Lond. Math. Soc. Vol. 97, N. 3, p. 495522, 2018 V. Magnani, D. Trevisan: On Lipschitz vector fields and the Cauchy problem in homogeneous groups Commun. Contemp. Math. Vol. 20, N. 5, p. 21, 2018 E. Mainini, M. Monteverde, E. Oudet, D. Percivale: The minimal resistance problem in a class of non convex bodies ESAIM: COCV 2018 A. Malchiodi, M. Mayer: Prescribing Morse scalar curvatures: blow-up analysis (Preprint) p. 53, 2018 A. Malchiodi, M. Mayer: Prescribing Morse scalar curvatures: subcritical blowing-up solutions (Preprint) p. 27, 2018 A. Malusa, M. Novaga: Crystalline evolutions in chessboard-like microstructures Networks and Heterogeneous Media Vol. 13, N. 3, p. 493-513, 2018 L. Malý, N. Shanmugalingam: Neumann problem for p-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity J. Diff. Eq. Vol. 265, N. 6, p. 2431-2460, 2018 A. Marchese, S. Stuvard: On the structure of flat chains modulo $p$ Adv. Calc. Var. Vol. 11, N. 3, p. 309-323, 2018 A. Marchese, B. Wirth: Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass J. Math. Anal. Appl. 2018 E. Marconi: Regularity estimates for scalar conservation laws in one space dimension Journal of Hyperbolic Differential Equations 2018 G. Mazanti, F. Santambrogio: Minimal-Time Mean Field Games Math. Mod. Meth. Appl. Sci. (Accepted Paper) 2018 D. Mazzoleni, B. Pellacci, G. Verzini: Asymptotic spherical shapes in some spectral optimization problems J. Math. Pures Appl. (Accepted Paper) 2018 D. Mazzoleni, S. Terracini, B. Velichkov: Regularity of the free boundary for the vectorial Bernoulli problem Analysis & PDE (Accepted Paper) 2018 D. Melching, R. Scala, J. Zeman: Damage model for plastic materials at finite strains (Preprint) 2018 U. Menne, C. Scharrer: An isoperimetric inequality for diffused surfaces Kodai Mathematical Journal Vol. 41, N. 1, p. 70-85, 2018 S. Modena, L. J. Székelyhidi: Non-renormalized solutions to the continuity equation (Submitted Paper) p. 29, 2018 A. Mondino, D. Semola: Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below Journal de Mathématiques Pures et Appliquées 2018 A. Mondino, S. Suhr: An optimal transport formulation of the Einstein equations of general relativity Journal of the European Math. Society (JEMS) (Accepted Paper) p. 60, 2018 A. Monteil, F. Santambrogio: Metric methods for heteroclinic connections in infinite dimensional spaces Indiana Univ. Math. J. (Accepted Paper) 2018 R. Monti: The regularity problem for geodesics of the control distance Bruno Pini Mathematical Analysis Seminar, 2018, 9, 137--146 (Proceedings) 2018 R. Monti, A. Pigati, D. Vittone: Existence of tangent lines to Carnot-Carathéodory geodesics Calc. Var. Partial Differential Equations 57 2018 R. Monti, A. Pigati, D. Vittone: On tangent cones to length minimizers in Carnot-Carathéodory spaces SIAM J. Control Optim. 56 (2018) 2018 D. D. Monticelli, F. Punzo, M. Squassina: Nonexistence for hyperbolic problems on riemannian manifolds Asymptotic Anal. (Accepted Paper) 2018 M. Morandotti: Structured Deformations of Continua: Theory and Applications Mathematical Analysis of Continuum Mechanics and Industrial Applications II (Proceedings) p. 125-136, 2018 A. Mramor, S. Wang: Low Entropy and the Mean Curvature Flow with Surgery (preprint) 2018 C. Muratov, M. Novaga, B. Ruffini: On equilibrium shapes of charged flat drops Comm. Pure Appl. Math. Vol. 71, N. 6, p. 1049-1073, 2018 P. T. NGUYEN, Q. H. Nguyen: Onsager's conjecture on the energy convervation for solutions of Euler's equation in bounded domains Journal of Nonlinear Science. p. 5, 2018 P. T. NGUYEN, Q. H. Nguyen, Q. B. TANG : Energy conservation for inhomogeneous incompressible and compressible Euler equations (Submitted Paper) 2018 P. T. NGUYEN, Q. H. Nguyen, Q. B. TANG: Energy equalities for compressible Navier-Stokes equations Nonlinearity (Accepted Paper) 2018 S. Nardulli: Regularity of isoperimetric regions that are close to a smooth manifold Bulletin of the Brazilian Mathematical Society p. 75, 2018 S. Nardulli, P. Pansu: A complete Riemannian manifold whose isoperimetric profile is discontinuous Annali della Scuola Normale Superiore di Pisa Classe di Scienze Vol. XVII, N. 2, p. 12, 2018 C. P. Nguyen , Q. H. Nguyen: Good-$\lambda$ and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications Math. Ann. (Accepted Paper) 2018 Q. H. Nguyen: Quantitative estimates for regular Lagrangian flows with $BV$ vector fields Comm. Pure Appl. Math. (Accepted Paper) p. 50, 2018 Q. H. Nguyen, J. L. Vazquez: Porous medium equation with nonlocal pressure in a bounded domain COM.PDE (Accepted Paper) 2018 S. Nicolussi Golo, F. Serra Cassano: The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group (preprint) 2018 M. Novack: Dimension reduction for the Landau-de Gennes model: the vanishing nematic correlation length limit SIAM Journal on Mathematical Analysis 2018 M. Novaga, D. Pallara, Y. Sire: A fractional isoperimetric problem in the Wiener space J. Anal. Math. Vol. 134, N. 2, p. 787-800, 2018 D. Ntalampekos, M. Romney: On the inverse absolute continuity of quasiconformal mappings on hypersurfaces (Submitted Paper) 2018 H. Olbermann: On a $$-limit of Willmore functionals with additional curvature penalization term (preprint) 2018 F. Oronzio: Alcune relazioni tra curvatura e topologia per mezzo delle funzioni distanza (Degree Thesis) 2018 D. Pagliardini: Fractional minimal surfaces and Allen-Cahn equations (Phd Thesis) 2018 G. Palatucci: The Dirichlet problem for the $p$-fractional Laplace equation Nonlinear Analysis Vol. 177, p. 699--732, 2018 E. Paolini, E. Stepanov: Flows of measures generated by vector fields Proc. Royal Soc. Edinburgh Ser. A - Mathematics 2018 E. Paolini, A. Tamagnini: Minimal cluster computation for four planar regions with the same area Geometric Flows Vol. 3, N. 1, p. 90--96, 2018 E. Paolini, A. Tamagnini: Minimal clusters of four planar regions with the same area ESAIM: COCV Vol. 24, N. 3, p. 1303-1331, 2018 E. Pasqualetto: Structural and geometric properties of $\sf RCD$ spaces (Ph.D. Thesis) p. xviii+180, 2018 A. Pinamonti, G. Speight, S. Zimmerman: A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group Trans AMS (Accepted Paper) 2018 A. Ponce, D. Spector: A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$ (Preprint) 2018 D. Prandi, L. Rizzi, M. Seri: Quantum confinement on non-complete Riemannian manifolds Journal of Spectral Theory Vol. 8, N. 4, p. 1221--1280, 2018 A. Pratelli, E. Radici: On the planar minimal BV extension problem Rend. Lincei Mat. Appl. 2018 A. Pratelli, G. Saracco: On the isoperimetric problem with double density Nonlinear Anal. Vol. 177, N. B, p. 733--752, 2018 K. Rajala, M. Romney: Reciprocal lower bound on modulus of curve families in metric surfaces Ann. Acad. Sci. Fenn. Math. (Accepted Paper) 2018 V. Recupero, F. Santambrogio: Sweeping processes with prescribed behaviour on jumps Annali di Matematica Pura ed Applicata (Accepted Paper) 2018 R. Rios-Zertuche: Characterization of minimizable Lagrangian action functionals and a dual Mather theorem (preprint) 2018 R. Rios-Zertuche: Deformations of closed measures and variational characterization of measures invariant under the Euler-Lagrange flow (preprint) 2018 R. Rios-Zertuche: Existence of differentiable curves in convex sets and the concept of direction of the flow in mass transportation (preprint) 2018 M. Romney: Singular quasisymmetric mappings in dimensions two and greater (Submitted Paper) 2018 A. Roncoroni: A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument Comptes Rendus Mathematique (Accepted Paper) 2018 R. Rossi: From visco to perfect plasticity in thermoviscoelastic materials Zeitschrift fur Angewandte Mathematik und Mechanik (Accepted Paper) 2018 R. Rossi, G. Savaré, A. Segatti, U. Stefanelli: Weighted Energy-Dissipation principle for gradient flows in metric spaces (Submitted Paper) 2018 M. Ruf: Discrete stochastic approximations of the Mumford-Shah functional Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2018 M. Ruf: Motion of discrete interfaces in low-contrast random environments ESAIM: COCV Vol. 24, p. 1275 - 1301, 2018 F. Santambrogio: A short story on optimal transport and its many applications Snapshots of modern mathematics from Oberwolfach 2018 F. Santambrogio: Crowd motion and evolution PDEs under density constraints proceedings of the 2017 SMAI conference (Accepted Paper) 2018 G. Saracco: Weighted Cheeger sets are domains of isoperimetry Manuscripta Math. Vol. 156, N. 3--4, p. 371--381, 2018 R. Scala, N. Van Goethem: A variational approach to single crystals with dislocations SIAM J. Math. Anal. (Accepted Paper) 2018 R. Scala, N. Van Goethem: Variational evolution of dislocations in single crystals Journal of Nonlinear Science (Accepted Paper) 2018 C. Scheven, T. Schmidt: On the dual formulation of obstacle problems for the total variation and the area functional Ann. Inst. Henri Poincaré, Anal. Non Linéaire Vol. 35, p. 1175-1207, 2018 A. Schikorra, T. T. Shieh, D. Spector: Regularity for a fractional $p$-Laplace equation Commun. Contemp. Math. Vol. 20, N. 1, p. 7, 2018 G. Scilla, F. Solombrino: Delayed loss of stability in singularly perturbed finite-dimensional gradient flows Asymptot. Anal. Vol. 110, N. 1-2, p. 1-19, 2018 G. Scilla, F. Solombrino: Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach Nonlinearity Vol. 31, N. 11, p. 5036-5074, 2018 G. Scilla, V. Vallocchia: Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions Journal of Elasticity Vol. 132, N. 2, p. 271-293, 2018 I. Shafrir, D. Spector: Best constants for two families of higher order critical Sobolev embeddings (Preprint) p. 16, 2018 T. T. Shieh, D. Spector: On a new class of fractional partial differential equations II Adv. Calc. Var. Vol. 11, N. 3, p. 289307, 2018 N. Soave, H. Tavares, S. Terracini, A. Zilio: Variational problems with long-range interaction Archive for Rational Mechanics and Analysis Vol. 228, N. 3, 2018 N. Soave, S. Terracini: The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem Advances in Mathematics Vol. 334, 2018 N. Soave, T. Weth: The unique continuation property of sublinear equations SIAM Journal of Mathematical Analysis Vol. 50, N. 4, p. 3919--3938, 2018 D. Spector: An Optimal Sobolev Embedding for $L^1$ (preprint) 2018 D. Spector, S. Spector: Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity Arch. Ration. Mech. Anal. (Preprint) p. 38, 2018 D. Spector, J. Van Schaftingen: Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma (Preprint) p. 20, 2018 L. Spolaor: Almgren's type regularity for Semicalibrated Currents Adv. Math. (Accepted Paper) 2018 L. Spolaor, B. Trey, B. Velichkov: Free boundary regularity for a multiphase shape optimization problem Communications in Partial Differential Equations (Accepted Paper) 2018 G. Stefani: On the monotonicity of perimeter of convex bodies J. Convex Anal. Vol. 25, N. 1, p. 93--102, 2018 E. Tasso: On the continuity of the trace operator in $GSBV(\Omega)$ and $GSBD(\Omega)$ ESAIM: COCV (Accepted Paper) 2018 L. Tentarelli, P. Tilli: De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations Comm. Partial Differential Equations Vol. 43, N. 4, p. 677-698, 2018 S. Terracini, G. Tortone, S. Vita: On s-harmonic functions on cones Analysis & PDE 2018 D. Tewodrose: Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below (Ph.D. Thesis) 2018 P. Tilli, D. Zucco: Spectral partitions for Sturm-Liouville problems Proc. Roy. Soc. Edinburgh Sect. A (Accepted Paper) 2018 A. Tribuzio: Perturbations of minimizing movements and curves of maximal slope Networks and Heterogeneous Media Vol. 13, N. 3, p. 423-448, 2018 cavallotto: Existence and regularity results for minimal sets; Plateau problem (Ph.D. Thesis) 2018 M. van den Berg: Heat content in non-compact Riemannian manifolds Integral Equations Operator Theory (Submitted Paper) 2018 P. Álvarez-Caudevilla, M. Bonnivard, A. Lemenant: Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials (preprint) 2018