Papers 2018
- 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) - C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (preprint)
On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation (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) - M. Basok - D. Cherkashin - N. Rastegaev - Y. Teplitskaya (preprint)
On uniqueness in Steiner problem (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 (Journal of Functional Analysis)
Linear Lipschitz and $C^1$ extension operators through random projections (2018) - E. Bruè - Q. H. Nguyen (Advances in Nonlinear Analysis)
On the Sobolev space of functions with derivative of logarithmic order (2018) - E. Bruè - Q. H. Nguyen (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) - 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) - J. A. Cañizo - H. Yoldas (preprint)
Asymptotic behaviour of neuron population models structured by elapsed-time (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 (Nonlinear Analysis)
Transmission conditions obtained by homogenisation (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) - A. Davini - A. Siconolfi - M. Zavidovique (J. Math. Pures Appl.)
Random Lax-Oleinik semigroups for Hamilton-Jacobi systems (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) - M. Goldman - G. De Philippis (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) - S. Fanzon (Phd Thesis)
Geometric Patterns and Microstructures in the study of Material Defects and Composites (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) - 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 (Proceedings: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
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) - 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) - 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) - A. Tribuzio (Networks and Heterogeneous Media)
Perturbations of minimizing movements and curves of maximal slope (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)