, S. Di Marino, M. Squassina:
New characterizations of Sobolev metric spaces
(Preprint) 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. Buttazzo, S. Guarino Lo Bianco, E. Oudet:
Optimal one-dimensional reinforcement for elastic membranes
(Preprint) 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. Alessi, V. Crismale, G. Orlando:
Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach
J. Nonlinear Sci. (Accepted 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
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, E. Bruè, D. Semola:
Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces
(Preprint) p. 45, 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
(Submitted Paper) 2018
L. Ambrosio, F. Glaudo:
Finer estimates on the 2-dimensional matching problem
(Submitted Paper) p. 23, 2018
L. Ambrosio, S. Honda, J. Portegies, D. Tewodrose:
Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions
(Submitted Paper) 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 (Accepted Paper) 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
L. Ambrosio, G. Stefani:
Heat and entropy flows in Carnot groups
(Submitted Paper) 2018
L. Ambrozio, R. Buzano, A. Carlotto, B. Sharp:
Bubbling analysis and geometric convergence results for free boundary
minimal surfaces
(preprint) 2018
L. Ambrozio, R. Buzano, A. Carlotto, B. Sharp:
Geometric convergence results for closed minimal surfaces via bubbling
analysis
(preprint) 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
(Submitted Paper) 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
Ankik Kumar Giri, P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK, P. Laurençot:
Mass-conserving solutions to the Smoluchowski coagulation equation with
singular kernel
(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
W. Ao, A. Jevnikar, W. Yang:
Wave equations associated to Liouville-type problems: global existence in time and blow up criteria
(Preprint) 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, 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
(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
A. Bach, A. Braides, C. I. Zeppieri:
Quantitative analysis of finite-difference approximations of free-discontinuity problems
(Submitted Paper) 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:
Existence of a LensShaped Cluster of Surfaces SelfShrinking by Mean Curvature
(Submitted Paper) 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
M. Barchiesi, V. Julin:
Symmetry of minimizers of a Gaussian isoperimetric problem
(Preprint) 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, Y. Chitour, F. Jean, D. Prandi, M. Sigalotti:
On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures
Journal de Mathématiques Pures et Appliquées (Accepted Paper) 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
E. Battaglia, R. Monti, A. Righini:
Stable hypersurfaces in the complex projective space
(Submitted Paper) 2018
F. Baudoin, E. Grong, G. Molino, L. Rizzi:
H-type foliations
(Preprint) 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. Berendsen, V. Pagliari:
On the asymptotic behaviour of nonlocal perimeters
ESAIM: COCV (Accepted Paper) 2018
G. Bevilacqua, L. Lussardi, A. Marzocchi:
Soap film spanning an elastic link
Quart. Appl. Math. (Accepted Paper) 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
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. Bonacini, E. Davoli, M. Morandotti:
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
(Submitted Paper) 2018
M. Bonafini, G. Orlandi, E. Oudet:
Variational approximation of functionals defined on 1-dimensional connected sets: the planar case
SIAM J. Math. Anal. (Accepted Paper) 2018
M. Bonafini, E. Oudet:
A convex approach to the Gilbert-Steiner problem
(Submitted Paper) 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
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
W. Borrelli, R. Carlone, L. Tentarelli:
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit
SIAM J. Math. Anal. (Accepted Paper) 2018
W. Borrelli, R. L. Frank:
Sharp decay estimates for critical Dirac equations
(Submitted Paper) 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 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, P. Cermelli, S. Dovetta:
$\Gamma$-limit of the cut functional on dense graph sequences
(Preprint) 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, A. Malusa, M. Novaga:
Crystalline evolutions with rapidly oscillating forcing terms
Ann. Scuola Normale Sup.Pisa (Accepted Paper) 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
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
K. Bredies, M. Carioni:
Sparsity of solutions for variational inverse problems with finite-dimensional data
(Submitted Paper) 2018
E. Bruè, S. Di Marino, F. Stra:
Linear Lipschitz and $C^1$ extension operators through random projections
(Preprint) 2018
E. Bruè, Q. H. Nguyen:
On the Sobolev space of functions with derivative of logarithmic order
Advances in Nonlinear Analysis (Accepted Paper) 2018
E. Bruè, Q. H. Nguyen:
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields
(Submitted Paper) p. 18, 2018
E. Bruè, Q. H. Nguyen, G. Stefani:
A maximal function characterization of absolutely continuous measures and Sobolev functions
(Submitted Paper) 2018
E. Bruè, D. Semola:
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Comm. Pure and Applied Math. (Accepted Paper) p. 44, 2018
E. Bruè, D. Semola:
Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces
(Preprint) 2018
D. Bucur, S. Cito:
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter
(Preprint) 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
G. Buttazzo, H. Shrivastava:
Optimal shapes for general integral functionals
(Submitted Paper) 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 (Accepted Paper) 2018
D. Campbell, S. Hencl, A. Kauranen, E. Radici:
Strict limits of planar BV homeomorphisms
(Submitted Paper) 2018
G. Canevari, A. Majumdar, B. Stroffolini:
Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic Energy
to appear in Archive for Rational Mechanics and Analysis (Preprint) p. 42, 2018
G. Canevari, G. Orlandi:
Improved partial regularity for manifold-constrained minimisers of subquadratic energies
(Submitted Paper) p. 13, 2018
G. Canevari, G. Orlandi:
Topological singular set of vector-valued maps, I: Applications to manifold-constrained Sobolev and BV spaces
(Submitted Paper) p. 45, 2018
P. Cannarsa, G. Floridia, M. Yamamoto:
Observability inequalities for transport equations through Carleman
estimates
(preprint) 2018
M. Caponi:
Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation
(Submitted Paper) 2018
M. Caponi, I. Lucardesi, E. Tasso:
Energy-dissipation balance of a smooth moving crack
(Submitted Paper) 2018
M. Carioni:
A convex decomposition formula for the Mumford-Shah functional in dimension one
Journal of Convex Analysis 2018
M. Carioni, J. Fischer, A. Schlömerkemper:
External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
(Preprint) 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
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. Caroccia, N. Van Goethem:
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
(Preprint) p. 41, 2018
M. Carriero, A. Leaci, F. Tomarelli:
Segmentation and Inpainting of Color Images
Journal of Convex Analysis Vol. 25, N. 2, 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 (Accepted Paper) 2018
D. Castorina, C. Mantegazza, B. Sciunzi:
A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds
(Submitted Paper) 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:
A potential generalization of some canonical Riemannian metrics
Ann. Glob. Anal. Geom. (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
G. Catino, P. Mastrolia:
Weyl scalars on compact Ricci solitons
J. Geom. Anal. (Accepted Paper) 2018
G. Catino, P. Mastrolia, D. D. Monticelli, F. Punzo:
Four dimensional closed manifolds admit a weak harmonic Weyl metric
(Submitted Paper) 2018
G. Catino, D. D. Monticelli, F. Punzo:
The Poisson equation on manifolds with positive essential spectrum
(Submitted Paper) 2018
F. Cavalletti, A. Mondino:
New formulas for the Laplacian of distance functions and applications
(Preprint) 2018
F. Cavalletti, F. Santarcangelo:
Isoperimetric inequality under Measure-Contraction property
(Preprint) 2018
A. Cesaroni, S. Dipierro, M. Novaga, E. Valdinoci:
Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type
(Submitted Paper) 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, S. Dipierro, M. Novaga, E. Valdinoci:
Minimizers of the $p$-oscillation functional
Discrete Contin. Dyn. Syst. A (Accepted Paper) 2018
A. Cesaroni, M. Novaga:
Symmetric self-shrinkers for the fractional mean curvature flow
(Submitted Paper) 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. Cesaroni, V. Pagliari:
Convergence of nonlocal geometric flows to anisotropic mean curvature motion
(Preprint) 2018
A. Chambolle, V. Crismale:
A density result in $GSBD^p$ with applications to the approximation of brittle fracture energies
Arch. Rational Mech. Anal. (Accepted Paper) 2018
A. Chambolle, V. Crismale:
Compactness and lower semicontinuity in $GSBD$
J. Eur. Math. Soc. (JEMS) (Accepted Paper) 2018
A. Chambolle, V. Crismale:
Existence of strong solutions to the Dirichlet problem for the Griffith
energy
(preprint) 2018
A. Chambolle, V. Crismale:
Phase-field approximation for a class of cohesive fracture energies with
an activation threshold
(preprint) 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
V. Chousionis, V. Magnani, J. T. Tyson:
On uniform measures in the Heisenberg group
(Submitted Paper) 2018
M. Cicalese, A. Gloria, M. Ruf:
From statistical polymer physics to nonlinear elasticity
(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
(Submitted Paper) 2018
M. Cirant, A. Goffi:
Lipschitz regularity for viscous Hamilton-Jacobi equations with $L^p$ terms
(Submitted Paper) 2018
M. Cirant, A. Goffi:
On the existence and uniqueness of solutions to time-dependent fractional MFG
(Submitted Paper) 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
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, A. De Rosa, A. Marchese:
Stability for the mailing problem
J. Math. Pures Appl. 2018
M. Colombo, L. Spolaor, B. Velichkov:
On the asymptotic behavior of the solutions to parabolic variational inequalities
(Submitted Paper) 2018
M. Colturato:
Phase field systems with maximal monotone nonlinearities related to sliding mode control problems
(Ph.D. Thesis) 2018
M. Colturato:
Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics
EECT 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
G. E. Comi, V. Magnani:
The Gauss-Green theorem in stratified groups
(Submitted Paper) 2018
S. Conti, M. Focardi, F. Iurlano:
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems
(Submitted Paper) 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
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:
On the approximation of $SBD$ functions and some applications
(Preprint) 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, I. Fonseca:
Piecewise constant reconstruction of damaged color images
ESAIM: COCV (Accepted Paper) 2018
R. Cristoferi, I. Fonseca, A. Hagerty, C. Popovici:
A homogenization result in the gradient theory of phase transitions
(Submitted Paper) 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 (Accepted Paper) 2018
S. Cruz Blázquez, D. Ruiz:
Prescribing Gaussian and geodesic curvature on the disk
Advanced Nonlinear Studies (Accepted Paper) p. 18, 2018
G. Cupini, N. Fusco, E. Lanconelli, X. Zhong:
A sharp stability result for the Gauss mean value formula
(Submitted Paper) 2018
G. Dal Maso, L. De Luca:
A minimization approach to the wave equation on time-dependent domains
Adv. Calc. Var. (Accepted Paper) 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 (Accepted Paper) 2018
G. Dal Maso, C. J. Larsen, R. Toader:
Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition
J. Math. Pures Appl. (Accepted Paper) 2018
G. Dal Maso, R. Toader:
On the Cauchy problem for the wave equation on time-dependent domains
(Submitted Paper) 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
E. Davoli, M. Friedrich:
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
(Submitted Paper) 2018
E. Davoli, P. Piovano:
Analytical validation of the Young-Dupré law for epitaxially-strained thin films
(Submitted Paper) 2018
E. Davoli, P. Piovano:
Derivation of a heteroepitaxial thin-film model
(Submitted Paper) 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:
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:
Boundary regularity of mass-minimizing integral currents and a question of Almgren
To appear in the Matrix Annals (Accepted Paper) 2018
C. De Lellis, G. De Philippis, J. Hirsch, A. Massaccesi:
On the boundary behavior of mass-minimizing integral currents
(Preprint) 2018
C. De Lellis, D. Inauen :
$C^{1,\alpha} isometric embeddings of polar caps
(Preprint) 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
L. De Luca, M. Goldman, M. Strani:
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Math. Annalen (Accepted Paper) 2018
L. De Luca, M. Novaga, M. Ponsiglione:
$\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter
J. Nonlinear Sci. (Accepted Paper) 2018
G. De Philippis, M. Goldman:
A two-point function approach to connectedness of drops in convex potentials
(Preprint) 2018
G. De Philippis, T. Laux:
Implicit time discretization for the mean curvature flow of outward minimizing sets
(Preprint) 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, S. Gioffrè:
Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces
(Preprint) 2018
A. De Rosa, S. Kolasiski:
Equivalence of the ellipticity conditions for geometric variational problems
(Preprint) 2018
G. Del Nin:
Sticky-disk limit of planar $N$-bubbles
(preprint) 2018
D. Di Donato:
Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot
Groups
(preprint) 2018
M. Di Francesco, S. Fagioli, E. Radici:
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
(Submitted Paper) 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
S. Dipierro, A. Pinamonti, E. Valdinoci:
Rigidity results in Diffusion Markov Triples
J. Funct. Anal. (Accepted Paper) 2018
E. Dolera, E. Mainini:
On uniform continuity of posterior distributions
(Preprint) 2018
S. Don, A. Massaccesi, D. Vittone:
Rank-one theorem and subgraphs of BV functions in Carnot groups
Journal of Functional Analysis (Accepted Paper) 2018
S. Don, D. Vittone:
A compactness result for BV functions in metric spaces
(preprint) 2018
S. Don, D. Vittone:
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
(preprint) 2018
P. Dondl, S. Wojtowytsch:
Keeping it together: a phase field version of path-connectedness and its
implementation
(preprint) 2018
P. W. Dondl, M. Novaga, B. Wirth, S. Wojtowytsch:
Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields
(Submitted Paper) 2018
F. Dragoni, D. Filali:
Starshaped and convex sets in Carnot groups and in the geometries of vector fields.
(Preprint) 2018
E. Durand-Cartagena, S. Eriksson-Bique, R. Korte, N. Shanmugalingam:
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a $1$-Poincaré inequality
(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:
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
(Preprint) 2018
S. Eriksson-Bique, J. Gill, P. Lahti, N. Shanmugalingam:
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces
(Submitted Paper) 2018
S. Fagioli, E. Radici:
Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation
(Submitted Paper) 2018
S. Fanzon, M. Palombaro, M. Ponsiglione:
Derivation of Linearised Polycrystals from a 2D system of edge dislocations
(Submitted Paper) 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
A. Figalli, J. Serra:
On the fine structure of the free boundary for the classical obstacle problem
Invent. 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:
How a minimal surface leaves a thin obstacle
(Preprint) 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 (Accepted Paper) 2018
G. Franzina:
Non-local Torsion functions and Embeddings
Applicable Analysis (Accepted Paper) 2018
L. Freddi, P. Hornung, M. G. Mora, R. Paroni:
Generalised Sadowsky theories for ribbons from three-dimensional nonlinear elasticity
(Submitted Paper) 2018
D. Freeman, E. Le Donne:
Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces
(Submitted Paper) 2018
E. Fried, L. Lussardi:
Monotonicity formulae for smooth extremizers of integral functionals
Rend. Lincei Mat. Appl. (Accepted Paper) p. 1-12, 2018
M. Friedrich, L. Kreutz:
Crystallization in the hexagonal lattice for ionic dimers
(Submitted 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
A. Garroni, Mark A. Peletier, L. Scardia, P. van Meurs:
Convergence and non-convergence of many-particle evolutions with
multiple signs
(preprint) 2018
C. Geldhauser, C. Kuehn:
Travelling waves in the discrete stochastic Nagumo equation
(Preprint) 2018
I. Gentil, C. Léonard, L. Ripani, L. Tamanini:
An entropic interpolation proof of the HWI inequality
(Preprint) 2018
A. Gerolin, A. Kausamo, T. Rajala:
Duality theory for multi-marginal optimal transport with repulsive costs
in metric spaces
(preprint) 2018
A. Gerolin, A. Kausamo, T. Rajala:
Non-existence of optimal transport maps for the multi-marginal repulsive
harmonic cost
(preprint) 2018
D. Gerosa, R. Monti, D. Morbidelli:
A trace theorem for Martinet-type vector fields
(Submitted 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 RCD spaces
(Submitted Paper) 2018
N. Gigli, E. Pasqualetto, E. Soultanis:
Differential of metric valued Sobolev maps
(Submitted Paper) 2018
N. Gigli, L. Tamanini:
Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces
(Preprint) 2018
N. Gigli, L. Tamanini:
Second order differentiation formula on $RCD^*(K,N)$ spaces
(Submitted Paper) 2018
F. Glaudo:
On the c-concavity with Respect to the Quadratic Cost on a Manifold
Nonlinear Analysis Vol. 178, p. 145-151, 2018
A. Gloria, M. Ruf:
Loss of strong ellipticity through homogenization in 2D linear elasticity: A phase diagram
Arch. Ration. Mech. Anal. (Accepted Paper) 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
(Preprint) 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, M. Novaga, M. Röger:
Quantitative estimates for bending energies and applications to non-local variational problems
Proc. Roy. Soc. Edinburgh Sect. A (Accepted Paper) 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
P. J. Graber, A. R. Mészáros, F. Silva, D. Tonon:
The planning problem in Mean Field Games as regularized mass transport
(Submitted Paper) 2018
D. Grandi, M. Kruzik, E. Mainini, U. Stefanelli:
A phase-field approach to Eulerian interfacial energies
(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
D. Henao, B. Stroffolini:
Orlicz-Sobolev nematic elastomers
(Submitted Paper) 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
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
R. Jones, P. Lahti, N. Shanmugalingam:
Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry
(Submitted Paper) p. 26, 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. Knüpfer, C. Muratov, M. Novaga:
Emergence of non-trivial minimizers for the three-dimensional
Ohta-Kawasaki energy
(Submitted Paper) 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
H. Lavenant, F. Santambrogio:
New estimates on the regularity of the pressure in density-constrained Mean Field Games
(Submitted 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, S. Li, T. Moisala:
Gateaux differentiability on infinite-dimensional Carnot groups
(Submitted Paper) 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
Nonlinear Differ. Equ. 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. Vol. 197, 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
Z. Liu, M. Squassina, J. Zhang:
Modulational stability of ground states to nonlinear Kirchhoff equations
(Submitted 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
I. Lucardesi, M. Morandotti, R. Scala, D. Zucco:
Upscaling of screw dislocations with increasing tangential strain
(Submitted Paper) 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:
A new variational approach to linearization of traction problems in elasticity
(Preprint) p. 1 - 16, 2018
F. Maddalena, D. Percivale, F. Tomarelli:
The gap in Pure Traction Problems between Linear Elasticity and Variational Limit of Finite Elasticity
(Preprint) p. 1-23, 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
F. Maggi, A. Scardicchio, S. Stuvard:
Soap films with gravity and almost-minimal surfaces
(Submitted Paper) 2018
V. Magnani:
Towards a theory of area in homogeneous groups
(Submitted Paper) 2018
V. Magnani, A. Pinamonti, G. Speight:
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups
(Submitted Paper) 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
E. Mainini, M. Monteverde, E. Oudet, D. Percivale:
The minimal resistance problem in a class of non convex bodies
ESAIM: COCV 2018
E. Mainini, P. Piovano, B. Schmidt, U. Stefanelli:
$N^{3/4}$ law in the cubic lattice
(Preprint) 2018
A. Malchiodi, M. Mayer:
Prescribing Morse scalar curvatures: blow-up analysis
(Preprint) p. 52, 2018
A. Malchiodi, M. Mayer:
Prescribing Morse scalar curvatures: subcritical blowing-up solutions
(Preprint) p. 27, 2018
A. Malchiodi, M. Novaga, D. Pagliardini:
On critical points of the relative fractional perimeter
(Submitted Paper) p. 22, 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
C. Mantegazza:
Some Elementary Questions in the Calculus of Variations
(Preprint) 2018
C. Mantegazza, M. Novaga, A. Pluda:
Lectures on Curvature Flow of Networks
to appear on Springer INdAM Series (Lecture Notes) 2018
A. Marchese, A. Massaccesi, S. Stuvard, R. Tione:
A multi-material transport problem with arbitrary marginals
(Preprint) p. 22, 2018
A. Marchese, B. Wirth:
Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass
(Preprint) 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
(Preprint) 2018
D. Mazzoleni, S. Terracini, B. Velichkov:
Regularity of the free boundary for the vectorial Bernoulli problem
(Preprint) 2018
D. Melching, R. Scala, J. Zeman:
Damage model for plastic materials at finite strains
(Preprint) 2018
A. C. G. Mennucci:
Designing metrics; the delta metric for curves
ESAIM: COCV (Accepted Paper) 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
(Preprint) 2018
A. Mondino, S. Suhr:
An optimal transport formulation of the Einstein equations of general relativity
(Preprint) 2018
A. Monteil, F. Santambrogio:
Metric methods for heteroclinic connections in infinite dimensional spaces
Indiana Univ. Math. J. (Accepted Paper) 2018
R. Monti, D. Morbidelli:
John and uniform domains in generalized Siegel boundaries
(Submitted Paper) 2018
D. D. Monticelli, F. Punzo, M. Squassina:
Nonexistence for hyperbolic problems on riemannian manifolds
(Submitted 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
M. Morandotti, P. van Meurs:
Discrete-to-continuum limits of particles with an annihilation rule
(Submitted Paper) 2018
D. Mucci, A. Saracco:
Bounded variation and relaxed curvature of surfaces
(Submitted Paper) 2018
S. Mukherjee:
On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group
(Submitted Paper) 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
(Submitted Paper) 2018
L. Nardini, F. Riva:
Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping
(Submitted Paper) 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:
Logarithmic fractional Sobolev inequalities for the Gaussian measure
(Submitted Paper) 2018
Q. H. Nguyen:
Quantitative estimates for regular Lagrangian flows with $BV$ vector fields
(Preprint) 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. Novaga, D. Pallara, Y. Sire:
A fractional isoperimetric problem in the Wiener space
J. Anal. Math. Vol. 134, N. 2, p. 787-800, 2018
M. Novaga, A. Pluda:
Elastic networks, statics and dynamics
(Submitted Paper) 2018
D. Ntalampekos, M. Romney:
On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
(Submitted Paper) 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. Paolini, V. M. Tortorelli:
The quadruple planar bubble enclosing equal areas is symmetric
(Preprint) 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
M. Pozzetta:
Confined Willmore energy and the Area functional
(Preprint) 2018
M. Pozzetta:
On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves
(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, G. Saracco:
On the isoperimetric problem with double density
Nonlinear Analysis 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
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
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
A. Saracco, G. Saracco:
A discrete districting plan
(Submitted Paper) p. 15, 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:
Motion of discrete interfaces on the triangular lattice
(Submitted Paper) 2018
G. Scilla, F. Solombrino:
A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension
(Submitted Paper) 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
(Submitted Paper) 2018
G. Stefani:
On the monotonicity of perimeter of convex bodies
Journal of Convex Analysis (Accepted Paper) Vol. 25, N. 1, 2018
E. Tasso:
On the continuity of the trace operator in $GSBV(\Omega)$ and $GSBD(\Omega)$
(Submitted Paper) 2018
E. Tasso:
Weak formulation of elastodynamics in domains with growing cracks
(Submitted Paper) 2018
D. Tewodrose:
Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below
(Ph.D. Thesis) 2018
D. Tewodrose:
Weighted Sobolev inequalities in CD(0,N) spaces
(Submitted Paper) 2018
P. Tilli, D. Zucco:
Spectral partitions for Sturm-Liouville problems
Proc. Roy. Soc. Edinburgh Sect. A (Accepted Paper) 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