T. V. ANOOP, K. ASHOK KUMAR:
On reverse Faber-Krahn inequalities
J. Math. Anal. Appl. Vol. 485, N. 1, p. 20, 2020
Adam M Oberman, C. Finlay, A. Gerolin, A. A. Pooladian:
Learning normalizing flows from Entropy-Kantorovich potentials
(preprint) 2020
R. Adami, R. Carlone, M. Correggi, L. Tentarelli:
Blow-up for the pointwise NLS in dimension two: absence of critical power
J. Differential Equations Vol. 269, N. 1, p. 1-37, 2020
T. Adamowicz, A. Kijowski, A. Pinamonti, B. Warhurst:
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Nonlinear Analysis (Accepted Paper) 2020
A. Adve, A. R. Mészáros:
On nonexpansiveness of metric projection operators on Wasserstein spaces
(Submitted Paper) 2020
J. Aghili, D. Di Pietro, B. Ruffini:
An hp-Hybrid High-Order method for variable diffusion on general meshes
Comput. Methods Appl. Math. 2020
A. Akdemir, F. Cavalletti, A. Colinet, R. J. McCann, F. Santarcangelo:
Independence of synthetic Curvature Dimension conditions on transport distance exponent
Trans. Amer. Math. Soc. (Accepted Paper) 2020
T. Alazard, Q. H. Nguyen:
Endpoint Sobolev theory for the Muskat equation
(Submitted Paper) p. 57, 2020
T. Alazard, Q. H. Nguyen:
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data
Com. PDE (Accepted Paper) 2020
R. Alicandro, N. Ansini, A. Braides, A. Piatnitski, A. Tribuzio:
A variational theory of convolution-type functionals
(Preprint) 2020
S. Almaraz, L. L. de Lima, L. Mari:
Spacetime positive mass theorems for initial data sets with noncompact boundary
Int. Math. Res. Notices p. 1-59, 2020
S. Almi, G. Lazzaroni, I. Lucardesi:
Crack growth by vanishing viscosity in planar elasticity
Mathematics in Engineering Vol. 2, N. 1, p. 141-173, 2020
L. Ambrosio, G. Stefani:
Heat and entropy flows in Carnot groups
Rev. Mat. Iberoam. N. 1, p. 257--290, 2020
V. Ambrosio, L. Freddi, R. Musina:
Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded
J. Math. Anal. Appl. Vol. 485, p. 17, 2020
F. Ancona, M. T. Chiri:
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point
ESAIM: COCV Vol. 26, N. 124, p. 33, 2020
N. Ansini, S. Fagioli:
Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation
Comm Math Sci. Vol. 18, N. 2, p. 459-486, 2020
G. Antonelli, D. Di Donato, S. Don:
Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2
Potential Analysis (Accepted Paper) 2020
G. Antonelli, D. Di Donato, S. Don, E. Le Donne:
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups
Annales de l'Institut Fourier (Accepted Paper) 2020
G. Antonelli, E. Le Donne:
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces
Nonlinear Analysis (Accepted Paper) Vol. 200, 2020
G. Antonelli, E. Le Donne:
Polynomial and horizontally polynomial functions on Lie groups
Annali di Matematica Pura ed Applicata (1923 - ) (Accepted Paper) 2020
G. Antonelli, A. Merlo:
Intrinsically Lipschitz functions with normal targets in Carnot groups
Ann. Acad. Sci. Fenn. Math. (Accepted Paper) 2020
G. Antonelli, A. Merlo:
On rectifiable measures in Carnot groups: existence of density
The Journal of Geometric Analysis (Accepted Paper) 2020
W. Ao, A. Jevnikar, W. Yang:
Wave equations associated to Liouville-type problems: global existence in time and blow up criteria
Ann. Mat Pura Appl. (Accepted Paper) 2020
A. Ardentov, G. Bor, E. Le Donne, R. Montgomery, Y. Sachkov:
Bicycle paths, elasticae and sub-Riemannian geometry
(preprint) 2020
A. Arroyo-Rabasa:
Slicing and fine properties of functions with bounded $\mathcal A$-variation
(Preprint) p. 45, 2020
A. Bach, A. Braides, M. Cicalese:
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions
SIAM J. Math. Anal. Vol. 52, p. 3600-2665, 2020
A. Bach, A. Braides, C. I. Zeppieri:
Quantitative analysis of finite-difference approximations of free-discontinuity problems
Interfaces Free Bound. Vol. 22, 2020
A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: topological singularities
Indiana Univ. Mat. J. (Accepted Paper) 2020
A. Bach, L. Sommer:
A $\Gamma$-convergence result for fluid-filled fracture propagation
ESAIM Math. Model. Numer. Anal. Vol. 54, 2020
K. Bal, K. Mohanta, P. Roy:
Bourgain-Brezis-Mironescu domains
Nonlinear Analysis Vol. 199, p. 111928, 2020
M. Barchiesi, V. Julin:
Symmetry of minimizers of a Gaussian isoperimetric problem
Probab. Theory Related Fields Vol. 177, p. 217-256, 2020
M. Bardi, A. Cesaroni, E. Topp:
Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms
Proc. Roy. Soc. Edinburgh Sect. A Vol. 150, N. 6, p. 3028 - 3059, 2020
D. Barilari, I. Beschastnyi, A. Lerario:
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds
Journal of Symplectic Geometry Vol. 18, N. 2, p. 355-384, 2020
D. Barilari, U. Boscain, D. Cannarsa:
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds
(Preprint) p. 24, 2020
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 2020
D. Barilari, L. Rizzi:
Bakry-Émery curvature and model spaces in sub-Riemannian geometry
Mathematische Annalen Vol. 377, p. 435482, 2020
A. C. Barroso, E. Zappale:
An optimal design problem with non-standard growth and no concentration effects
(Preprint) 2020
D. Bartolucci, A. Jevnikar:
On the global bifurcation diagram of the Gel'fand problem
Anal. PDE (Accepted Paper) 2020
D. Bartolucci, A. Malchiodi:
Mean field equations and domains of first kind
(Preprint) 2020
E. Baspinar, L. Calatroni, V. Franceschi, D. Prandi:
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
Journal of Imaging 2020
A. Bayen, J. M. Coron, N. De Nitti, A. Keimer, L. Pflug:
Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model
(Submitted Paper) 2020
F. Belgiorno, G. Catino:
A Weyl Entropy of Pure Spacetime Regions
Class. Quantum Grav. (Accepted Paper) 2020
G. Bellettini, A. Chambolle, S. Kholmatov:
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
(Submitted Paper) 2020
J. Bernstein, F. Maggi:
Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities
(Preprint) 2020
M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, A. Gomez-Villa, D. Prandi:
Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle
Journal of Neurophysiology (Accepted Paper) 2020
M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, D. Prandi:
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling
JMIV 2020
G. Bevilacqua, L. Lussardi, A. Marzocchi:
Dimensional reduction of the Kirchhoff-Plateau problem
J. Elasticity Vol. 140, N. 1, p. 135-148, 2020
G. Bevilacqua, D. Riccobelli:
Surface tension controls the onset of gyrification in brain organoids
J. Mech. Phys. Solids 2020
S. Biagi, A. Pinamonti, E. Vecchi:
Pohozaev-type identities for differential operators driven by homogeneous vector fields
NoDEA (Accepted Paper) 2020
S. Bianchini, S. Daneri:
On the sticky particle solutions to the multi-dimensional pressureless Euler equations
(Submitted Paper) 2020
S. Bianchini, N. De Nitti:
Differentiability in measure of the flow associated with a nearly incompressible BV vector field
(Submitted Paper) 2020
U. Bindini:
Marginals with finite repulsive cost
Canad. J. Math. Vol. 72, N. 2, p. 19, 2020
U. Bindini:
Smoothing operators in multi-marginal Optimal Transport
Math. Phys. Anal. Geom. Vol. 23, N. 2, p. 27, 2020
U. Bindini, L. De Pascale, A. Kausamo:
On Seidl-type maps for multi-marginal optimal transport with Coulomb cost
(Submitted Paper) 2020
A. Bjorn, J. Bjorn, N. Shanmugalingam:
Extension and trace results for doubling metric measure spaces and their hyperbolic fillings
(Submitted Paper) 2020
F. Boarotto, R. Monti, F. Palmurella:
Third order open mapping theorems and applications to the end-point map
Nonlinearity Vol. 33, N. 9, p. 4539-4567, 2020
F. Boarotto, D. Vittone:
A dynamical approach to the Sard problem in Carnot groups
J. Differential Equations Vol. 269, p. 49985033, 2020
M. Bonacini, S. Conti, F. Iurlano:
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models
Arch. Ration. Math. Anal. (Accepted Paper) 2020
M. Bonafini, E. Oudet:
A convex approach to the Gilbert-Steiner problem
Interfaces and Free Boundaries Vol. 22, N. 2, p. 131-155, 2020
M. Bonnivard, E. Bretin, A. Lemenant:
Numerical approximation of the Steiner problem in dimension 2 and 3
Mathematics of computation (Accepted Paper) 2020
W. Borrelli, R. L. Frank:
Sharp decay estimates for critical Dirac equations
Trans. Amer. Math. Soc. 2020
W. Borrelli, A. Maalaoui:
Some properties of Dirac-Einstein bubbles
J. Geom. Anal. 2020
D. Bourne, P. J. J. Kok, S. M. Roper, W. D. T. Spanjer:
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes
Philosophical Magazine Vol. 100, N. 21, p. 2677-2707, 2020
A. Braides, P. Cermelli, S. Dovetta:
$\Gamma$-limit of the cut functional on dense graph sequences
ESAIM: Control, Optimization and Calculus of Variations Vol. 26, 2020
A. Braides, A. Malusa, M. Novaga:
Crystalline evolutions with rapidly oscillating forcing terms
Ann. Scuola Normale Sup.Pisa Vol. XX, N. 1, p. 143-175, 2020
A. Braides, N. A. Nodargi:
Homogenization of cohesive fracture in masonry structures
Math. Mech. Solids Vol. 28, p. 181-200, 2020
A. Braides, M. Solci:
Compactness by coarse-graining in long-range lattice systems
Adv. Nonlin. Studies Vol. 20, p. 783794, 2020
A. Braides, V. Vallocchia:
Two geometric lemmas for $S^{N-1}$-valued maps and an application to the homogenization of spin systems
COCV Vol. 27, p. 13, 2020
L. Brasco, E. Cinti, S. Vita:
A quantitative stability estimate for the fractional Faber-Krahn inequality
J. Funct. Anal. (Accepted Paper) p. 36, 2020
L. Brasco, D. Gómez-Castro, J. L. Vazquez:
Characterisation of homogeneous fractional Sobolev spaces
Calc. Var. Partial Differential Equations (Accepted Paper) p. 31, 2020
K. Brazda, L. Lussardi, U. Stefanelli:
Existence of varifold minimizers for the multiphase Canham-Helfrich functional
Calc. Var. Partial Differential Equations Vol. 59, N. 3, p. 1-26, 2020
K. Bredies, S. Fanzon:
An optimal transport approach for solving dynamic inverse problems in spaces of measures
ESAIM: Mathematical Modelling and Numerical Analysis 2020
L. Briani, G. Buttazzo, F. Prinari:
Some inequalities involving perimeter and torsional rigidity
(Submitted Paper) 2020
L. Briani, G. Buttazzo, F. Prinari:
Some inequalities involving perimeter and torsional rigidity
AMO 2020
E. Bruè:
Structure of non-smooth spaces with Ricci curvature bounded below
(Ph.D. Thesis) 2020
E. Bruè, M. Colombo, C. De Lellis:
Positive solutions of transport equations and classical nonuniqueness of characteristic curves
Arch. Rat. Mech. Anal. (Accepted Paper) 2020
E. Bruè, A. Naber, D. Semola:
Boundary regularity and stability for spaces with Ricci bounded below
Inventiones mathematicae 2020
E. Bruè, Q. H. Nguyen:
Advection diffusion equations with Sobolev velocity field
Communications in Mathematical Physics (Accepted Paper) 2020
E. Bruè, D. Semola:
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Comm. Pure and Applied Math. Vol. 73, p. 1141-1204, 2020
E. Bruè, D. Semola:
Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces
J. Reine Angew. Math. Vol. 765, p. 171203, 2020
C. Bucur, M. Squassina:
An asymptotic expansion for the fractional $p$-Laplacian and gradient dependent nonlocal operators
(Preprint) p. 22, 2020
D. Bucur, I. Fragalà:
Symmetry results for variational energies on convex polygons
(Submitted Paper) 2020
D. Bucur, A. Giacomini, M. Nahon:
Degenerate free discontinuity problems and spectral inequalities in quantitative form
(Submitted Paper) 2020
D. Bucur, M. Nahon:
Stability and instability issues of the Weinstock inequality
(Submitted Paper) 2020
L. Bungert, M. Burger:
Asymptotic Profiles of Nonlinear Homogeneous Evolution Equations of Gradient Flow Type
Journal of Evolution Equations Vol. 20, N. 3, p. 10611092, 2020
G. Buttazzo, F. P. Maiale:
Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains
(Accepted Paper) 2020
G. Buttazzo, F. P. Maiale:
Shape optimization problems for functionals with a boundary integral
(Accepted Paper) 2020
G. Buttazzo, M. van den Berg:
On capacity and torsional rigidity
(Preprint) 2020
R. Buzano, L. Yudowitz:
Gaussian upper bounds for the heat kernel on evolving manifolds
(Submitted Paper) 2020
X. Cabré, M. Cozzi, G. Csato:
A fractional Michael-Simon Sobolev inequality on convex hypersurfaces
(preprint) 2020
X. Cabré, A. Figalli, X. Ros-Oton, J. Serra:
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
Acta Mathematica (Accepted Paper) 2020
L. Caffarelli, F. Cagnetti, A. Figalli:
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive zone models
Arch. Ration. Mech. Anal. (Accepted Paper) 2020
F. Cagnetti, A. Chambolle, L. Scardia:
Korn and Poincaré-Korn inequalities for functions with small jump set
Math. Ann. (Accepted Paper) 2020
G. Canevari, G. Orlandi:
Improved partial regularity for manifold-constrained minimisers of subquadratic energies
Communications in Mathematical Physics (Accepted Paper) Vol. 374, N. 2020, p. 14831495, 2020
G. Canevari, G. Orlandi:
Lifting for manifold-valued maps of bounded variation
Journal of Functional Analysis (Accepted Paper) Vol. 278, N. 10, 2020
G. Canevari, G. Orlandi:
Topological singular set of vector-valued maps, II: $$-convergence
for Ginzburg-Landau type functionals
(preprint) 2020
G. Canevari, A. Zarnescu:
Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
Mathematical Models and Methods in Applied Sciences (Accepted Paper) Vol. 30, N. 2, p. 309-342, 2020
G. Canevari, A. Zarnescu:
Polydispersity and surface energy strength in nematic colloids
Mathematics in Engineering (Accepted Paper) Vol. 2, N. 2, p. 290-312, 2020
M. Caponi:
Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation
NoDEA Nonlinear Differential Equations Appl. (Accepted Paper) 2020
A. Carbotti:
Approximation properties of solutions to fractional equations, Riemann-Liouville fractional Sobolev spaces and a variational problem in Carnot Groups.
(Ph.D. Thesis) p. 138, 2020
F. Cardin, S. Daneri, E. Facca , M. Putti:
Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation
Journ. of Scientific Computing 2020
M. Carioni, A. Marchese, A. Massaccesi, A. Pluda, R. Tione:
The oriented mailing problem and its convex relaxation
Nonlinear Anal. Vol. 199, 2020
M. Carioni, A. Pluda:
Calibrations for minimal networks in a covering space setting
ESAIM Control Optim. Calc. Var. Vol. 26, 2020
M. Caroccia, R. Cristoferi:
On the Gamma convergence of functionals defined over pairs of measures and energy-measures
Journal of Nonlinear Science Vol. 30, N. 4, p. 1723-1769, 2020
M. Caroccia, M. Focardi, N. Van Goethem:
On the integral representation of variational functionals on $BD$
SIAM J. Math. Anal. Vol. 52, N. 4, p. 40224067, 2020
G. Catino, D. Dameno, P. Mastrolia:
On Riemannian four-manifolds and their twistor spaces: a moving frame approach
(Submitted Paper) 2020
G. Catino, F. Gazzola, P. Mastrolia:
A conformal Yamabe problem with potential on the Euclidean space
Ann. Mat. Pura Appl. (Accepted Paper) 2020
G. Catino, A. Roncoroni, L. Vezzoni:
On the umbilic set of immersed surfaces in three-dimensional space forms
Bull. Sci. Math. (Accepted Paper) 2020
F. Cavalletti, S. Farinelli:
Indeterminacy estimates and the size of nodal sets in singular spaces
Advances Math (Accepted Paper) 2020
F. Cavalletti, N. Gigli, F. Santarcangelo:
Displacement convexity of Entropy and the distance cost Optimal Transportation
Annales de la faculté des sciences de Toulouse (Accepted Paper) 2020
F. Cavalletti, A. Mondino:
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
(Preprint) 2020
A. Cesaroni, M. Novaga:
Nonlocal minimal clusters in the plane
Nonlinear Analysis Vol. 199, p. 111945, 2020
A. Cesaroni, M. Novaga:
Second-order asymptotics of the fractional perimeter as $s\to 1$
Mathematics in Engineering Vol. 2, N. 3, p. 512-526, 2020
A. Cesaroni, M. Novaga:
Symmetric self-shrinkers for the fractional mean curvature flow
J. Geometric Anal. Vol. 30, N. 4, p. 36983715, 2020
A. Chambolle, V. Crismale:
Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities
Ann. Sc. Norm. Super. Pisa Cl. Sci. (Accepted Paper) 2020
A. Chambolle, V. Crismale:
Phase-field approximation for a class of cohesive fracture energies with an activation threshold
Adv. Calc. Var. 2020
A. Chambolle, M. Novaga, V. Pagliari:
On the convergence rate of some nonlocal energies
Nonlinear Analysis Vol. 200, p. 112016, 2020
H. Chan, M. M. González, Y. Huang, E. Mainini, B. Volzone:
Uniqueness of entire ground states for the fractional plasma problem
Calc. Var. Partial Differential Equations Vol. 59, N. 195, 2020
D. D. Cherkashin, A. S. Gordeev, G. A. Strukov, Y. Teplitskaya:
On minimizers of the maximal distance functional for a planar convex closed smooth curve
(preprint) 2020
O. Chodosh, Y. Liokumovich, L. Spolaor:
Singular behavior and generic regularity of min-max minimal hypersurfaces
(Preprint) 2020
V. Chousionis, V. Magnani, J. T. Tyson:
On uniform measures in the Heisenberg group
Adv. Math. Vol. 363, N. 106980, p. 42, 2020
M. Cicalese, A. Gloria, M. Ruf:
From statistical polymer physics to nonlinear elasticity
Archive for Rational Mechanics and Analysis Vol. 236, p. 1127-1215, 2020
M. Cicalese, G. Orlando, M. Ruf:
The N-clock model: variational analysis for fast and slow divergence rates of N
Archive for Rational Mechanics and Analysis (Accepted Paper) 2020
S. Cingolani, M. Gallo:
On the fractional NLS equation and the effects of the potential well's
topology
(preprint) 2020
E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra:
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights
(Preprint) 2020
M. Cirant, A. Goffi:
Lipschitz regularity for viscous Hamilton-Jacobi equations with $L^p$ terms
Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 37, N. 4, p. 757-784, 2020
M. Cirant, A. Goffi:
On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations
Archive for Rational Mechanics and Analysis Vol. 240, p. 1521-1534, 2020
G. Ciraolo, R. Corso, A. Roncoroni:
Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions
Journal of Functional Analysis (Accepted Paper) 2020
G. Ciraolo, A. Figalli, A. Roncoroni:
Symmetry results for critical anisotropic $p$-Laplacian equations in
convex cones
Geometric and Functional Analysis (Accepted Paper) 2020
G. Ciraolo, A. Roncoroni:
Serrin's type overdetermined problems in convex cones
Calculus of Variations and Partial Differential Equations (Accepted Paper) 2020
S. Cito, D. A. La Manna:
A Quantitative Reverse Faber-Krahn Inequality for the First Robin Eigenvalue with Negative Boundary Parameter
ESAIM: Control, Optimisation and Calculus of Variations (Accepted Paper) 2020
G. M. Coclite, J. M. Coron, N. De Nitti, A. Keimer, L. Pflug:
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
(Preprint) 2020
G. M. Coclite, N. De Nitti, M. Garavello, F. Marcellini:
Vanishing viscosity for a $2\times 2$ system modeling congested vehicular traffic
(Submitted Paper) 2020
G. M. Coclite, N. De Nitti, A. Keimer:
On a discontinuous nonlocal conservation law modeling material flow on conveyor belts
(Submitted Paper) 2020
G. M. Coclite, N. De Nitti, A. Keimer, L. Pflug:
Singular limits with vanishing viscosity for nonlocal conservation laws
(Submitted Paper) 2020
M. Colombo, C. De Lellis, A. Massaccesi:
The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system
Comm. Pure Appl. Math. Vol. 73, N. 3, p. 609-663, 2020
M. Colturato:
Sliding mode control for a diffuse interface tumor growth model coupling a Cahn-Hilliard equation with a reaction-diffusion equation
Math. Methods Appl. Sci. p. 33, 2020
G. E. Comi:
Refined Gauss-Green formulas and evolution problems for Radon measures
(Ph.D. Thesis) p. 186, 2020
G. E. Comi, V. Magnani:
The Gauss-Green theorem in stratified groups
Adv. Math. Vol. 360, N. 106916, 2020
A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino:
Monotonicity Principle in Tomography of Nonlinear Conducting Materials
(preprint) 2020
F. Corni, V. Magnani:
Area formula for regular submanifolds of low codimension in Heisenberg groups
(Submitted Paper) 2020
G. Crasta, V. De Cicco, A. Malusa:
Pairings between bounded divergence-measure vector fields and BV functions
Adv. Calc. Var. (Accepted Paper) 2020
V. Crismale, M. Friedrich:
Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity
Arch. Rational Mech. Anal. Vol. 237, p. 1041-1098, 2020
V. Crismale, M. Friedrich, F. Solombrino:
Integral representation for energies in linear elasticity with surface discontinuities
Advances in Calculus of Variations 2020
V. Crismale, G. Orlando:
A lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,}$, $>1$
Mathematics in Engineering Vol. 2, N. 1, p. 101-118, 2020
V. Crismale, G. Scilla, F. Solombrino:
A derivation of Griffith functionals from discrete finite-difference models
Calc. Var. Partial Differential Equations Vol. 59, N. 6, p. 193, 2020
R. Cristoferi:
Exact solutions for the denoising problem of piecewise constant images in dimension one
Journal of Applied Analysis (Accepted Paper) 2020
G. Cupini, M. Focardi, F. Leonetti, E. Mascolo:
On the H\"older continuity for a class of vectorial problems
Adv. Nonlinear Anal. Vol. 9, p. 1008-1025, 2020
F. Da Lio, F. Palmurella, T. Rivière:
A Resolution of the Poisson Problem for Elastic Plates
Arch. Rational. Mech. Anal. Vol. 236, p. 1593-1676, 2020
G. Dal Maso, L. De Luca:
A minimization approach to the wave equation on time-dependent domains
Adv. Calc. Var. Vol. 13, N. 4, 2020
G. Dal Maso, R. Toader:
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials
(Submitted Paper) 2020
A. Dall'Acqua, M. Novaga, A. Pluda:
Minimal elastic networks
Indiana Univ. Math. J. Vol. 69, N. 6, p. 1909-1932, 2020
S. Daneri, E. Radici, E. Runa:
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
(Submitted Paper) 2020
S. Daneri, E. Runa:
Pattern formation for a local/nonlocal functional arising in colloidal systems
SIAM Journal Math. Anal. 2020
S. Daneri, E. Runa, L. J. Székelyhidi:
Non-uniqueness for the Euler equations up to Onsager's critical exponent
(Submitted Paper) 2020
C. Dappiaggi, F. Finster, S. Murro, E. Radici:
The fermionic signature operator in de Sitter spacetime
Journal of Mathematical Analysis and Applications 2020
E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri:
Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction
M3AS (Accepted Paper) 2020
E. Davoli, I. Fonseca, P. Liu:
Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme
(Submitted Paper) 2020
E. Davoli, M. Friedrich:
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
Calc. Var. Partial Differential Equations 2020
E. Davoli, M. Kruzik, P. Pelech:
Separately global solutions to rate-independent processes in large-strain inelasticity
Nonlinear Analysis: Theory, Methods and Applications (Accepted Paper) 2020
E. Davoli, M. Kruzik, P. Piovano, U. Stefanelli:
Magnetoelastic thin films at large strains
Continuum Mechanics and Thermodynamics (Accepted Paper) 2020
E. Davoli, P. Piovano:
Derivation of a heteroepitaxial thin-film model
Interfaces and Free Boundaries 2020
E. Davoli, L. Scarpa, L. Trussardi:
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
Archive for Rational Mechanics and Analysis (Accepted Paper) 2020
C. De Lellis:
The Nash-Kuiper Theorem and the Onsager conjecture
ICCM Not. Vol. 8, N. 1, p. 17-26, 2020
C. De Lellis, M. Focardi, S. Ghinassi:
Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan
J. Math. Pures Appl. (Accepted Paper) 2020
C. De Lellis, V. Giri:
Smoothing does not give a selection principle for transport equations with bounded autonomous fields
To appear in Annales Mathe'matiques du Que'bec (Accepted Paper) 2020
C. De Lellis, J. Hirsch, A. Marchese, S. Stuvard:
Regularity of area minimizing currents mod $p$
Geom. Funct. Anal. Vol. 30, N. 5, p. 1224-1336, 2020
C. De Lellis, D. Inauen :
$C^{1,\alpha} isometric embeddings of polar caps
Adv. Math. Vol. 363, 2020
C. De Lellis, H. Kwon:
On Non-uniqueness of Hoelder continuous globally dissipative Euler flows
To appear in Analysis and PDEs (Accepted Paper) 2020
C. De Lellis, M. P. Reza:
The geometry of flat $C^{1,\alpha}$ isometric immersions
(Preprint) 2020
C. De Lellis, E. Spadaro, L. Spolaor:
Regularity theory for $2$-dimensional almost minimal currents III: blowup
J. Differential Geom. Vol. 116, N. 1, p. 125-185, 2020
L. De Luca, M. Ponsiglione:
Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles
Comm. Contemp. Math. Vol. 22, N. 3, 2020
F. De Marchis, A. Malchiodi, L. Martinazzi, P. D. Thizy:
Critical points of the Moser-Trudinger functional on closed surfaces
(Preprint) p. 60, 2020
L. De Masi:
Rectifiability of the free boundary for varifolds
(preprint) 2020
G. De Philippis, A. De Rosa, F. Ghiraldin:
Existence results for minimizers of parametric elliptic functionals
J. Geom. Anal. 2020
G. De Philippis, M. Marini, M. Mazzucchelli, S. Suhr:
Closed geodesics on reversible Finsler 2-spheres
(Preprint) 2020
N. De Ponti, A. Mondino:
Entropy-Transport distances between unbalanced metric measure spaces
Probability Theory and Related Fields (Accepted Paper) 2020
N. De Ponti, A. Mondino:
Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces
The Journal of Geometric Analysis 2020
L. De Rosa , D. Serre, R. Tione:
On the upper semicontinuity of a quasiconcave functional
Journal of Functional Analysis Vol. 279, 2020
L. De Rosa , R. Tione:
On a question of D. Serre
ESAIM: COCV Vol. 26, N. 97, 2020
L. De Rosa , R. Tione:
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations
Analysis & PDE (Accepted Paper) 2020
A. De Rosa, S. Kolasiski:
Equivalence of the ellipticity conditions for geometric variational problems
Comm. Pure App. Math. 2020
A. De Rosa, S. Kolasiski, M. Santilli:
Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets
Arch. Ration. Mech. Anal. 2020
G. Del Nin:
Rectifiability of the jump set of locally integrable functions
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (Accepted Paper) 2020
F. Della Pietra, G. Piscitelli:
An optimal bound for nonlinear eigenvalues and torsional rigidity on
domains with holes
(preprint) 2020
D. Di Donato, K. Fässler:
Extensions and corona decompositions of low-dimensional intrinsic
Lipschitz graphs in Heisenberg groups
(preprint) 2020
G. Di Fratta:
Micromagnetics of curved thin films
Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) (Accepted Paper) 2020
G. Di Fratta, A. Fiorenza:
A short proof of local regularity of distributional solutions of Poisson's equation
Proc. Amer. Math. Soc. Vol. 148, 2020
G. Di Fratta, A. Fiorenza:
BMO-type seminorms from Escher-type tessellations
Journal of Functional Analysis Vol. 279, N. 3, 2020
G. Di Fratta, M. Innerberger, D. Praetorius:
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
Nonlinear Analysis: Real World Applications Vol. 55, 2020
G. Di Fratta, A. Jüngel, D. Praetorius, V. Slastikov:
Spin-diffusion model for micromagnetics in the limit of long times
(preprint) 2020
G. Di Fratta, C. Muratov, F. Rybakov, V. Slastikov:
Variational principles of micromagnetics revisited
SIAM Journal on Mathematical Analysis Vol. 52, N. 4, 2020
G. Di Fratta, J. Robbins, V. Slastikov, A. Zarnescu:
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals
Archive for Rational Mechanics and Analysis Vol. 236, 2020
S. Di Marino, A. Gerolin:
Optimal Transport losses and Sinkhorn algorithm with general convex
regularization
(preprint) 2020
S. Di Marino, N. Gigli, A. Pratelli:
Global Lipschitz extension preserving local constants
Rend. Lincei Mat. Appl. 2020
S. Di Marino, D. Lui, E. Pasqualetto:
A short proof of the infinitesimal Hilbertianity of the weighted
Euclidean space
(Preprint) p. 8, 2020
G. Di Matteo:
Mixed Integral Norms for Ricci Flow
Journal of Geometric Analysis 2020
S. Dipierro, F. Maggi, E. Valdinoci:
Minimizing cones for fractional capillarity problems
(Preprint) 2020
N. Dirr, F. Dragoni, R. Grande:
Asymptotics for optimal controls for horizontal mean curvature flow
(Preprint) 2020
E. Dolera, E. Mainini:
Lipschitz continuity of probability kernels in the optimal transport framework
(Preprint) 2020
E. Dolera, E. Mainini:
On uniform continuity of posterior distributions
Stat. Probab. Lett. Vol. 157, 2020
S. Dovetta, L. Tentarelli:
Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph
Oper. Theory Adv. Appl. Vol. 281, p. 113-125, 2020
S. Dweik:
$W^{1,p}$ regularity on the solution of the BV least gradient problem with Dirichlet condition on a part of the boundary
Nonlinear Analysis (Accepted Paper) 2020
S. Dweik:
Optimal free export/import regions
Canadian Mathematical Bulletin (Accepted Paper) 2020
M. Eleuteri, F. Prinari:
$$-convergence for power-law functionals with variable exponents
Nonlinear Analysis: RealWorld Applications 2020
M. Erbar, C. Rigoni, K. T. Sturm, L. Tamanini:
Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
J. Math. Pures Appl. 2020
S. Eriksson-Bique, G. Giovannardi, R. Korte, N. Shanmugalingam, G. Speight:
Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry
(Preprint) 2020
N. Evseev, A. Menovschikov:
Sobolev space of functions valued in a monotone Banach family
(preprint) 2020
S. Fagioli, E. Radici:
Opinion formation system via deterministic particle approximation
Kinetic and Related Models 2020
F. Farroni:
Asymptotic stability estimates for some evolution problems with singular convection fiels
Ricerche di Matematica 2020
F. Farroni, N. Fusco, S. Guarino Lo Bianco, R. Schiattarella:
A formula for the anisotropic total variation of SBV functions
J. Funct. Anal. 2020
F. Farroni, S. Guarino Lo Bianco, R. Schiattarella:
BMO-Type seminorms generating Sobolev functions
Journal of Mathematical Analysis and Applications 2020
V. Felli, D. Mukherjee, R. Ognibene:
On fractional multi-singular Schrödinger operators: positivity and localization of binding
Journal of Functional Analysis 2020
V. Felli, R. Ognibene:
Sharp convergence rate of eigenvalues in a domain with a shrinking tube
Journal of Differential Equations 2020
X. Fernández-Real, A. Figalli:
On the obstacle problem for the 1D wave equation
Mathematics in Engineering (Accepted Paper) 2020
V. Ferrari, F. Santambrogio:
Lipschitz estimates on the JKO scheme for the Fokker-Planck equation on bounded convex domains
Appl. Math. Lett. (Accepted Paper) 2020
A. Figalli, F. Glaudo:
On the sharp stability of critical points of the Sobolev inequality
Arch. Ration. Mech. Anal. (Accepted Paper) 2020
A. Figalli, X. Ros-Oton, J. Serra:
Generic regularity of free boundaries for the obstacle problem
Publ. Math. Inst. Hautes Études Sci. (Accepted Paper) 2020
A. Figalli, H. Shahgholian, K. Sunghan:
Lipschitz Regularity in Vectorial Linear Transmission Problems
(Submitted Paper) 2020
A. Figalli, Y. R. Y. Zhang:
Strong stability for the Wulff inequality with a crystalline norm
Comm. Pure Appl. Math. (Accepted Paper) 2020
F. Fleißner:
A Minimizing Movement approach to a class of scalar reaction-diffusion equations
ESAIM:COCV 2020
F. Fleißner:
A note on the differentiability of the Hellinger-Kantorovich distances
(Submitted Paper) 2020
G. Floridia:
Nonnegative controllability for a class of nonlinear degenerate
parabolic equations with application to climate science
(preprint) 2020
G. Floridia, Z. Li, M. Yamamoto:
Well-posedness for the backward problems in time for general
time-fractional diffusion equation
(preprint) 2020
G. Floridia, H. Takase:
Inverse problems for first-order hyperbolic equations with
time-dependent coefficients
(preprint) 2020
G. Floridia, H. Takase:
Observability inequalities for degenerate transport equations
(preprint) 2020
G. Floridia, M. Yamamoto:
Backward problems in time for fractional diffusion-wave equation
(preprint) 2020
M. Focardi, E. Spadaro:
How a minimal surface leaves a thin obstacle
Annales de l'Institut Henri Poincaré C, Analyse non linéaire Vol. 37, N. 4, p. 1017-1046, 2020
M. Fogagnolo, A. Pinamonti:
Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group
Mathematics in Engineering (Accepted Paper) 2020
V. Franceschi, R. Monti, A. Righini, M. Sigalotti:
The isoperimetric problem for regular and crystalline norms in $\mathbb H^1$
(Submitted Paper) 2020
V. Franceschi, D. Prandi:
Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group
Journal of Geometric Analysis 2020
V. Franceschi, D. Prandi, L. Rizzi:
On the essential self-adjointness of singular sub-Laplacians
Potential Anal. Vol. 53, p. 89-112, 2020
E. Francini, G. Franzina, S. Vessella:
Existence and Regularity of Eddy Currents System with non-smooth conductivity
SIAM Journ. of Math. Analysis 2020
M. Friedrich, L. Kreutz, B. Schmidt:
Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy
Archive for Rational Mechanics and Analysis (Accepted Paper) p. 58, 2020
M. Friedrich, F. Solombrino:
Functionals defined on piecewise rigid functions: Integral representation and $\Gamma$-convergence
Archive for Rational Mechanics and Analysis Vol. 236, p. 1325--1387, 2020
N. Fusco, V. Julin, M. Morini:
Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane
(Submitted Paper) 2020
N. Fusco, A. Pratelli:
Sharp stability for the Riesz potential
COCV Vol. 26, 2020
K. Fässler, T. Orponen, A. Pinamonti:
Planar incidences and geometric inequalities in the Heisenberg group
(Preprint) 2020
H. Garcke, J. Menzel, A. Pluda:
Long Time Existence of Solutions to an Elastic Flow of Networks
Comm. Partial Differential Equations Vol. 45, N. 10, p. 1253-1305, 2020
A. Garroni, M. A. Peletier, L. Scardia, P. van Meurs:
Convergence and non-convergence of many-particle evolutions with multiple signs
Arch. Rational Mech. Anal. Vol. 235, N. 1, p. 3-49, 2020
N. Gavitone, D. A. La Manna, G. Paoli, L. Trani:
A quantitative Weinstock inequality for convex sets
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Vol. 59, N. 2, 2020
A. Gerolin, P. Gori-Giorgi, J. Grossi:
Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem
J. Chem. Theory Comput. Vol. 16, N. 1, p. 488498, 2020
A. Gerolin, Hà Quang Minh, A. Mallasto:
Entropy-Regularized $2$-Wasserstein Distance between Gaussian Measures
(preprint) 2020
A. Gerolin, A. Kausamo, T. Rajala:
Multi-marginal Entropy-Transport with repulsive cost
Calculus of Variations and Partial Differential Equations Vol. 59, N. 90, 2020
N. Ghoussoub, Y. H. Kim, H. Lavenant, A. Z. Palmer:
Hidden convexity in a problem of nonlinear elasticity
SIAM Journal on Mathematical Analysis (Accepted Paper) 2020
N. Gigli, C. Rigoni:
Partial derivatives in the nonsmooth setting
(Submitted Paper) 2020
N. Gigli, A. Tyulenev:
Korevaar-Schoen's energy on strongly rectifiable spaces
(Preprint) 2020
P. Gladbach, E. Kopfer, J. Maas, L. Portinale:
Homogenisation of one-dimensional discrete optimal transport
Journal des Mathématiques Pures et Appliquées 2020
A. Goffi:
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group
Nonlinear Analysis Vol. 200, 2020
A. Goffi, F. Pediconi:
A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds
The Journal of Geometric Analysis Vol. 31, N. 8, p. 8641-8665, 2020
M. Goldman:
An $\varepsilon-$regularity result for optimal transport maps between continuous densities
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (Accepted Paper) 2020
M. Goldman, B. Merlet:
Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates
Annali della SNS (Accepted Paper) 2020
M. Goldman, M. Novaga, M. Röger:
Quantitative estimates for bending energies and applications to non-local variational problems
Proc. Roy. Soc. Edinburgh Sect. A Vol. 150, N. 1, p. 131-169, 2020
M. Goldman, D. Trevisan:
Convergence of asymptotic costs for random Euclidean matching problems
Probability and Mathematical Physics (Accepted Paper) 2020
D. Golovaty, Y. K. Kim, O. Lavrentovich, M. Novack, P. Sternberg:
Phase transitions in nematics: textures with tactoids and disclinations
Mathematical Modelling of Natural Phenomena 2020
D. Golovaty, M. Novack, P. Sternberg:
A novel Landau-de Gennes model with quartic elastic terms
European Journal of Applied Mathematics 2020
D. Golovaty, M. Novack, P. Sternberg, R. Venkatraman:
A model problem for nematic-isotropic phase transitions with highly disparate elastic constants
Archive for Rational Mechanics and Analysis 2020
D. Grandi, M. Kruzik, E. Mainini, U. Stefanelli:
Equilibrium for multiphase solids with Eulerian interfaces
J. Elast. Vol. 142, p. 409-431, 2020
S. Guarino Lo Bianco, D. A. La Manna, B. Velichkov:
A two-phase problem with Robin conditions on the free boundary
Journal de l'École polytechnique - Mathématiques (Accepted Paper) 2020
F. Générau, E. Oudet, B. Velichkov:
Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality
(Preprint) 2020
F. Générau, E. Oudet, B. Velichkov:
Numerical computation of the cut locus via a variational approximation of the distance function
(Preprint) 2020
E. Hakavuori:
Infinite geodesics and isometric embeddings in Carnot groups of step 2
SIAM Journal on Control and Optimization Vol. 58, N. 1, p. 447-461, 2020
E. Hakavuori, V. Kivioja, T. Moisala, F. Tripaldi:
Gradings for nilpotent Lie algebras
(preprint) 2020
B. Han:
Rigidity of some functional inequalities on ${\rm RCD}$ spaces
(Preprint) 2020
G. He, P. Zhao:
The isoperimetric problemin the Heisenberg group $H^n$ with density
Analysis and Mathematical Physics p. 23, 2020
A. Henrot, I. Lucardesi:
A Blaschke-Lebesgue theorem for the Cheeger constant
(Preprint) 2020
F. Hernandez, D. Spector:
Fractional Integration and Optimal Estimates for Elliptic Systems
(preprint) 2020
J. Hirsch, R. Tione:
On the constancy theorem for anisotropic energies through differential inclusions
Calc. Var. Partial Differential Equations 2020
K. Huynh, F. Santambrogio:
q-Moment Measures and Applications: a new Approach via Optimal Transport
J. Conv. An. (Accepted Paper) 2020
T. Ikonen, E. Pasqualetto, E. Soultanis:
Abstract and concrete tangent modules on Lipschitz differentiability spaces
(Preprint) p. 14, 2020
A. Jevnikar, A. Malchiodi, R. Wu:
Existence results for a super-Liouville equation on compact surfaces
Trans. Amer. Math. Soc. (Accepted Paper) 2020
A. Jevnikar, A. Malchiodi, R. Wu:
Existence results for super-Liouville equations on the sphere via bifurcation theory
J. Math. Study (Accepted Paper) 2020
A. Jevnikar, J. Wang, W. Yang:
Liouville type theorems and periodic solutions for $\chi^{(2)}$ type systems with non-homogeneous nonlinearities
(Preprint) 2020
C. Jimenez, A. Marigonda, M. Quincampoix:
Optimal control of multiagent systems in the Wasserstein space
Caclulus of Variations and PDE (Accepted Paper) 2020
A. Julia, S. Nicolussi Golo:
Intrinsic rectifiability via flat cones in the Heisenberg group
(Preprint) 2020
V. Julin, D. A. La Manna:
Short time existence of the classical solution to the fractional mean curvature flow
Annales de l'Institut Henri Poincaré (Accepted Paper) 2020
S. Kholmatov, P. Piovano:
A unified model for stress-driven rearrangement instabilities
Arch. Ration. Mech. Anal. (Accepted Paper) 2020
S. Kholmatov, P. Piovano:
Existence of minimizers for the SDRI model
(Submitted Paper) 2020
H. Knüpfer, C. Muratov, M. Novaga:
Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy
Pure and Applied Analysis Vol. 2, N. 1, p. 1-21, 2020
H. Kovarik, Y. Pinchover:
On minimal decay at infinity of Hardy-weights
Comm. Cont. Mathematics Vol. 22, 2020
C. Kreisbeck, E. Zappale:
Lower semicontinuity and relaxation of nonlocal $L^\infty$-functionals
Calc. Var. Vol. 59, N. 138, 2020
L. Kreutz, P. Piovano:
Microscopic validation of a variational model of epitaxially strained crystalline films
SIAM J. Math. Anal. (Accepted Paper) 2020
A. Kubin, M. Ponsiglione:
Attractive Riesz potentials acting on hard spheres
(Preprint) 2020
D. A. La Manna, C. Leone, R. Schiattarella:
On the regularity of very weak solutions for linear elliptic equations in divergence form
Nonlinear Differential Equations and Applications (Accepted Paper) 2020
L. Lamberti:
A regularity result for minimal configurations of a free interface problem
(Preprint) p. 15, 2020
M. Latorre, F. Oliva, F. Petitta, S. Segura de León:
The Dirichlet problem for the $1$-Laplacian with a general singular term and $L^1$-data
Nonlinearity (Accepted Paper) 2020
E. Le Donne, T. Moisala:
Semigenerated step-3 Carnot algebras and applications to sub-Riemannian perimeter
(preprint) 2020
E. Le Donne, D. Morbidelli, S. Rigot:
Horizontally affine maps on step-two Carnot groups
(preprint) 2020
E. Le Donne, F. Tripaldi:
A Cornucopia of Carnot groups in Low Dimensions
(preprint) 2020
G. M. Leccese, V. Magnani:
A study of measure-theoretic area formulas
(Submitted Paper) 2020
H. Leclerc, Q. Mérigot, F. Santambrogio, F. Stra:
Lagrangian discretization of crowd motion and linear diffusion
SIAM J. Num. An. (Accepted Paper) 2020
G. P. Leonardi, G. Saracco:
Minimizers of the prescribed curvature functional in a Jordan domain with no necks
ESAIM Control Optim. Calc. Var. Vol. 26, p. 76, 2020
P. Lewintan:
On $\alpha$-minimizing hypercones
Rend. Sem. Mat. Univ. Padova Vol. 143, p. 227-246, 2020
J. Lindquist, N. Shanmugalingam:
Traces and extensions of certain weighted Sobolev spaces on $\mathbb{R}^n$ and Besov functions on Ahlfors regular compact subsets of $\mathbb{R}^n$
(Submitted Paper) 2020
Q. Liu, N. Shanmugalingam, X. Zhou:
Equivalence of solutions of eikonal equation in metric spaces
(Preprint) 2020
C. Llosa Isenrich, G. Pallier, R. Tessera:
Cone-equivalent nilpotent groups with different Dehn functions
(preprint) 2020
I. Lucardesi, M. Morandotti, R. Scala, D. Zucco:
Upscaling of screw dislocations with increasing tangential strain
Rend. Lincei Mat. Appl. Vol. 31, p. 419-443, 2020
A. Lunardi, G. Metafune, D. Pallara:
The Ornstein-Uhlenbeck semigroup in finite dimension
Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. Vol. 378, p. 217-231, 2020
A. Lunardi, D. Pallara:
Ornstein-Uhlenbeck semigroups in infinite dimension
Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. Vol. 378, p. 620-638, 2020
L. Lussardi:
The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies
Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization (Proceedings) Vol. 21, p. 170-180, 2020
D. Lui, E. Pasqualetto, T. Rajala:
Characterisation of upper gradients on the weighted Euclidean space and
applications
(preprint) 2020
D. Lui, T. Rajala, J. Takanen:
Dimension estimates for the boundary of planar Sobolev extension domains
(preprint) 2020
F. Maddalena, E. Mainini, D. Percivale:
Euler's optimal profile problem
Calc. Var. Partial Differential Equations Vol. 59, N. 56, 2020
F. Maggi, E. Valdinoci:
Ars Inveniendi Analytica
(Announcement) 2020
V. Magnani, D. Tiberio:
A remark on vanishing geodesic distances in infinite dimensions
Proc. Amer. Math. Soc. Vol. 148, N. 8, p. 3653-3656, 2020
E. Mainini, D. Percivale:
Linearization of elasticity models for incompressible materials
(Preprint) 2020
E. Mainini, D. Percivale:
Variational linearization of pure traction problems in incompressible elasticity
Z. Angew. Math. Phys. Vol. 71, 2020
E. Mainini, B. Schmidt:
Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in $\mathbb Z^d$: a sharp scaling law
Comm. Math. Phys. Vol. 380, p. 947971, 2020
A. Maione:
Variational convergences for functionals and differential operators depending on vector fields
(Ph.D. Thesis) p. 149, 2020
A. Maione, A. Pinamonti, F. Serra Cassano:
$\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness.
J. Math. Pures Appl. Vol. 139, p. 109-142, 2020
A. Maione, E. Vecchi:
Integral representation of local left--invariant functionals in Carnot groups
Analysis and Geometry in Metric Spaces Vol. 8, N. 1, p. 1-14, 2020
A. Malchiodi, M. Rupflin, B. Sharp:
ojasiewicz inequalities near simple bubble trees
(preprint) 2020
E. Marconi:
Rectifiability of entropy defect measures in a micromagnetics model
Advances in Calc. Var. (Accepted Paper) 2020
E. Marconi:
The rectifiability of the entropy defect measure for Burgers equation
Journal of Functional Analysis (Accepted Paper) 2020
L. Mari, L. F. Pessoa:
Duality between Ahlfors-Liouville and Khas'minskii properties for non-linear equations
Comm. Anal. Geom. N. 2, p. 395-497, 2020
P. M. Mariano, D. Mucci:
Cracking brittle thin films
(Submitted Paper) 2020
Á. D. Martínez, D. Spector:
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
(preprint) 2020
R. Marziani:
Phd Thesis: Asymptotic analysis of nonlinear models for line defects in materials
(Phd Thesis) 2020
J. Matias, M. Morandotti, D. R. Owen, E. Zappale:
Upscaling and spatial localization of non-local energies with applications to crystal plasticity
Mathematics and Mechanics of Solids (Accepted Paper) p. 30, 2020
D. Mazzoleni, B. Ruffini:
A spectral shape optimization problem with a nonlocal competing term
Calc. Var. PDE 2020
D. Mazzoleni, B. Trey, B. Velichkov:
Regularity of the optimal sets for the second Dirichlet eigenvalue
(Preprint) 2020
A. Merlo:
Geometry of 1-codimensional measures in Heisenberg groups
(Phd Thesis) 2020
A. Merlo:
Marstrand-Mattila rectifiability criterion for $1$-codimensional measures in Carnot Groups
Analysis & PDE (Accepted Paper) 2020
T. Mietton, L. Rizzi:
Branching geodesics in sub-Riemannian geometry
Geom. Funct. Anal. 2020
A. Minne, D. Tewodrose:
Asymptotic Mean Value Laplacian in Metric Measure Spaces
Journal of Mathematical Analysis and Applications Vol. 491, 2020
A. Mondino, C. Scharrer:
A strict inequality for the minimisation of the Willmore functional under isoperimetric constraint
Advances in Calculus of Variations (Accepted Paper) 2020
A. Mondino, C. Scharrer:
Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy
Archive for Rational Mechanics and Analysis 2020
A. Mondino, M. Vedovato:
A Talenti-type comparison theorem for $\mathrm{RCD}(K,N)$ spaces and applications
Calc. Var. PDE (Accepted Paper) 2020
L. Monsaingeon, L. Tamanini, D. Vorotnikov:
The dynamical Schrödinger problem in abstract metric spaces
(preprint) 2020
M. G. Mora, A. Scagliotti:
Equilibrium measure for a nonlocal dislocation energy with physical confinement
(Submitted Paper) 2020
M. Morandotti, F. Solombrino:
Mean-field analysis of multi-population dynamics with label switching
SIAM J. Math. Anal. Vol. 52, N. 2, p. 14271462, 2020
M. Morini, M. Ponsiglione, E. Spadaro:
Long time behaviour of discrete volume preserving mean curvature flows
(Preprint) 2020
D. Mucci, L. Nicolodi:
On the Ginzburg-Landau free energy density of superfluid phases A and B of Helium 3
(Submitted Paper) 2020
D. Mucci, A. Saracco:
Bounded variation and relaxed curvature of surfaces
Milan Journal of Mathematics 2020
D. Mucci, A. Saracco:
The total intrinsic curvature of curves in Riemannian surfaces & Erratum
Rend. Circ. Mat. Palermo, II Ser. 2020
D. Mucci, A. Saracco:
The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion
Annali di Matematica Pura ed Applicata 2020
E. Mukoseeva:
Second variation techniques for stability in geometric inequalities
(Ph.D. Thesis) 2020
E. Mukoseeva:
The sharp quantitative isocapacitary inequality (the case of $p$-capacity)
(Submitted Paper) 2020
L. Nardini, F. Riva:
Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping
Journal of Evolution Equations Vol. 21, N. 1, p. 63-106, 2020
M. Negri, R. Scala:
Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model
(Preprint) 2020
L. Nenna, B. Pass:
Variational problems involving unequal dimensional optimal transport
Journal de Mathématiques Pures et Appliquées (Accepted Paper) 2020
H. M. Nguyen, Q. H. Nguyen:
The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions
(Submitted Paper) p. 26, 2020
H. T. Nguyen, S. Wang:
Brakke Regularity for the Allen-Cahn Flow
(preprint) 2020
H. T. Nguyen, S. Wang:
Second order estimates for transition layers and a curvature estimate
for the parabolic Allen-Cahn
(preprint) 2020
M. Novaga, A. Pluda:
Elastic networks, statics and dynamics
Advanced Studies in Pure Mathematics Vol. 85, p. 325-336, 2020
M. Novaga, M. Pozzetta:
Connected surfaces with boundary minimizing the Willmore energy
Mathematics in Engineering Vol. 2, N. 3, p. 527-556, 2020
M. Novaga, P. Pozzi:
A second order gradient flow of $p$-elastic planar networks
SIAM J. Math. Anal. Vol. 52, N. 1, p. 682-708, 2020
G. Pallier:
Sublinear quasiconformality and the large-scale geometry of Heintze groups
Conformal Geometry and Dynamics Vol. 24, p. 131-163, 2020
G. Paoli, G. Piscitelli, R. Sannipoli:
A stability result for the Steklov Laplacian Eigenvalue Problem with a
spherical obstacle
(preprint) 2020
E. Paolini, V. M. Tortorelli:
The quadruple planar bubble enclosing equal areas is symmetric
Calc. Var. Vol. 59, N. 1, 2020
F. Paronetto:
Further existence results for elliptic-parabolic and forward-backward parabolic equations
Calc. Var. Partial Differential Equations 2020
E. Pasqualetto:
Testing the Sobolev property with a single test plan
Studia Mathematica (Accepted Paper) p. 23, 2020
B. Pass, A. Pinamonti, M. Vedovato:
Multi-marginal optimal transport on the Heisenberg group
Methods and Applications of Analysis (Accepted Paper) 2020
M. Pegon:
Large mass minimizers for isoperimetric problems with integrable nonlocal potentials
(preprint) p. 41, 2020
M. A. Peletier, R. Rossi, G. Savaré, O. Tse:
Jump processes as Generalized Gradient Flows
(Submitted Paper) 2020
X. Pellet, L. Scardia, C. I. Zeppieri:
Stochastic homogenisation of free-discontinuity functionals in random perforated domains
(Preprint) 2020
S. Piontek, T. Schmidt:
Higher integrability for the gradient of Mumford-Shah almost-minimizers
ESAIM, Control Optim. Calc. Var. Vol. 20, 2020
G. Pisano, G. Royer Carfagni:
A statistical theory of the strength of epidemics. The Italian Covid-19 case
(Preprint) 2020
G. Piscitelli:
A nonlocal anisotropic eigenvalue problem
(preprint) 2020
G. Piscitelli:
Convex Symmetrization for Anisotropic Elliptic Equations with a lower
order term
(preprint) 2020
G. Piscitelli, A. Tamburrino, Z. Zhou:
The Monotonicity Principle for Magnetic Induction Tomography
(preprint) 2020
M. Pozzetta:
A varifold perspective on the $p$-elastic energy of planar sets
Journal of Convex Analysis Vol. 27, N. 3, p. 845-879, 2020
M. Pozzetta:
Confined Willmore energy and the Area functional
Comm. Anal. Geom. (Accepted Paper) 2020
M. Pozzetta:
Willmore-type Energies of Curves and Surfaces
(Ph.D. Thesis) 2020
A. Pratelli, G. Saracco:
The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets
Adv. Nonlinear Stud. Vol. 20, N. 3, p. 539--555, 2020
F. Prinari, E. Zappale:
A Relaxation Result in the Vectorial Setting and Power Law Approximation for Supremal Functionals
Jota 2020
N. Puchkin, V. Spokoiny, E. Stepanov, D. Trevisan:
Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances
(Preprint) 2020
R. Resende :
On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry
(Submitted Paper) p. 22, 2020
C. Rigoni, E. Stepanov, D. Trevisan:
Lie brackets of nonsmooth vector fields and commutation of their flows
J. London Math. Soc. 2020
F. Riva:
On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity
Journal of Nonlinear Science Vol. 30, N. 3, p. 903-951, 2020
F. Riva:
On the quasistatic limit of some dynamical problems with dissipative terms
(Ph.D. Thesis) 2020
F. Santambrogio:
Lecture notes on Variational Mean Field Games
(Accepted Paper) 2020
F. Santambrogio, A. Xepapadeas, A. Yannacopoulos:
Rational expectations equilibria in a Ramsey model of optimal growth with non-local spatial externalities
J. Math. Pures Appl. (Accepted Paper) 2020
M. Santilli:
Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature
(Submitted Paper) 2020
R. Scala, U. Stefanelli:
Linearization for finite plasticity under dislocation-density tensor regularization
Continuum Mechanics and Thermodynamics (Accepted Paper) 2020
V. Scattaglia:
A formula for the minimal perimeter of clusters with density
(Preprint) 2020
G. Scilla:
Motion of discrete interfaces on the triangular lattice
Milan J. Math. (Accepted Paper) 2020
G. Scilla, B. Stroffolini:
Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Vol. 31, N. 2, p. 349-389, 2020
D. Semola:
Recent developments about Geometric Analysis on $RCD(K,N)$ spaces
(Ph.D. Thesis) 2020
F. Serra Cassano, M. Vedovato:
The Bernstein problem in Heisenberg groups
Le Matematiche Vol. 75, N. 1, p. 377-403, 2020
H. Shrivastava:
A NON-ISOTROPIC FREE TRANSMISSION PROBLEM GOVERNED BY QUASI-LINEAR OPERATORS
AMPA 2020
N. Soave, S. Terracini:
An anisotropic monotoncity formula, with applications to some segregation problems
(Submitted Paper) 2020
D. Spector, S. J. Spector:
BMO and Elasticity: Korn's Inequality; Local Uniqueness in Tension
(Preprint) 2020
D. Spector, S. J. Spector:
Taylor's Theorem for Functionals on BMO with Application to BMO Local Minimizers
(preprint) 2020
D. Spector, C. B. Stockdale:
On the dimensional weak-type $(1,1)$ bound for Riesz transforms
(Preprint) 2020
G. Stefani:
A Distributional Approach to Fractional Sobolev Spaces and Fractional Variation
(Ph.D. Thesis) p. 158, 2020
G. Stefani:
Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups
J. Geom. Anal. (Accepted Paper) 2020
E. Stepanov, D. Trevisan:
Towards geometric integration of rough differential forms
J. Geom. Anal. 2020
S. Stuvard, Y. Tonegawa:
Dynamical instability of minimal surfaces at flat singular points
(Submitted Paper) 2020
L. Tamanini:
A generalization of Costa's Entropy Power Inequality
IEEE Transactions on Information Theory 2020
D. Tewodrose:
A survey on spectral embeddings and their applications in data analysis
Actes de Théorie Spectrale et Géométrie de Grenoble (Proceedings) 2020
R. Tione:
Minimal graphs and differential inclusions
Comm. Partial Differential Equations 2020
F. Tripaldi:
The Rumin complex on nilpotent Lie groups
(preprint) 2020
A. Tyulenev, S. Vodop'yanov:
Sobolev $W^{1}_{p}$-spaces on $d$-thick closed subsets of $\mathbb{R}^{n}$
Sbornik:Mathematics Vol. 211, N. 6, p. 786-837, 2020
Q. Xia, S. Xu:
Ramified optimal transportation with payoff on the boundary
(Submitted Paper) 2020