Dipartimento di Matematica
Guido Castelnuovo

arxiv-id: 2403.03901v1 [Abstract, pdf]
A notion of $s$-fractional mass for $1$-currents in higher codimension
Marco Cicalese, Tim Heilmann, Andrea Kubin, Fumihiko Onoue, Marcello Ponsiglione
Published: 2024-03-06

arxiv-id: 2303.11764v1 [Abstract, pdf]
Variational worn stones
Graziano Crasta, Ilaria Fragalà
Published: 2023-03-21

arxiv-id: 2208.10812v3 [Abstract, pdf]
Representation formulas for pairings between divergence-measure fields and $BV$ functions
Giovanni E. Comi, Graziano Crasta, Virginia De Cicco, Annalisa Malusa
Published: 2022-08-23

arxiv-id: 2207.06469v1 [Abstract, pdf]
On the variational nature of the Anzellotti pairing
Graziano Crasta, Virginia De Cicco
Published: 2022-07-13

arxiv-id: 2207.04741v1 [Abstract, pdf]
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
Published: 2022-07-11

arxiv-id: 2204.11521v1 [Abstract, pdf]
On a geometric combination of functions related to Prékopa-Leindler inequality
Graziano Crasta, Ilaria Fragalà
Published: 2022-04-25

arxiv-id: 2112.13936v1 [Abstract, pdf]
The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions
Vesa Julin, Massimiliano Morini, Marcello Ponsiglione, Emanuele Spadaro
Published: 2021-12-27

arxiv-id: 2102.13041v1 [Abstract, pdf]
Convergence of supercritical fractional flows to the mean curvature flow
Lucia De Luca, Andrea Kubin, Marcello Ponsiglione
Published: 2021-02-25

arxiv-id: 2101.03307v1 [Abstract, pdf]
Anisotropic perimeter and isoperimetric quotient of inner parallel bodies
Graziano Crasta
Published: 2021-01-09

arxiv-id: 2008.03605v1 [Abstract, pdf]
Vectorial crystallization problems and collective behavior
Lucia De Luca, Angelo Ninno, Marcello Ponsiglione
Published: 2020-08-08

arxiv-id: 2006.07192v1 [Abstract, pdf]
Concavity properties of solutions to Robin problems
Graziano Crasta, Ilaria Fragalà
Published: 2020-06-12

arxiv-id: 2004.04799v1 [Abstract, pdf]
Long time behaviour of discrete volume preserving mean curvature flows
Massimiliano Morini, Marcello Ponsiglione, Emanuele Spadaro
Published: 2020-04-09

arxiv-id: 1906.06303v1 [Abstract, pdf]
The $0$-fractional perimeter between fractional perimeters and Riesz potentials
Lucia De Luca, Matteo Novaga, Marcello Ponsiglione
Published: 2019-06-14

arxiv-id: 1904.10371v1 [Abstract, pdf]
Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers
Graziano Crasta, Annalisa Malusa
Published: 2019-04-23
Journal Reference: Symmetry 2019 11(5), 688

arxiv-id: 1903.06644v2 [Abstract, pdf]
The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators
Graziano Crasta, Ilaria Fragalà
Published: 2019-03-15
Journal Reference: Adv. Math. 359 (2020), 106855

arxiv-id: 1902.06052v2 [Abstract, pdf]
Pairings between bounded divergence-measure vector fields and BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
Published: 2019-02-16

arxiv-id: 1811.12810v1 [Abstract, pdf]
On the supremal version of the Alt-Caffarelli minimization problem
Graziano Crasta, Ilaria Fragalà
Published: 2018-11-30

arxiv-id: 1811.10024v1 [Abstract, pdf]
On the first eigenvalue of the normalized p-Laplacian
Graziano Crasta, Ilaria Fragalà, Bernd Kawohl
Published: 2018-11-25

arxiv-id: 1804.08573v2 [Abstract, pdf]
Bernoulli free boundary problem for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
Published: 2018-04-23

arxiv-id: 1804.06249v2 [Abstract, pdf]
An extension of the pairing theory between divergence-measure fields and BV functions
Graziano Crasta, Virginia De Cicco
Published: 2018-04-15
Journal Reference: J. Funct. Anal. 276 (2019), pp. 2605-2635

arxiv-id: 1802.04194v1 [Abstract, pdf]
On large deviations of interface motions for statistical mechanics models
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2018-02-12
Journal Reference: Ann. Henri Poincar\'e 20 (2019), pp. 1785-1821

arxiv-id: 1710.06775v2 [Abstract, pdf]
Crystalline Evolutions in Chessboard-like Microstructures
Annalisa Malusa, Matteo Novaga
Published: 2017-10-16

arxiv-id: 1708.00792v2 [Abstract, pdf]
Anzellotti's pairing theory and the Gauss--Green theorem
Graziano Crasta, Virginia De Cicco
Published: 2017-08-02
Journal Reference: Adv. Math. 343 (2019), pp. 935-970

arxiv-id: 1707.03342v1 [Abstract, pdf]
Crystalline evolutions with rapidly oscillating forcing terms
Andrea Braides, Annalisa Malusa, Matteo Novaga
Published: 2017-07-11

arxiv-id: 1702.01043v2 [Abstract, pdf]
Rigidity results for variational infinity ground states
Graziano Crasta, Ilaria Fragalà
Published: 2017-02-03
Journal Reference: Indiana Univ. Math. J. 68 (2019), pp. 353-367

arxiv-id: 1612.09557v1 [Abstract, pdf]
The Localization Dichotomy for gapped periodic quantum systems
D. Monaco, G. Panati, A. Pisante, S. Teufel
Published: 2016-12-30

arxiv-id: 1612.09552v1 [Abstract, pdf]
Optimal decay of Wannier functions in Chern and Quantum Hall insulators
D. Monaco, G. Panati, A. Pisante, S. Teufel
Published: 2016-12-30
Journal Reference: Commun. Math. Phys. 359, 61-100 (2018)

arxiv-id: 1605.09005v1 [Abstract, pdf]
On the chain rule formulas for divergences and applications to conservation laws
Graziano Crasta, Virginia De Cicco
Published: 2016-05-29
Journal Reference: Nonlinear Analysis: Theory, Methods & Applications 153 (2017), Pages 275-293

arxiv-id: 1604.02064v2 [Abstract, pdf]
Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2016-04-07
Journal Reference: Arch. Ration. Mech. Anal. Vol. 224 (2017), pp. 659-707

arxiv-id: 1512.08736v2 [Abstract, pdf]
Stochastic Allen-Cahn equation with mobility
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2015-12-29
Journal Reference: Nonlinear Differ. Equ. Appl. 24: 54 (2017)

arxiv-id: 1512.02839v1 [Abstract, pdf]
A nonautonomous chain rule in $W^{1,p}$ and $BV$
Luigi Ambrosio, Graziano Crasta, Virginia De Cicco, Guido De Philippis
Published: 2015-12-09
Journal Reference: Manuscripta Math. 140 (2013), pp. 461-480

arxiv-id: 1509.08273v2 [Abstract, pdf]
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
Graziano Crasta, Virginia De Cicco, Guido De Philippis, Francesco Ghiraldin
Published: 2015-09-28
Journal Reference: Arch. Ration. Mech. Anal. 221 (2016), pp. 961-985

arxiv-id: 1509.01681v1 [Abstract, pdf]
Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
Published: 2015-09-05
Journal Reference: Nonlinear Anal. 133 (2016), pp. 228-249

arxiv-id: 1506.05305v1 [Abstract, pdf]
A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian
Graziano Crasta, Ilaria Fragalà
Published: 2015-06-17
Journal Reference: Proc. Amer. Math. Soc. 144 (2016), pp. 2547-2558

arxiv-id: 1410.6115v2 [Abstract, pdf]
On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results
Graziano Crasta, Ilaria Fragala'
Published: 2014-10-22
Journal Reference: Arch. Ration. Mech. Anal. 218 (2015), pp. 1577-1607

arxiv-id: 1404.5837v2 [Abstract, pdf]
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
Graziano Crasta, Virginia De Cicco, Guido De Philippis
Published: 2014-04-23
Journal Reference: Comm. Partial Differential Equations 40 (2015), pp. 694-726

arxiv-id: 1402.0451v1 [Abstract, pdf]
Cancer-driven dynamics of immune cells in a microfluidic environment
Elena Agliari, Elena Biselli, Adele De Ninno, Giovanna Schiavoni, Lucia Gabriele, Anna Gerardino, Fabrizio Mattei, Adriano Barra, Luca Businaro
Published: 2014-02-03
Journal Reference: Nature Scientific Reports 4, 6639 (2014)

arxiv-id: 1306.2800v1 [Abstract, pdf]
A symmetry problem for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
Published: 2013-06-12
Journal Reference: Int. Math. Res. Not. IMRN 2015 (2015), pp. 8411-8436

arxiv-id: 1305.2810v1 [Abstract, pdf]
On the characterization of some classes of proximally smooth sets
Graziano Crasta, Ilaria Fragalà
Published: 2013-05-13
Journal Reference: ESAIM Control Optim. Calc. Var. 22 (2016), pp. 710-727

arxiv-id: 1210.7103v1 [Abstract, pdf]
Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory
Graziano Crasta, Annalisa Malusa
Published: 2012-10-26
Journal Reference: J. Differential Equations 259 (2015), pp. 3656-3682

arxiv-id: 1207.6344v1 [Abstract, pdf]
A new symmetry criterion based on the distance function and applications to PDE's
Graziano Crasta, Ilaria Fragalà
Published: 2012-07-26
Journal Reference: J. Differential Equations 255 (2013), pp. 2082-2099

arxiv-id: 1103.0111v1 [Abstract, pdf]
A nonhomogeneous boundary value problem in mass transfer theory
Graziano Crasta, Annalisa Malusa
Published: 2011-03-01
Journal Reference: Calc. Var. Partial Differential Equations 44 (2012), pp. 61-80

arxiv-id: 1101.0475v1 [Abstract, pdf]
Boundary effects in the gradient theory of phase transitions
L. Bertini, P. Buttà, A. Garroni
Published: 2011-01-03
Journal Reference: SIAM J. Math. Anal. 44 (2012), 926-945

arxiv-id: 1011.0910v1 [Abstract, pdf]
A chain rule formula in BV and applications to conservation laws
Graziano Crasta, Virginia De Cicco
Published: 2010-11-03
Journal Reference: SIAM J. Math. Anal. 43 (2011), pp. 430-456

arxiv-id: 0804.4388v1 [Abstract, pdf]
On the Finsler metrics obtained as limits of chessboard structures
Micol Amar, Graziano Crasta, Annalisa Malusa
Published: 2008-04-28
Journal Reference: Adv. Calc. Var. 2 (2009), pp. 321-360

arxiv-id: 0801.3809v1 [Abstract, pdf]
An existence result for the sandpile problem on flat tables with walls
G. Crasta, S. Finzi Vita
Published: 2008-01-24
Journal Reference: Netw. Heterog. Media 3 (2008), pp. 815-830

arxiv-id: math/0612600v1 [Abstract, pdf]
A sharp uniqueness result for a class of variational problems solved by a distance function
G. Crasta, A. Malusa
Published: 2006-12-20
Journal Reference: J. Differential Equations 243 (2007), pp. 427-447

arxiv-id: math/0612597v1 [Abstract, pdf]
A variational approach to the macroscopic electrodynamics of anisotropic hard superconductors
G. Crasta, A. Malusa
Published: 2006-12-20
Journal Reference: Arch. Ration. Mech. Anal. 192 (2009), pp. 87-115,

arxiv-id: math/0612227v1 [Abstract, pdf]
On a system of partial differential equations of Monge-Kantorovich type
G. Crasta, A. Malusa
Published: 2006-12-09
Journal Reference: J. Differential Equations 235 (2007), pp. 484-509

arxiv-id: math/0612226v1 [Abstract, pdf]
The distance function from the boundary in a Minkowski space
G. Crasta, A. Malusa
Published: 2006-12-09
Journal Reference: Trans. Amer. Math. Soc. 359 (2007), pp. 5725-5759