Monographs

1
A. Bressan, G. Crasta, B. Piccoli
Well-posedness of the Cauchy problem for nxn Systems of Conservation Laws
Mem. Amer. Math. Soc. 146 (2000), pp. viii+134, IF2000:1.095
Citation count: 129 (Scopus) 141 (MSN)

Journal articles

2
G. E. Comi, G. Crasta, V. De Cicco, A. Malusa
Representation formulas for pairings between divergence-measure fields and BV functions
J. Funct. Anal. 286 (2024), pp. 110192, IF2022:1.7
Citation count: 1 (Scopus)
3
G. Crasta, I. Fragalà
On a geometric combination of functions related to Prékopa-Leindler inequality
Mathematika 69 (2023), pp. 482-507, IF2022:0.844
Citation count: 0 (Scopus) 0 (MSN)
4
G. Crasta, V. De Cicco, A. Malusa
Pairings between bounded divergence-measure vector fields and BV functions
Adv. Calc. Var. 15 (2022), pp. 787-810, IF2022:2.268
Citation count: 7 (Scopus) 3 (MSN)
5
V. Mastrantonio, G. Crasta, S. Urbanelli, D. Porretta
Cannibalism and Necrophagy Promote a Resource Loop and Benefit Larval Development in Insects of Temporary Waters
Insects 12 (2021), pp. 657, IF2020:2.769
Citation count: 2 (Scopus)
6
G. Crasta, I. Fragalà
Concavity properties of solutions to Robin problems
Camb. J. Math. 9 (2021), pp. 177-212, IF2019:1.625
Citation count: 0 (MSN)
7
G. Crasta, I. Fragalà
On the supremal version of the Alt-Caffarelli minimization problem
Adv. Calc. Var. 14 (2021), pp. 327-341, IF2019:1.275
Citation count: 1 (Scopus) 0 (MSN)
8
G. Crasta, A. Falocchi, F. Gazzola
A new model for suspension bridges involving the convexification of the cables
Z. Angew. Math. Phys. 71 (2020), pp. 93, IF2019:1.428
Citation count: 6 (Scopus) 4 (MSN)
9
G. Crasta, I. Fragalà
Bernoulli free boundary problem for the infinity Laplacian
SIAM J. Math. Anal. 52 (2020), pp. 821-844, IF2019:1.392
Citation count: 2 (Scopus) 3 (MSN)
10
G. Crasta, I. Fragalà
The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators
Adv. Math. 359 (2020), pp. 106855, IF2019:1.494
Citation count: 3 (Scopus) 4 (MSN)
11
G. Crasta, I. Fragalà, B. Kawohl
On the first eigenvalue of the normalized p-Laplacian
Proc. Amer. Math. Soc. 148 (2020), pp. 577-590, IF2019:0.927
Citation count: 1 (Scopus) 2 (MSN)
12
G. Crasta, A. Malusa
Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers
Symmetry 11 (2019), pp. 688, IF2019:2.645
Citation count: 0 (Scopus)
13
G. Crasta, V. De Cicco
An extension of the pairing theory between divergence-measure fields and BV functions
J. Funct. Anal. 276 (2019), pp. 2605-2635, IF2019:1.496
Citation count: 13 (Scopus) 11 (MSN)
14
G. Crasta, V. De Cicco
Anzellotti's pairing theory and the Gauss-Green theorem
Adv. Math. 343 (2019), pp. 935-970, IF2019:1.494
Citation count: 26 (Scopus) 19 (MSN)
15
G. Crasta, I. Fragalà
Rigidity results for variational infinity ground states
Indiana Univ. Math. J. 68 (2019), pp. 353-367, IF2019:1.065
Citation count: 4 (Scopus) 5 (MSN)
16
V. Mastrantonio, G. Crasta, A. Puggioli, R. Bellini, S. Urbanelli, D. Porretta
Cannibalism in temporary waters: Simulations and laboratory experiments revealed the role of spatial shape in the mosquito Aedes albopictus
PLoS One 13(5) (2018), pp. e0198194, IF2018:2.776
Citation count: 12 (Scopus)
17
G. Crasta, V. De Cicco
On the chain rule formulas for divergences and applications to conservation laws
Nonlinear Anal. 153 (2017), pp. 275-293, IF2017:1.291
Citation count: 4 (Scopus) 4 (MSN)
18
G. Crasta, I. Fragalà
Geometric issues in PDE problems related to the infinity Laplace operator
Radon Series on Computational and Applied Mathematics 17 (2017), pp. 3-19
Citation count: 2 (MSN)
19
D. Porretta, V. Mastrantonio, G. Crasta, R. Bellini, F. Comandatore, P. Rossi, G. Favia, C. Bandi, S. Urbanelli
Intra-instar larval cannibalism in Anopheles gambiae (s.s.) and Anopheles stephensi (Diptera: Culicidae)
Parasites and Vectors 9 (2016), pp. 566, IF2016:3.035
Citation count: 13 (Scopus)
20
V. Mastrantonio, D. Porretta, S. Urbanelli, G. Crasta, G. Nascetti
Dynamics of mtDNA introgression during species range expansion: insights from an experimental longitudinal study
Scientific Reports 6 (2016), pp. 30355, IF2016:4.259
Citation count: 34 (Scopus)
21
G. Crasta, V. De Cicco, G. De Philippis, F. Ghiraldin
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
Arch. Ration. Mech. Anal. 221 (2016), pp. 961-985, IF2016:2.392
Citation count: 18 (Scopus) 17 (MSN)
22
G. Crasta, I. Fragalà
Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
Nonlinear Anal. 133 (2016), pp. 228-249, IF2016:1.192
Citation count: 8 (Scopus) 8 (MSN)
23
G. Crasta, I. Fragalà
A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian
Proc. Amer. Math. Soc. 144 (2016), pp. 2547-2558, IF2016:0.679
Citation count: 10 (Scopus) 9 (MSN)
24
G. Crasta, I. Fragalà
On the characterization of some classes of proximally smooth sets
ESAIM Control Optim. Calc. Var. 22 (2016), pp. 710-727, IF2016:1.540
Citation count: 15 (Scopus) 13 (MSN)
25
G. Crasta, I. Fragalà
On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results
Arch. Ration. Mech. Anal. 218 (2015), pp. 1577-1607, IF2015:2.321
Citation count: 20 (Scopus) 20 (MSN)
26
G. Crasta, A. Malusa
Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory
J. Differential Equations 259 (2015), pp. 3656-3682, IF2015:1.821
Citation count: 1 (Scopus) 1 (MSN)
27
G. Crasta, V. De Cicco, G. De Philippis
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
Comm. Partial Differential Equations 40 (2015), pp. 694-726, IF2015:1.444
Citation count: 18 (Scopus) 17 (MSN)
28
G. Crasta, I. Fragalà
A symmetry problem for the infinity Laplacian
Int. Math. Res. Not. IMRN 2015 (2015), pp. 8411-8436, IF2015:1.031
Citation count: 10 (Scopus) 9 (MSN)
29
S. Urbanelli, D. Porretta, V. Mastrantonio, R. Bellini, G. Pieraccini, R. Romoli, G. Crasta, G. Nascetti
Hybridization, natural selection and evolution of reproductive isolation: a 25-years survey of an artificial sympatric area between two mosquito sibling species of the Aedes mariae complex
Evolution 68 (2014), pp. 3030-3038, IF2014:4.612
Citation count: 19 (Scopus)
30
G. Crasta, I. Fragalà
A new symmetry criterion based on the distance function and applications to PDE's
J. Differential Equations 255 (2013), pp. 2082-2099, IF2013:1.570
Citation count: 3 (Scopus) 1 (MSN)
31
L. Ambrosio, G. Crasta, V. De Cicco, G. De Philippis
A nonautonomous chain rule in $W^{1,p}$ and in BV
Manuscripta Math. 140 (2013), pp. 461-480, IF2013:0.497
Citation count: 10 (Scopus) 9 (MSN)
32
G. Crasta, A. Malusa
A nonhomogeneous boundary value problem in mass transfer theory
Calc. Var. Partial Differential Equations 44 (2012), pp. 61-80, IF2012:1.236
Citation count: 7 (Scopus) 7 (MSN)
33
G. Crasta, V. De Cicco
A chain rule formula in the space BV and applications to conservation laws
SIAM J. Math. Anal. 43 (2011), pp. 430-456, IF2011:1.316
Citation count: 10 (Scopus) 9 (MSN)
34
M. Amar, G. Crasta, A. Malusa
On the Finsler metrics obtained as limits of chessboard structures
Adv. Calc. Var. 2 (2009), pp. 321-360, IF2010:0.581
Citation count: 3 (Scopus) 4 (MSN)
35
G. Crasta, A. Malusa
A variational approach to the macroscopic electrodynamics of anisotropic hard superconductors
Arch. Ration. Mech. Anal. 192 (2009), pp. 87-115, IF2009:2.331
Citation count: 4 (Scopus) 5 (MSN)
36
G. Crasta, S. Finzi Vita
An existence result for the sandpile problem on flat tables with walls
Netw. Heterog. Media 3 (2008), pp. 815-830, IF2008:1.548
Citation count: 11 (Scopus) 11 (MSN)
37
G. Crasta, A. Malusa
A sharp uniqueness result for a class of variational problems solved by a distance function
J. Differential Equations 243 (2007), pp. 427-447, IF2007:1.097
Citation count: 6 (Scopus) 5 (MSN)
38
G. Crasta, A. Malusa
The distance function from the boundary in a Minkowski space
Trans. Amer. Math. Soc. 359 (2007), pp. 5725-5759, IF2007:0.824
Citation count: 47 (Scopus) 43 (MSN)
39
G. Crasta, A. Malusa
On a system of partial differential equations of Monge-Kantorovich type
J. Differential Equations 235 (2007), pp. 484-509, IF2007:1.097
Citation count: 8 (Scopus) 7 (MSN)
40
G. Crasta, I. Fragalà, F. Gazzola
Some estimates for the torsional rigidity of composite rods
Math. Nachr. 280 (2007), pp. 242-255, IF2007:0.415
Citation count: 6 (Scopus) 5 (MSN)
41
G. Crasta
A symmetry problem in the calculus of variations
J. Eur. Math. Soc. (JEMS) 8 (2006), pp. 139-154, IF2006:1.486
Citation count: 4 (Scopus) 3 (MSN)
42
G. Crasta, I. Fragalà, F. Gazzola
On a long-standing conjecture by Pólya-Szegö and related topics
Z. Angew. Math. Phys. 56 (2005), pp. 763-782, IF2005:0.455
Citation count: 23 (Scopus) 19 (MSN)
43
G. Crasta, A. Malusa
On the existence and uniqueness of minimizers for a class of integral functionals
NoDEA Nonlinear Differential Equations Appl. 12 (2005), pp. 129-150, IF2005:0.255
Citation count: 2 (Scopus) 1 (MSN)
44
P. Cannarsa, P. Cardaliaguet, G. Crasta, E. Giorgieri
A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications
Calc. Var. Partial Differential Equations 24 (2005), pp. 431-457, IF2005:0.861
Citation count: 22 (Scopus) 22 (MSN)
45
G. Crasta, I. Fragalà, F. Gazzola
On the role of energy convexity in the web function approximation
NoDEA Nonlinear Differential Equations Appl. 12 (2005), pp. 93-109, IF2005:0.255
Citation count: 8 (Scopus) 6 (MSN)
46
G. Crasta
Estimates for the energy of the solutions to elliptic Dirichlet problems on convex domains
Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), pp. 89-107, IF2004:0.487
Citation count: 8 (Scopus) 6 (MSN)
47
G. Crasta
On a class of nonconvex noncoercive Bolza problems with constraints on the derivatives
J. Optim. Theory Appl. 118 (2003), pp. 295-325, IF2003:0.583
Citation count: 1 (Scopus) 2 (MSN)
48
G. Crasta, A. Malusa
Geometric constraints on the domain for a class of minimum problems
ESAIM Control Optim. Calc. Var. 9 (2003), pp. 125-133, IF2003:0.723
Citation count: 4 (Scopus) 3 (MSN)
49
G. Crasta, P.G. LeFloch
Existence result for a class of nonconservative and nonstrictly hyperbolic systems
Commun. Pure Appl. Anal. 1 (2002), pp. 513-530, IF2003:0.581
Citation count: 12 (MSN)
50
G. Crasta, I. Fragalà, F. Gazzola
A sharp upper bound for the torsional rigidity of rods by means of web functions
Arch. Ration. Mech. Anal. 164 (2002), pp. 189-211, IF2002:1.585
Citation count: 25 (Scopus) 22 (MSN)
51
G. Crasta, F. Gazzola
Some estimates of the minimizing properties of web functions
Calc. Var. Partial Differential Equations 15 (2002), pp. 45-66, IF2002:0.676
Citation count: 11 (Scopus) 11 (MSN)
52
G. Crasta
Variational problems for a class of functionals on convex domains
J. Differential Equations 178 (2002), pp. 608-629, IF2002:0.903
Citation count: 9 (Scopus) 10 (MSN)
53
G. Crasta, F. Gazzola
Web functions: survey of results and perspectives
Rend. Istit. Mat. Univ. Trieste 33 (2001), pp. 313-326, IF2001:N/A
Citation count: 12 (Scopus) 11 (MSN)
54
G. Crasta, A. Malusa
Nonconvex minimization problems for functionals defined on vector valued functions
J. Math. Anal. Appl. 254 (2001), pp. 538-557, IF2001:0.444
Citation count: 6 (Scopus) 6 (MSN)
55
G. Crasta
Existence, uniqueness and qualitative properties of minima to radially symmetric non-coercive non-convex variational problems
Math. Z. 235 (2000), pp. 569-589, IF2000:0.502
Citation count: 17 (Scopus) 17 (MSN)
56
G. Crasta, A. Malusa
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems
J. Convex Anal. 7 (2000), pp. 167-181, IF2003:0.507
Citation count: 0 (Scopus) 8 (MSN)
57
G. Crasta
On the minimum problem for a class of noncoercive nonconvex functionals
SIAM J. Control Optim. 38 (1999), pp. 237-253, IF1999:1.080
Citation count: 14 (Scopus) 14 (MSN)
58
G. Crasta
Existence of minimizers for nonconvex variational problems with slow growth
J. Optim. Theory Appl. 99 (1998), pp. 381-401, IF1998:0.517
Citation count: 9 (Scopus) 9 (MSN)
59
G. Crasta, B. Piccoli
Viscosity solutions and uniqueness for systems of inhomogeneous balance laws
Discrete Contin. Dynam. Systems 3 (1997), pp. 477-502, IF2002:0.868
Citation count: 31 (Scopus) 30 (MSN)
60
G. Crasta, A. Malusa
Existence results for noncoercive variational problems
SIAM J. Control Optim. 34 (1996), pp. 2064-2076, IF1997:1.031
Citation count: 15 (Scopus) 15 (MSN)
61
G. Crasta
An existence result for noncoercive nonconvex problems in the calculus of variations
Nonlinear Anal. 26 (1996), pp. 1527-1533, IF1997:0.280
Citation count: 12 (Scopus) 8 (MSN)
62
G. Crasta, B. Piccoli
Special bang-bang solutions for nonlinear control systems
NoDEA Nonlinear Differential Equations Appl. 2 (1995), pp. 323--339, IF2002:0.396
Citation count: 0 (Scopus) 0 (MSN)
63
A. Bressan, G. Crasta
Extremal selections of multifunctions generating a continuous flow
Ann. Polon. Math. 60 (1994), pp. 101-117, IF2009:0.597
Citation count: 3 (MSN)
64
G. Crasta, B. Piccoli
Bang-bang property for Bolza problems in two dimensions
J. Optim. Theory Appl. 83 (1994), pp. 155-165, IF1997:0.537
Citation count: 2 (Scopus) 1 (MSN)

Preprints

65
G. Crasta, I. Fragalà
Variational worn stones
66
G. Crasta, V. De Cicco
On the variational nature of the Anzellotti pairing
67
G. Crasta
Anisotropic perimeter and isoperimetric quotient of inner parallel bodies

Other publications

68
G. Crasta
Nonconvex problems in Control Theory and Calculus of Variations
PhD thesis, S.I.S.S.A. Trieste (1995)
69
G. Crasta, A. Gavioli
Temi d'esame svolti di Analisi Matematica II
Pitagora Editrice, Bologna (1997)
70
G. Crasta, A. Malusa
Matematica 1: Teoria ed Esercizi
Pitagora Editrice, Bologna (2003)
71
G. Crasta, A. Malusa
Matematica 2: Teoria ed Esercizi
Pitagora Editrice, Bologna (2004)
72
G. Crasta
Elementi di Biostatistica
Edizioni La Dotta, Bologna (2014)
73
G. Crasta, A. Malusa
Elementi di Analisi Matematica e Geometria
Edizioni La Dotta, Bologna (2015)
74
G. Crasta, A. Malusa
Primo Corso di Analisi Matematica
Independently Published (2022)
IF sum = 80.031; count = 62 - Citations = 772