Show bibliometric data MathSciNet
citations and
author profile Scopus author details
Total items in DB = 64, citations = 772 [Scopus: 727 on 60 items, MSN: 637 on 57 items]
H-index: 15, rat-H = 15.870967741935, r-H = 15
G-index: 24, rat-G = 24.30612244898, r-G = 24.131126469709
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, IF2000:1.095Citation 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, IF2022:1.7Citation 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, IF2022:0.844Citation 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, IF2022:2.268Citation 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, IF2020:2.769Citation count: 2 (Scopus)
6
G. Crasta, I. Fragalà
Concavity properties of solutions to Robin problems
Camb. J. Math. 9 (2021), pp. 177-212, IF2019:1.625Citation 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, IF2019:1.275Citation 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, IF2019:1.428Citation 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, IF2019:1.392Citation 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, IF2019:1.494Citation 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, IF2019:0.927Citation 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, IF2019:2.645Citation 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, IF2019:1.496Citation 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, IF2019:1.494Citation 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, IF2019:1.065Citation 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, IF2018:2.776Citation 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, IF2017:1.291Citation 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. 3-19Citation 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, IF2016:3.035Citation 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, IF2016:4.259Citation 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, IF2016:2.392Citation 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, IF2016:1.192Citation 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, IF2016:0.679Citation 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, IF2016:1.540Citation 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, IF2015:2.321Citation 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, IF2015:1.821Citation 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, IF2015:1.444Citation 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, IF2015:1.031Citation 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, IF2014:4.612Citation 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, IF2013:1.570Citation 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, IF2013:0.497Citation 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, IF2012:1.236Citation 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, IF2011:1.316Citation 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, IF2010:0.581Citation 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, IF2009:2.331Citation 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, IF2008:1.548Citation 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, IF2007:1.097Citation 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, IF2007:0.824Citation 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, IF2007:1.097Citation 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, IF2007:0.415Citation 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, IF2006:1.486Citation 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, IF2005:0.455Citation 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, IF2005:0.255Citation 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, IF2005:0.861Citation 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, IF2005:0.255Citation 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, IF2004:0.487Citation 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, IF2003:0.583Citation 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, IF2003:0.723Citation 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, IF2003:0.581Citation 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, IF2002:1.585Citation 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, IF2002:0.676Citation 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, IF2002:0.903Citation 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/ACitation 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, IF2001:0.444Citation 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, IF2000:0.502Citation 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, IF2003:0.507Citation 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, IF1999:1.080Citation 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, IF1998:0.517Citation 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, IF2002:0.868Citation 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, IF1997:1.031Citation 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, IF1997:0.280Citation 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, IF2002:0.396Citation 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, IF2009:0.597Citation 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, IF1997:0.537Citation 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