------------------------------------------------------------------------
CURRICULUM
(English), for the updated list of publications see the italian
curriculum
CURRICULUM
(Italian)
Meetings:
INDAM
SCHOOL
ON SYMMETRY FOR ELLIPTIC PDEs, Roma, May 25-29, 2009
SEMINARI
DI
ANALISI MATEMATICA, giornata in ricordo di Bruno Pini
Bologna 27
Novembre 2009
MATHEMATICS & APPLICATIONS, Milan, January 11, 2010 and Cagliari, June 3-5, 2010
SEMINARI
DI
ANALISI MATEMATICA, giornata in ricordo di Bruno Pini
Bologna 26
Novembre 2010
SEMINARI DI ANALISI MATEMATICA, giornata in ricordo di Bruno Pini Bologna 25 Novembre 2011
PHASE
TRANSITION PROBLEMS AND NONLINEAR PDEs, School/Workshop,
Bologna, March 9-11, 2015
Some recent papers:
De Silva, Daniela; Ferrari, Fausto; Salsa, Sandro Free boundary regularity for fully nonlinear
non-homogeneous two-phase problems. J. Math. Pures Appl.
(9) 103 (2015), no. 3, 658–694.
Ferrari, Fausto; Franchi, Bruno Harnack inequality for fractional sub-Laplacians in Carnot groups. Math. Z. 279 (2015), no. 1-2, 435–458.
Ferrari, Fausto Mean value properties of fractional second order
operators. Commun. Pure Appl.
Anal. 14 (2015), no. 1, 83–106.
Ferrari, Fausto; Pinamonti, Andrea Characterization by asymptotic mean formulas of
Ferrari, Fausto; Medina, Maria; Peral, Ireneo Biharmonic elliptic problems involving the 2nd Hessian
operator. Calc. Var. Partial
Differential Equations 51 (2014), no. 3-4, 867–886Fausto
Ferrari; Verbitsky, Igor E.. Radial fractional Laplace
operators and Hessian inequalities. J. Differential Equations 253
(2012), no. 1, 244–272.
Ferrari, Fausto Some a priori estimates for a class of operators in the
Heisenberg group. Ann. Mat. Pura Appl.
(4) 193 (2014), no. 4, 1019–1040.
De Silva, Daniela; Ferrari, Fausto; Salsa, Sandro Two-phase problems with distributed sources: regularity
of the free boundary. Anal. PDE 7 (2014), no. 2, 267–310.
Ferrari, Fausto; Liu, Qing; Manfredi, Juan J. On the horizontal mean curvature flow for axisymmetric
surfaces in the Heisenberg group. Commun. Contemp.
Math. 16 (2014), no. 3, 1350027, 41 pp.
Ferrari, Fausto; Liu, Qing; Manfredi, Juan On the characterization of
Ferrari, Fausto; Salsa, Sandro Two-phase free boundary problems for parabolic operators: smoothness of the front. Comm. Pure Appl. Math. 67 (2014), no. 1, 1–39.
Fausto Ferrari; Franchi, Bruno; Verbitsky, Igor E.. Hessian
inequalities and the fractional Laplacian. J. Reine Angew. Math.
667
(2012), 133–148
Citti, Giovanna; Fausto Ferrari. A sharp regularity result of
solutions of a transmission problem. Proc. Amer. Math. Soc. 140
(2012),
no. 2, 615–620.
Fausto Ferrari; Valdinoci, Enrico. Density estimates for a
fluid jet model in the Heisenberg group. J. Math. Anal. Appl. 382
(2011), no. 1, 448–468.
Fausto Ferrari. Some inequalities associated with semilinear
elliptic equations with variable coefficients and applications.
Symmetry for elliptic PDEs, 81–104, Contemp. Math., 528, Amer.
Math.
Soc., Providence, RI, 2010.
Fausto Ferrari; Sandro Salsa. Regularity of the solutions
for
parabolic two-phase free boundary problems. Comm. Partial
Differential
Equations 35 (2010), no. 6, 1095–1129
I. Birindelli, F. Ferrari, E. Valdinoci, Semilinear PDEs
in the Heisenberg group: the role of the right invariant vector
fields, Nonlinear Analysis
Series A: Theory, Methods & Applications (in corso di stampa
apparirŕ nel numero 72, 987--997 (2010));
doi:10.1016/j.na.2009.07.039
Fausto Ferrari, Enrico Valdinoci,
A geometric
inequality in the Heisenberg group and its applications to
stable
solutions of semilinear problems,
to appear in Math. Ann., avalaible on line http://dx.doi.org/10.1007/s00208-008-0274-8
Nicola Arcozzi, Fausto Ferrari,
The
Hessian of the distance from a surface in the Heisenberg group ,
Annales Academić Scientiarum Fennicć
Mathematica, 33, 35-63 (2008).
Fausto Ferrari, Bruno Franchi, Hervé Pajot,
The
Geometric
Traveling Salesman Theorem in the Heisenberg group,
Revista Mathematica Iberoamericana, Volume 23, Number 2,
437-480
(2007).
Fausto Ferrari, Sandro Salsa,
Regularity
of
the free boundary in two-phase Problems for linear
elliptic
operators, Advances in Mathematics 214, 288-322,
(2007) .
Fausto Ferrari, A Steiner formula in the Heisenberg group, (preprint 2006)
Nicola Arcozzi, Fausto Ferrari,
Metric
normal
and
distance function in the Heisenberg group (Received:
11
March 2005 Accepted: 9 September 2006 Published
online: 6
January 2007 in Mathematische Zeitschrift), Volume 256,3,
661-684 (2007)
Fausto Ferrari,
Two-phase
problems
for a class of fully nonlinear elliptic operators.
Lipschitz free boundaries are $C^{1,\gamma}$,
American
Journal
of Mathematics 128, 3, 541--571 (2006)
Fausto Ferrari, Sandro Salsa,
Subsolutions of elliptic operators in divergence form and
application
to two-phase free boundary problems, Bound. Value Probl. 2007,
Art. ID
57049, 21 pp.
Fausto Ferrari, Bruno Franchi, Hervé Pajot,
The Geometric Traveling Salesman Theorem in the Heisenberg group,
(Prépublication
de L'INSTITUT FOURIER Université de Grenoble I, CNRS, n. 667,
Anneé
2005), accepted paper, to appear in Revista Mathematica
Iberoamericana.
Fausto Ferrari, Bruno Franchi, Guozhen Lu,
On a relative
Alexandrov-Fenchel inequalitiy for convex bodies in
Euclidean
spaces, Forum Mathematicum 18,
907-921 (2006)
Fausto Ferrari,
Harnack
inequality
for two-weight subelliptic p-Laplace operators,
Mathematische Nachrichten, Vol 279, 8, 815-830 (2006)
M. Cristina Cerutti, Fausto Ferrari, Sandro Salsa,
Two
phase
problems for linear elliptic operators with variable
coefficients:
Lipschitz free boundaries are C^{1,\gamma},
Archive for Rational Mechanics and Analysis, Vol 171, n.3, pp. 329
- 348 (2004)
Fausto Ferrari, Bruno Franchi,
A
local doubling formula for the harmonic measure associated with
subelliptic
operators and applications,
Communication in Partial Differential Equations, vol 28 (1,2) 1-60
( 2003).
SUBMITTED PAPERS
D. De Silva, F. Ferrari, S. Salsa, Two-phase problems with
distributed source: regularity of the free
boundary, arXiv:1210.7226 (2012) submitted.
F. Ferrari, Q. Liu, J.J Manfredi, On the characterization of
p−harmonic functions on the Heisenberg
group by mean value properties arXiv:1210.2881v1 (2012)
submitted
F. Ferrari, Q. Liu, J.J Manfredi, On the horizontal mean
curvature flow for axisymmetric surfaces in
the Heisenberg group arXiv:1210.1086v1 (2012) submitted
F. Ferrari, B. Franchi, Harnack inequality for fractional
sub-Laplacians in Carnot groups
arXiv:1206.0885v3 (2012) submitted.
F. Ferrari, A. Pinamonti, Nonexistence results for semilinear
equations in Carnot groups arXiv: (2012)
submitted
F. Ferrari, Some a priori estimates for a class of operators
in
the Heisenberg group (2012)submitted.
F. Ferrari, S. Salsa Two-phase free boundary problems for
parabolic operators: smoothness of the front,
(2011) submitted.
N. Arcozzi, F. Ferrari, F. Montefalcone, CC-distance and
metric
normal of smooth hypersurfaces in
sub-Riemannian, Carnot groups, arXiv:0910.5648 (2009) submitted.