Catalogo dei Corsi di studio

CURRICULUM VITAE
DANIELA GIACHETTI

BIRTH DATE: May 25, 1954

PLACE OF BIRTH: Naples ( Italy)

ADDRESS:

Dipartimento di Scienze di Base e Applicate per l Ingegneria
Universita' di Roma "La Sapienza"
Via Antonio Scarpa 16, 00161 Roma
e-mail: daniela.giachetti@sbai.uniroma1.it
Tel. +39.06.4976.6689
Fax +39.06.49766684

EDUCATION:

High School Degree, 60/60, liceo classico J.Sannazaro, Naples, 1972.

Laurea (Master) in Mathematics, 110/110 cum laude, University of Naples on June 24, 1976.

Scuola di Perfezionamento (Post graduate degree) in Scienze Matematiche, Fisiche e Cibernetiche (Mathematical, Physical and Cybernetic Science), cum laude , University of Salerno on December 12, 1979.

Visiting at Laboratoire d Analyse Numerique de l Universitè Pierre et Marie Curie (Paris VI) for different periods from 1979 to 1982.

ACADEMIC POSITIONS:

1991-present: Full Professor in Mathematical Analysis , Engineering Faculty, University of Roma Sapienza.

1987-1991: Full Professor in Mathematical Analysis, Science Faculty, University of L Aquila.

1986-1987: Associate Professor in Mathematical Analysis, Science Faculty, University of Roma Tor Vergata.

1982 1986: Researcher, Science Faculty, University of Salerno and Roma Tor Vergata.

PUBLICATIONS

ARTICLES ON JOURNALS

1 ) D. Giachetti, E. Mascolo
Quasi-elliptic problems in Sobolev weighted spaces , Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 63 (1977), n. 5, 360-367.

2) D. Giachetti, E. Mascolo
Quasielliptic problems in Sobolev spaces with a weight , Ricerche Mat. 28 (1979), n.1, 3-37.

3) D. Giachetti, E. Mascolo, R. Schianchi
Higher order nonlinear partial differential equations in unbounded domains of $R^n$ . Comment. Math. Univ. Carolin. 20 (1979), n. 3, 583-595.

4) D. Giachetti, E. Mascolo
Spectral properties of a class of quasi-elliptic operators , Ann. Univ. Ferrara Sez. VII (N.S.) 25 (1979), 27-46.

5) D. Giachetti, P.Donato
Spectrum property of a class of elliptic linear operators in unbounded domains and applications to semilinear problems , Ann. Univ. Ferrara Sez. VII (N.S.) 27 (1981), 43--69 (1982).

6) D. Giachetti
Some unilateral problems of implicit type in unbounded domains . Rend. Mat. (7) 1 (1981), n. 4, 541-558.

7) D. Giachetti, L. Boccardo
Strongly nonlinear unilateral problems , Appl. Math. Optim. 9 (1982/83), n. 3, 291-301.

8) D. Giachetti
Optimal control in constrained problems , Boll. Un. Mat. Ital. B (6) 2 (1983), n. 2, 445-468.

9) D. Giachetti, M. Ramaswamy
Existence and homogenization for semilinear elliptic equations with noncompact nonlinearity , Nonlinear Anal. 8 (1984), n. 1, 5-15.

10) D. Giachetti
Some homogenization results for strongly nonlinear equations , Nonlinear Anal. 8 (1984), n. 10, 1201-1214.

11) D. Giachetti, L.Boccardo
Some remarks on the regularity of solutions of strongly nonlinear problems, and applications , Ricerche Mat. 34 (1985), n. 2, 309-323.

12) D. Giachetti, P. Donato
Quasilinear elliptic equations with quadratic growth in unbounded domains , Nonlinear Anal. 10 (1986), no. 8, 791-804.

13) D. Giachetti, L. Boccardo, P.Drábek, M. Ku era
Generalization of Fredholm alternative for nonlinear differential operators , Nonlinear Anal. 10 (1986), n. 10, 1083--1103.

14) D. Giachetti, P. Donato
Unilateral problems with quadratic growth in unbounded domains , Boll. Un. Mat. Ital. A (6) 5 (1986), n. 3, 361-369.

15) D. Giachetti, L. Boccardo
Stability results for two classes of nonlinear unilateral problems , Numer. Funct. Anal. Optim. 9 (1987), n. 3-4, 447-469.

16) D. Giachetti, L. Boccardo
Existence results via regularity for some nonlinear elliptic problems ,Comm. Partial Differential Equations 14 (1989), no. 5, 663-680.

17) D. Giachetti, L. Boccardo, J. I. Diaz, F. Murat
Existence of a solution for a weaker form of a nonlinear elliptic equation , Recent advances in nonlinear elliptic and parabolic problems (Nancy, 1988), 229-246, Pitman Res. Notes Math. Ser., 208, Longman Sci. Tech., Harlow, 1989.

18) D. Giachetti, L. Boccardo, F. Murat
A generalization of a theorem of H. Brézis & F. E. Browder and applications to some unilateral problems , Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), n. 4, 367-384.

19) D. Giachetti, L. Boccardo, J. I.Diaz, F. Murat.
Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms , J. Differential Equations 106 (1993), no. 2, 215-237.

20) D. Giachetti, R. Schianchi
Minima of some nonconvex noncoercive problems , Ann. Mat. Pura Appl. (4) 165 (1993), 109-120.

21) D. Giachetti, R. Schianchi
An existence result for a nonconvex problem without upper growth conditions , Rend. Mat. Appl. (7) 14 (1994), no. 3, 503-521.

22) D. Giachetti, F. Leonetti, R. Schianchi
On the regularity of very weak minima , Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), n. 2, 287-296.

23) D. Giachetti, F. Leonetti, R. Schianchi
Boundary higher integrability for the gradient of distributional solutions of nonlinear systems , Studia Math. 123 (1997), n. 2, 175--184.

24) D. Giachetti, F. Leonetti, R. Schianchi
Boundary regularity and uniqueness for very weak A-harmonic functions . Dedicated to Prof. C. Vinti (Perugia, 1996), Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 765-769.

25) D.Giachetti, R.Schianchi
An Agmon-Douglis-Niremberg type result for some non linear equations , Rendiconti dell Istituto di Matematica dell Università di Trieste, 31, (1999), 143-152.

26) D.Giachetti, M.M. Porzio
Local regularity results for minima of functionals of the Calculus of Variations , Nonlinear Analysis T.M.A vol 39 (2000).

27) D.Giachetti, M.M. Porzio
Existence results for some non uniformly elliptic equations with
irregular data , Journal of Mathematical Analysis and Applications, 257, (2001)

28) D.Giachetti, A.Dall Aglio, J.P.Puel
Nonlinear elliptic equations with natural growth in general domains , Annali di Matematica Pura e Applicata ( 4 ) 181, (2002), 407-426

29) D.Giachetti, M.M. Porzio
Elliptic equations with degenerate coercivity : gradient regularity , Acta Mathematica, Academia Sinica 19 (n.2), (2003).

30) D.Giachetti, A.Dall Aglio, V.De Cicco, J.P.Puel
Existence of solutions for nonlinear elliptic equations in unbounded domains , Nonlinear Differential Equations and Applications 11 (2004), 431-450.

31) D.Giachetti, A. Dall Aglio, I. Peral
"Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities" SIAM J. Math. Anal. Vol.36 n.3 (2004), 691-716.

32) D.Giachetti, A. Dall Aglio, S.Segura de Leòn
Semilinear parabolic equations with superlinear reaction terms and application to some convection-diffusion problems (Proceedings of the Conference Nonlinear Partial Differential Equations , Alushta, Ukraine, Sept 15-21, 2003, Ukranian mathematical bulletin, vol I, n.4 (2004), 518-531)

33) D.Giachetti, A. Dall Aglio, J.P. Puel
Nonlinear parabolic equations with natural growth in general domains , B.U.M.I, 8B (2005), 653-683

34) D.Giachetti, A. Dall Aglio, C. Leone, S.Segura de Leòn
Quasi linear parabolic equations with degenerate coercivity having a quadratic gradient term Ann. I.H.P. AN 23 (2006), 97-126

35) D.Giachetti, A. Dall Aglio, S.Segura de Leòn
Nonlinear parabolic problems with a very general quadratic gradient term , Differential Integral Equations 20 ( 2007), n.4, 361-396.

36) D.Giachetti, G.Maroscia
"Porous medium type equations with a quadratic gradient term" Bollettino U.M.I. sez.B, 10 (2007), n.3, 753-759.

37) D.Giachetti, M.M. Porzio
"Global Existence for Nonlinear Parabolic Equations with a Damping Term" Comm. Pure Appl. Analysis, 8, n.3 (2009).

38) D.Giachetti, G.Maroscia
Existence results for a class of porous medium type equations with a quadratic gradient term J. Evol. Equ. 8, (2008), n.1, 155-188.

39) D.Giachetti, A. Dall Aglio, I.Peral, S.Segura de Leòn
Global existence for slightly super-linear parabolic equations with measure data , J. Math. Anal. Appl. 345 (2008), n. 2, 892-902.

40) D.Giachetti, A. Dall Aglio, S.Segura de Leòn
"Global existence for parabolic problems involving the p-Laplacian and a critical gradient term", Indiana University Mathematics Journal, 58, (2009), n.1, 1-48.

41) D.Giachetti, L.Boccardo
A nonlinear interpolation result with applications to the summability of minima of some integral functionals , Discrete and Continuous Dynamical Systems Series B, 11, (2009), n.1, 31-42.

42) D.Giachetti, F.Murat
Elliptic problems with lower order terms having singular behaviour , Boll. U.M.I. (9), II, (2009), 349-370.

43) D.Giachetti, M.M. Porzio
Existence and blow-up results for fast diffusion equations with nonlinear sources Advanced Nonlinear Studies 10 (2010), 131-160.

44) D. Giachetti, B.Abdellaoui, I. Peral, M.Walias
Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary , Nonlinear Analysis TMA 74 (2011), 1355-1371.

45) D. Giachetti, P.Donato
Homogenization of some singular nonlinear elliptic problems , International Journal of Pure and Applied Mathematics, 73, (2011), 349-378.

46) D. Giachetti, S. Segura de Leon
Quasilinear stationary problems with a quadratic gradient term having singularities
Journal of the London Mathematical Society, 86, (2012), 585-606; doi: 10.1112/jlms/jds014

47) D.Giachetti, F.Petitta, S.Segura de Lèon
Elliptic equations having a singular quadratic gradient term and a changing sign datum , Communications on Pure and Applied Analysis , 11, (2012), 1875-1895.

48) D.Giachetti, F.Petitta, S.Segura de Lèon
A priori estimates for elliptic problems with a strongly singular gradient term and a general datum , Differential and Integral Equations, 26, Number 9/10 (2013), 913-948.

49) D. Giachetti, B.Abdellaoui, I.Peral, M.Walias
Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary: Interaction with a Hardy-Leray potential Discrete and Continuous Dynamical Systems-Series A, 34, no. 5, (2014) 1747-1774, doi:10.3934/dcds.2014.34.1747

50) I. de Bonis, D.Giachetti
Singular parabolic problems with possibly changing sign data , Discrete and Continuous Dynamical Systems-Series B, 19, (2014), no.7, 2047-2064, doi:10.3934/dcdsb.2014.19.2047

51) I. de Bonis, D.Giachetti
Nonnegative solutions for a class of singular parabolic problems involving p-laplacian , Asymptotic Analysis, (2015), 91, no. 2, 147-183, doi: 10.3233/ASY-141257.

52) D. Giachetti, P. J. Mart\'inez-Aparicio and F. Murat
Advances in the study of singular semilinear elliptic problems ,
Trends in differential equations and applications, ed. by F. Ortegon Gallego, V. Redondo Neble and J.R. Rodriguez Galvan. SEMA-SIMAI Springer Series {8},
Springer International Publishing Switzerland, (2016), 221-241.

53) D. Giachetti, P. Donato
Existence and homogenization for a singular problem through rough surfaces , SIAM J. Math. Anal. 48-6 (2016), 4047-4086 http://dx.doi.org/10.1137/15M1032107

54) D. Giachetti, B.Vernescu, M.A.Vivaldi
Asymptotic analysis of singular problems in perforated cylinders , Differential and Integral Equations, 29, n.5/6, (2016), 531-562.

55) D. Giachetti, P.J. Martinez-Aparicio and F. Murat
A semilinear elliptic equations with a mild singularities at u = 0: existence and homogeneization , J. Math. Pures et Appl., 107, (2017), 41-77, http://dx.doi.org/10.1016/j.matpur.2016.04.007

56) D. Giachetti, P. J. Martinez-Aparicio and F. Murat
Definition, existence, stability and uniqueness of the solution to a semi-linear elliptic problem with a strong singularity at u = 0 , Ann. Sc. Norm. Sup. Pisa, 18, (2018), 1395-1442, DOI Number: 10.2422/2036-2145.201612_008

57) D. Giachetti, P. J. Martinez-Aparicio and F. Murat
Homogenization of elliptic problems with a strong singularity at u = 0 , J. Funct. Anal., 274, (2018), pp. 1747-1789, https://doi.org/10.1016/j.jfa.2017.11.007

58) D. Giachetti, P. J. Martinez-Aparicio and F. Murat On the definition of the solution to a semilinear elliptic problem with a strong singularity at u=0 Nonlinear Analysis, 177, (2018), 491-523.

59) D. Giachetti, V. De Cicco and S. Segura de Leòn
"Elliptic problems involving the 1-Laplacian and a singular lower order term", J. London Math. Soc. (2) 99 (2019), no. 2, 349-376.

60) D. Giachetti, V. De Cicco , F. Oliva, F. Petitta
Dirichlet problems for singular elliptic equations with general nonlinearities , Calc. Var. Partial Differential Equations 58 (2019), no. 4.

PROCEEDINGS

1) D. Giachetti, R. Schianchi (1998). Higher integrability for the gradient of the solutions of a nonliner Neumann problem. In: "First Pacific Rim Conference on Mathematics Hong-Kong, january 19-23, 1998

2) D. Giachetti, M.M. Porzio (1998). Regolarità locale per minimi di funzionali del Calcolo delle Variazioni. In: S.I.M.A.I., IV Congresso Nazionale di Matematica Applicata e Industriale, june 1-5 , 1998

3) D. Giachetti, A. Dall Aglio, S. Segua de Lèon (2003). Semilinear parabolic equations with superlinear reaction terms and application to some convection-diffusion problems. In: NPDE- Ucraina 2003

4) D. Giachetti, P. Donato (2011). Quasilinear singular elliptic equations. In: Evolution Equations and Materials with Memory ATTI DEL CONVEGNO. Roma, july 12-14 , 2010, CASA EDITRICE UNIVERSITA` LA SAPIENZA

5) D. Giachetti, P. Donato, F. Petitta, S. Segura de Leon (2013). Singular problems: existence and homogenization results. In: E´quations aux de´rive´es partielles et leurs applications-Actes du colloque Edp-Normandie. Le Havre 2012. p. 61-67, Federation Normandie-Mathematiques Editions, ISBN: 9782954122113, Le Havre

MONOGRAPH

V. De Cicco, D. Giachetti
Metodi matematici per l'ingegneria. Esculapio Bologna
RECENT TEACHING ACTIVITY (2007-2019)

2007-2019 Courses of Analisi Matematica II and Metodi Matematici per l Ingegneria (Engineering Faculties, Roma Sapienza).

RECENT RESEARCH ACTIVITY (2007-2019).

We studied some models of propagation phenomena in bounded domains, which involve stationary and evolution problems with lower order terms $h(u)|Du|^2$, depending on the solution u and on its gradient. The main feature is that the function h(s) is singular at some point.
In particular, we considered (in collaboration with Sergio Segura de Leon, University of Valencia) the stationary problem, with Dirichlet boundary conditions, in the case that the singularity is placed in a point different from zero (say in u=1) and the previous function h(s) is summable near the singularity (see [1])
The case where the singularity is placed in u=0 was already studied (see, for examples [2], [3] and [4] and references therein), for non negative data f(x): in that papers, existence and non existence results are obtained, depending on the strength of the singularity and on the sign and size of the lower order term. An essential tool is the strong maximum principle.

In [8] we extended some of these results dealing with singularity placed at u=0 to the case where the datum f(x) changes its sign; in the quoted paper, the function h(s) which appears in the term $h(u) |Du|^2$ is summable near the singularity.
This problem is not at all a simple technical matter: indeed, in the case where f(x) can change sign, the solution u can vanish inside the domain (and actually this occurs in some situation), due to the fact that we cannot apply maximum principle.
Therefore, first of all, we have to understand and define carefully the meaning of solution, giving sense to the gradient term on the singularity.
If the growth of the lower order term near the singularity is very strong, (i.e. when the function h(s) is not summable near the singularity) and the datum f(x) can change its sign the problem of existence of solutions is still an open one and it seems to be a very difficult task.

Moreover we obtained (in collaboration with M.Michaela Porzio, University of Roma Sapienza) existence results for global solutions to parabolic equation of fast diffusion type: the problem involves a reaction term g(u) having slightly superlinear growth and measure data. The complementary case has also been considered, getting a blow-up in finite time result (see [5]).

In the paper [6], in collaboration with Ireneo Peral, Boumediene Abdellaoui e Magdalena Walias, Universidad Autonoma di Madrid, we studied a model of growth in porous media, starting by the stationary case $\Delta(u^m)=|Du|^q+f$ with Dirichlet boundary conditions. We got existence of distributional solutions and regularity results, depending on the values of the parameters $m>0$ and $1

Moreover, we studied, in collaboration with Patrizia Donato, University of Rouen, the asymptotic behaviour of sequences of solutions to quasi linear Dirichlet problems involving lower order terms singular in the u variable at u=0. The terms grow quadratically in the gradient and the sequences of the matrices in the principal parts H-converge. (see [7]).

Recently we studied existence for singular semilinear elliptic problems (i.e. the lower order singular term depends only on the solution u) and homogeneization of this kind equations in perforated domains, in collaboration with Francois Murat (Paris VI) and Pedro Martinez Aparicio (Cartagena, Spain) (see [9], [12], [13]) and with B. Vernescu (WPI, USA) and M.A. Vivaldi (Sapienza Roma, Italy) (see [14]).
Homogenization of singular problems posed in domains having inside oscillating interfaces is studied in [15].

Existence of non negative solutions for parabolic singular problems has been recently considered in [10], [11].

Existence of non negative solutions for Dirichlet problems with 1-Laplacian principal part and singular lower order terms has been investigated in [16].

References

[1] D. Giachetti, S. Segura de Leon: Quasilinear stationary problems with a quadratic gradient term having singularities, Journal of the London Mathematical Society, doi: 10.1112/jlms/jds014.

[2]L. Boccardo: Dirichlet problems with singular and gradient quadratic
lower order terms ESAIM Control Optim. Calc. Var 14 (2008), 411-426.

[3 D. Giachetti, F. Murat: An elliptic problem with a lower order term having singular behaviour", Boll. Unione Mat. Ital. (9) 2 (2009), 349-370.

[4] D. Arcoya, J. Carmona, T. Leonori, P.J. Martinez-Aparicio, L. Orsina and F. Petitta: Existence and nonexistence of solutions for singular quadratic
quasilinear equations, J. Differential Equations, 246 (2009), 4006-4042.

[5] D.Giachetti, M.M. Porzio: Existence and blow-up results for fast diffusion equations with nonlinear sources, Advanced Nonlinear Studies 10 (2010), 131-160

[6] B.Abdellaoui, D. Giachetti, I.Peral, M.Walias: Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary, Nonlinear Analysis TMA 74 (2011), 1355-1371.

[7] D. Giachetti, P.Donato: Homogenization of some singular nonlinear elliptic problema, International Journal of Pure and Applied Mathematics, 73, (2011), 349-378.

[8] D.Giachetti, F.Petitta, S.Segura de Lèon : Elliptic equations having a singular quadratic gradient term and a changing sign datum, Communications on Pure and Applied Analysis , 11, (2012), 1875-1895.

[9] D. Giachetti, P.J. Martinez-Aparicio and F. Murat
A semilinear elliptic equations with a mild singularities at u = 0: existence and homogeneization , J. Math. Pures et Appl., 107, (2017), pp. 41-77,

[10] I. de Bonis, D.Giachetti
Singular parabolic problems with possibly changing sign data , accepted on Discrete and Continuous Dynamical Systems-Series B, (2014),19, no. 7, 2047- 2064.

[11] I. de Bonis, D.Giachetti
Nonnegative solutions for a class of singular parabolic problems involving p-laplacian , Asymptotic Analysis, (2015), 91, no. 2, 147-183, doi: 10.3233/ASY-141257.

[12] D. Giachetti, P.J. Martinez-Aparicio and F. Murat
Definition, existence, stability and uniqueness of the solution to a semi-linear elliptic problem with a strong singularity at u = 0 , Ann. Sc. Norm. Sup. Pisa, 18, (2018), 1395-1442, DOI Number: 10.2422/2036-2145.201612_008

[13] D. Giachetti, P.J. Martinez-Aparicio and F. Murat
Homogenization of elliptic problems with a strong singularity at u = 0 , J. Funct. Anal., 274, (2018), pp. 1747-1789, https://doi.org/10.1016/j.jfa.2017.11.007

[14] D. Giachetti, B.Vernescu, M.A.Vivaldi
Asymptotic analysis of singular problems in perforated cylinders , Differential and Integral Equations, (2016), 29, n.5/6, 531-562.

[15] D. Giachetti, P. Donato Existence and homogenization for a singular problem through rough surfaces ,
SIAM J. Math. Anal. 48-6 (2016), 4047-4086 http://dx.doi.org/10.1137/15M1032107

[16] D. Giachetti, V. De Cicco and S. Segura de Leòn
"Elliptic problems involving the 1-Laplacian and a singular lower order term", J. London Math. Soc. (2) 99 (2019), no. 2, 349-376.

FURTHER TASKS.

-Reviewer for Mathematical Review.

-Referee for several international journals.

-Supervisor PHD thesis Dottorato Modelli Matematici per l'Ingegneria, Elettromagnetismo e Nanoscienze, Università di Roma Sapienza, (student Ida de Bonis 2011-2015).

-Co-supervisor PHD thesis, Doctorat en Mathematiques appliquees, Universitè de Rouen (France), (student Imen Chourabi, febbraio 2011-2014).

-Supervisor of the fellowship "Degenerazioni e singolarità nelle equazioni alle derivate parziali (student Cristina Pocci, 2015)

Director of the PHD School Modelli e Metodi Matematici per la Tecnologia e la Società of the University of Roma Sapienza (2001-2014).

- Responsible of local research projects for the Italian Research Ministry (2001-2009).

- Responsible of the research project 2011 Processi di diffusione in materiali compositi e strutture irregolari , University of Roma Sapienza.

-President of the Scientific Committee of the Department Scienze di Base e Applicate per l Ingegneria (since 2011).

-Member of the board of the PHD MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS AND NANOSCIENCES, SAPIENZA, ROME.

-PHD course "Elliptic equation: general existence results" (PHD MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS
AND NANOSCIENCES, SAPIENZA, ROME, july 2016).

-PHD course An introduction to the functions of bounded variation and existence
results for elliptic equations with plaplacian principal part (p greater or equal to 1) and singular lower order terms. (PHD MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS AND NANOSCIENCES, SAPIENZA, ROME, march-april 2018).

-Member of several committees for Full Professor, Associated Professor and Researcher (MAT/05).

-Conferences as invited speakers, visiting professor (2007-2019)

1) General lower order terms depending on u and |Du| in some elliptic
and parabolic problem ("Recent Trends in Nonlinear Differential Equations", University of Salamanca, Spain, February 12-16, 2007).

2) Alcuni problemi ellittici e parabolici con termini di ordine inferiore b(x,u,Du) (University of Cassino, Italy, December 10, 2007).

3) Elliptic problems with first order terms having singular behaviour
(University of Valencia, Spain, May 5, 2008).

4) Elliptic problems with lower order terms having singular behaviour
(Rome, Differential Modeling in Applied Sciences, SIMAI 2008).

5) Existence and blow-up results for some evolution equations with nonlinear sources (6th European Conference on Elliptic and Parabolic Problems, Gaeta, Italy, may 2009).

6) Quasilinear singular elliptic equations (Evolution Equations and Materials with Memory Rome, july 12-14, 2010).

7) Quasilinear elliptic equations with singular terms (New function spaces in pde s and harmonic analysis Naples, Italy may 31 june 4, 2011).

8) Some singular elliptic problems: existence and homogenization (Laboratoire Jacques-Louis Lions, Université Paris 6, March 12, 2012).

9) Global existence and blow-up results for some evolution equations with nonlinear lower order terms, (9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, July 1-5, 2012).

10) Singular problems : existence and homogenization results (2012 EDP Normandie, Le Havre October 23-24, 2012)

12) Problems with singularity in the u variable: non negative solutions, existence and homogenization results (Dipartimento di Matematica G. Castelnuovo, Università di Roma Sapienza, february 20, 2014).

13) Existence and homogenization for a singular problem through rough surfaces (8th European Conference on elliptic and parabolic problems, Gaeta, may 26-30, 2014).

14) Elliptic and parabolic problems with singularity in the u variable (10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Madrid, July 7-11, 2014).

15) Problems with singularity in the u variable: nonnegative solutions (Workshop on Calculus of Variation and Partial Differential Equations, Padova, November 13-14, 2014).

16) Homogenization of semilinear elliptic problems singular at u=0 (XXIV Congress on Differential Equations and Application, XIV Congress on Applied Mathematics, Cadiz (Spain), June 8-12 2015).

17) Homogenization of elliptic problems with singular source terms (International Workshop on Partial Differential Equations, Cebu (Philippine), January 10-15 2016).

18) Homogenization of some singular semilinear elliptic problems, (Calculus of Variations and Nonlinear Partial Differential Equations, Benevento, November 16-18 2016).

19) Singular problems in the u variable:laplacian principal part and strong singularity, 1-laplacian principal part and mild singularity, (Roma Caput PDE, Rome, January 23-26, 2017).

20) Problems with singularity in the u variable at u=0 and principal part p-laplacian, p greater or equal to1. (Singular Nonlinear Problems in Calculus of Variations and PDEs , Naples, June 24-26, 2019)

21) Homogenization of semilinear elliptic problems singular at u=0, (9th International Congress on Industrial and Applied Mathematics, Valencia, July 15-19, 2019)

- Invited visiting at Laboratoire d Analyse Numerique de l Universitè Pierre et Marie Curie (Paris VI) (march 2012, april-march 2013, april 2014, april 2015, april 2016, april 2017).

-Organizing activity: workshop and courses (2007-2019)

-Workshop Homogenization: Flows in Collapsing Domains and Composite Materials , Rome, June 25-27, 2012 (Member of the Organizing Committee)

-PHD School Metodi e Modelli Matematici per la Tecnologia e la Società , Department Scienze di Base e Applicate per l Ingegneria , University of Roma Sapienza:
Prof. Serra Capizzano (Università of Insubria) course on Approssimazione matriciale, precondizionamento e sistemi lineari di grandi dimensioni , spring 2009.

-PHD School Metodi e Modelli matematici per la Tecnologia e la Società , Department Scienze di Base e Applicate per l Ingegneria , University of Rome Sapienza:
Prof. Mauro Fabrizio (University of Bologna) course on "Transizioni di fase", november 2009.

-Workshop Elliptic and parabolic equations and systems
Naples, June 18-20, 2008 (Member of the Organizing Committee)

-PHD School Metodi e Modelli Matematici per la Tecnologia e la Società , Department Scienze di Base e Applicate per l Ingegneria , University of Rome Sapienza:
Prof. Renzo Ricca (University of Milano Bicocca) course "A mini-course on structural complexity", march 2008.

-PHD School Metodi e Modelli Matematici per la Tecnologia e la Società , Department Scienze di Base e Applicate per l Ingegneria , University of Rome Sapienza:
Prof. Michel Chipot (University of Zurich): course on "Some issues on elliptic problems", february 2008.