Curriculum

CURRICULUM VITAE ET STUDIORUM WITH PUBLICATIONS

(last update April 2024)

Education

Degree in Mathematics: University of Calabria, 1987. Grade 110/110 cum laude.

Title of written dissertation: Operatore di composizione su spazi di funzioni sommabili (Composition operator on spaces of summable functions). Supervisors: Prof. Espedito De Pascale and Prof. Giuseppe Marino.

Magister Philosophiae in Functional Analysis: S.I.S.S.A., Scuola Internazionale Superiore di Studi Avanzati in Trieste, 1989. Grade 30/30 cum laude.

Title of written dissertation: Lower Semicontinuity for Certain Integral Functionals on BV. Supervisor: Prof. Gianni Dal Maso.

PhD in Functional Analysis: S.I.S.S.A., Scuola Internazionale Superiore di Studi Avanzati in Trieste, 1992.

Title of written dissertation: Some Lower Semicontinuity and Relaxation Results for Functionals defined on BV.  Supervisor: Prof. Gianni Dal Maso.

Fellowship

Post-doctoral fellowship of C.N.R. (National Council of Researchs) at the Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris VI (two years 1991-1993).

Academic positions

Researcher (1992-2010) at Sapienza University of Rome, (Italy).

Associate Professor (since 2010) at Sapienza University of Rome, (Italy).

Italian National Scientific Qualification (“Abilitazione Scientifica Nazionale”)

Full Professorship: Mathematical Analysis, Probability, and Mathematical Statistics (01/A3 – MAT/05).

Visiting Professor

1) 1 week August 2011 at Worcester Polytechnic Institute, Worcester, MA (U.S.A.) invited by Prof. U. Mosco.

2) 1 week June 2016 at SISSA, Trieste (Italy) invited by Prof. S. Bianchini.

3) 1 week June 2017 at University of Valencia (Spain) invited by Prof. S. Segura de Leon.

4) 1 week April 2018 at University of Valencia (Spain) invited by Prof. J. Mazon Ruiz.

5) 1 week November 2018 at Université Pierre et Marie Curie (Paris VI) invited by Prof. F. Murat.

6)  1 week October 2022 at University of Valencia (Spain) invited by Prof. J. Mazon Ruiz.

Teaching activity

Many basic and advanced courses of Calculus and Mathematical Analysis since 1992 at Faculty of Engineering of Sapienza University of Rome, (Italy).

Member of the Collegio dei Docenti del Dottorato di ricerca (PhD Scientific Committee) in “Matematica per l’Ingegneria, Elettromagnetismo e Nanoscienze” of Sapienza University of Rome since 2012.

A PhD Course for “Dottorato di ricerca in Matematica per l’Ingegneria, Elettromagnetismo e Nanoscienze” of Sapienza University of Rome: An introduction to the functions of bounded variation, 2014.

A PhD Course for “Dottorato di ricerca in Matematica per l’Ingegneria, Elettromagnetismo e Nanoscienze” of Sapienza University of Rome: An introduction to the functions of bounded variation and elliptic problems involving the 1-Laplacian operator, 2017.

A PhD Course for “Dottorato di ricerca in Modelli matematici per l’Ingegneria, Elettromagnetismo e Nanoscienze” of Sapienza University of Rome: Irregular vector fields and divergence theorem, 2023/24.

Former student

1) PhD Thesis in Mathematics of Graziani Daniele: On the lower semicontinuity and relaxation in BV for integral functionals with discontinuous integrands. Rome, 2005/06.

2) Responsibility of Research grant (Assegno di Ricerca) of 23.600 Euro by Univ. La Sapienza 2016 of Francescantonio Oliva (one year July 2017-June 2018).

Research interests

- Calculus of Variations

Variational problems in the space BV of functions of bounded variation. Lower semicontinuity for integral (and supremal) functionals in BV. Relaxation and integral representation of relaxed functional in Sobolev spaces, in weighted Sobolev spaces and in BV. Lower semicontinuity for polyconvex integrals.

- Elliptic equations

Dirichlet forms and degenerate elliptic equations. Asymptotic problems for Dirichlet forms. Elliptic nonlinear equations on unbounded domains.

Dirichlet problems with 1-Laplacian principal part. Dirichlet problems for singular elliptic equations.

- Conservation laws

Applications of the chain rule formula in BV to the conservation laws.

Bounded divergence measure vector fields and conservation laws.

Several seminars and communications in workshops (at 2002)

- Incontro di Lavoro su Questioni di Teoria Geometrica della Misura e di Calcolo delle Variazioni. Levico (Trento), 2002.

- VI Congresso Nazionale SIMAI. Chia (Cagliari), 2002.

- Calculus of Variations in Nonlinear Phenomena. Martina Franca (Ta), 2002.

- Congresso U.M.I. Milano, 2003.

- Incontro di Lavoro su Questioni di Teoria Geometrica della Misura e di Calcolo delle Variazioni. Levico (Trento), 2004.

- The Renato Caccioppoli centenary conference Napoli, 2004.

- Incontro su Calcolo delle Variazioni e Teoria Geometrica della Misura. Lizzanello (Lecce), 2004.

- Incontro di Lavoro su Questioni di Teoria Geometrica della Misura e di Calcolo delle Variazioni. Levico (Trento), 2005.

- Weekend di Calcolo delle Variazioni. Firenze, 2005.

- Incontro di Lavoro su Questioni di Teoria Geometrica della Misura e di Calcolo delle Variazioni. Levico (Trento), 2006.

- XIX Convegno Nazionale di Calcolo delle Variazioni. Levico (Trento), 2009.

- XX Convegno Nazionale di Calcolo delle Variazioni. Levico (Trento), 2010.

- Workshop on Calculus of Variations and Partial Differential Equations. Padova 2014.

- XXV Convegno Nazionale di Calcolo delle Variazioni. Levico (Trento), 2015.

- Incontro di Matematica alla Sapienza, Roma, 2015.

- XX Congresso U.M.I. Siena, 2015.

- Seminario Dip. Castelnuovo, Sapienza Univ. of Roma, 2016.

- Women and Research in Mathematics: the contribution of SISSA. Trieste, 2016.

- Seminar University of Valencia (Spain), June 2017.

- Seminar at University of Trento, October 2017.

- XXVIII Convegno Nazionale di Calcolo delle Variazioni. Levico (Trento), February 2018.

- Geometric Function Theory in Fluid Mechanics. Barcelona (Spain), July 2018.

- XXXI Convegno Nazionale di Calcolo delle Variazioni. Levico (Trento), May 2022.

- Seminar University of Valencia (Spain), October 2022.

- Seminar University of Naples, November 2022.

- Seminar Turin Polytechnic, January 2023.

Organization

· Summer School Functions of bounded variations and some variational problems in Rome at Sapienza University of Rome Lectures by F. Andreu, G. Buttazzo, N. Fusco, J.M. Mazon. July 2005.

· Minisymposium: Differential models involving non-smooth vector fields. Congress ICIAM Valencia (Spain), 15-19 July 2019.

· Minisymposium: New trends in Calculus of Variations. 9th European Congress of Mathematics (9ECM) Sevilla (Spain), 15-19 July 2024.

Services for the Mathematical community

- Peer reviewing of many journals.

- Reviewer for Mathematical Review (American Math. Soc.).

- Member of Researcher Hiring Committee: 2002 University of Pisa, 2004, University of Calabria.

- Member of the "Collegio dei Docenti del Dottorato di ricerca" (PhD Scientific Committee) in “Matematica per l’Ingegneria, Elettromagnetismo e Nanoscienze” of Sapienza University of Rome.

Citations on scientific monographs

- G. Dal Maso: An introduction to Gamma-convergence. Birkhauser, Boston, 1993.

- L. Ambrosio, N. Fusco, D. Pallara: Functions of bounded variation and free discontinuity problems. Oxford University Press, New York, 2000.

- I. Fonseca, G. Leoni: Modern methods in the calculus of variations: Lp spaces. Springer Monographs in Mathematics, Springer, New York, 2007.

Research projects (in which I had managing responsibilities)

· GNAMPA 2013 Project “Leggi di conservazione con flusso discontinuo”.

· GNAMPA 2015 Visiting project for Prof. Sergio Segura De Leon.

· Project Univ. La Sapienza 2016 (10.000 euro): “Modelli singolari e degeneri di diffusione non lineare”.

· Responsibility of Research grant of 23.600 Euro by Sapienza University of Rome 2016.

· GNAMPA 2017 Project “Modelli singolari e degeneri di diffusione non lineare” (1000 euro).

· GNAMPA 2017 Visiting project Prof. Sergio Segura De Leon.

· Visiting Project Sapienza University of Rome 2017 (4.500 euro) Prof. José Mazon Ruiz.

· GNAMPA 2018 Project “Problemi variazionali degeneri e singolari” (4.000 euro).

· Project Sapienza University of Rome 2020 (11.000 euro): "Problemi variazionali singolari e degeneri".

· GNAMPA 2023 Project “Problemi variazionali degeneri” (2.500 euro).

LIST OF PUBLICATIONS

[45] Chiadò Piat Valeria, De Cicco Virginia, Melchor Hernandez Anderson: Relaxation for degenerate nonlinear functionals in the onedimensional case. Submitted paper 2024. 

[44] Comi Giovanni E., De Cicco Virginia, Scilla Giovanni: Beyond BV: new pairings and Gauss-Green formulas for measure fields with divergence measure. Submitted paper 2023.

[43] De Cicco Virginia, Serra Cassano Francesco: Relaxation and optimal finiteness domain for degenerate quadratic functionals - one dimensional case. ESAIM: Control, Optim. Calc. Var. 30 (2024) 31 . 

[42] Comi Giovanni E., Crasta Graziano, De Cicco Virginia, Malusa Annalisa: Representation formulas for pairings divergence-measure fields and BV functions. J. Funct. Anal. 286 (2024) no. 1.

[41] Crasta Graziano, De Cicco Virginia: On the variational nature of the Anzellotti pairing. Submitted paper 2022.

[40] De Cicco Virginia, Scilla Giovanni: Lower semicontinuity in GSBD for nonautonomous surface integrals. ESAIM: Control Optim. Calc. Var.  29 (2023) 13.

[39] Crasta Graziano, De Cicco Virginia, Malusa Annalisa: Pairings between bounded divergence-measure vector fields and BV functions. Adv. Calc. Var. 15 (2022), no. 4, 787-810. 

[38] Crasta Graziano, De Cicco Virginia: An extension of the pairing theory between divergence-measure fields and BV functions and applications. J. Funct. Anal. 276 (2019), no. 8, 2605-2635.

[37] De Cicco Virginia, Giachetti Daniela, Oliva Francescantonio, Petitta Francesco: Dirichlet problems for singular elliptic equations with general nonlinearities. Calc. Var. Partial Differential Equations 58 (2019), no. 4.

[36] Crasta Graziano, De Cicco Virginia: Anzellotti's pairing theory and the Gauss-Green theorem. Adv. Math. 343 (2019), 935-970.

[35] De Cicco Virginia, Giachetti Daniela, Segura de Leon Sergio: Elliptic problems involving the 1-laplacian and a singular lower order term. J. London Math. Soc. (2) 99 (2019), no. 2, 349-376.

[34] Crasta Graziano, De Cicco Virginia: On the chain rule formulas for divergences and applications to conservation laws. Nonlinear Analysis, 153 (2017), 275-293.

[33] De Cicco Virginia: Nonautonomous chain rules in BV with Lipschitz dependence. Milan J. Math. 84 (2016), no. 2, 243-267.

[32] De Cicco Virginia: A new nonautonomous chain rule in BV. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27 (2016), 117-125.

[31] Crasta Graziano, De Cicco Virginia, De Philippis Guido, Ghiraldin Francesco: Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness. Arch. Rational Mech. Anal. 221 (2016) 961-985.

[30] De Cicco Virginia: Lower semicontinuity for nonautonomous surface integrals. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), 1-21.

[29] Crasta Graziano, De Cicco Virginia, De Philippis Guido: Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. Comm. Partial Differential Equations 40 (2015), no. 4, 694-726.

[28] Amar Micol, De Cicco Virginia: Lower semicontinuity for polyconvex integrals without coercivity assumptions. Evol. Equ. Control Theory 3 (2014), no. 3, 363–372.

[27] Ambrosio Luigi, Crasta Graziano, De Cicco Virginia, De Philippis Guido: A nonautonomous chain rule in W1,p and BV. Manuscripta Math. 140 (2013), no. 3-4, 461–480.

[26] Crasta Graziano, De Cicco Virginia: A chain rule formula in BV and applications to conservation laws. SIAM J. Math. Anal. 43 (2011), no. 1, 430–456.

[25] De Cicco Virginia, Leone Chiara, Verde Anna: Lower semicontinuity in SBV for integrals with variable growth. SIAM J. Math. Anal. 42 (2010), no. 6, 3112–3128.

[24] Amar Micol, De Cicco Virginia, Fusco Nicola: Lower semicontinuity results for free discontinuity energies. Math. Models Methods Appl. Sci. 20 (2010), no. 5, 707–730.

[23] Amar Micol, De Cicco Virginia, Fusco Nicola: Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. ESAIM: Control, Optim. Calc. Var. 14 (2008), no. 3, 456–477.

[22] Amar Micol, De Cicco Virginia, Marcellini Paolo, Mascolo Elvira: Weak lower semicontinuity for non coercive polyconvex integrals. Adv. Calc. Var. 1 (2008), no. 2, 171–191.

[21] Amar Micol, De Cicco Virginia: Relaxation in BV for a class of functionals without continuity assumptions. NoDEA Nonlinear Differential Equations Appl. 15 (2008), no. 1-2, 25–44.

[20] De Cicco Virginia, Gori Michele: On supremal functionals defined in BV. Ann. Mat. Pura Appl. (4) 186 (2007), no. 4, 603-620.

[19] Amar Micol, De Cicco Virginia, Fusco Nicola: A relaxation result in BV for integral functionals with discontinuous integrand. ESAIM: Control, Optim. Calc. Var. 13 (2007), no. 2, 396-412.

[18] De Cicco Virginia, Fusco Nicola, Verde Anna: A chain rule formula in BV and application to lower semicontinuity. Calc. Var. Partial Differential Equations 28 (2007), no. 4, 427-447.

[17] Amar Micol, De Cicco Virginia: Quasi-polyhedral approximation of BV-functions. Ricerche Mat. 54 (2005), no. 2, 485-490.

[16] Amar Micol, De Cicco Virginia: A new approximation result for BV-functions. C. R. Math. Acad. Sci. Paris, 340 (2005), no. 10, 735-738.

[15] De Cicco Virginia, Fusco Nicola, Verde Anna: On L1-lower semicontinuity in BV. J. Convex Analysis 12 (2005), no. 1, 173–185.

[14] Dall’Aglio Andrea, De Cicco Virginia, Giachetti Daniela, Puel Jean-Pierre: Existence of bounded solutions for nonlinear elliptic equations in unbounded domains. NoDEA Nonlinear Differential Equations Appl. 11 (2004), no. 4, 431–450.

[13] De Cicco Virginia, Leoni Giovanni: A chain rule in L1(div) and its applications to lower semicontinuity. Calc. Var. Partial Differential Equations 19 (2004), no. 1, 23–51.

[12] De Cicco Virginia: Limits of nonlinear weighted Dirichlet problems in varying domains. Nonlinear Anal. 48 (2002), no. 2, 247–270.

[11] Dal Maso Gianni, De Cicco Virginia: Evans-Vasilesco Theorem in Dirichlet spaces. Rend.  Matematica, Serie VII 19 (1999), 1–15.

[10] De Cicco Virginia, Vivaldi M. Agostina: A Liouville type theorem for weighted elliptic equations. Advances in Math. Sciences Appl. 1 (1999), no. 9, 183–207.

[9] Dal Maso Gianni, De Cicco Virginia, Notarantonio Lino, Tchou Nicoletta: Limits of variational problems for Dirichlet forms in varying domains. J. Math. Pures et Appl. 77 (1998), 89–116.

[8] De Cicco Virginia, Vivaldi M. Agostina: Harnack inequalities for Fuchsian type weighted elliptic equations. Comm. P. D. E. 21 (9 & 10) (1996), 1321–1347.

[7] Braides Andrea, De Cicco Virginia: New lower semicontinuity and relaxation results for functionals defined on BV. Advances in Math. Sciences Appl. 6 (1996), 1–30.

[6] Amar Micol, De Cicco Virginia: Relaxation of quasi-convex integrals of arbitrary order. Proc. Roy. Soc. Edinburgh 124A (1994), 927–946.

[5] Braides Andrea, De Cicco Virginia: Relaxation and G-convergence of quadratic forms in BV (I;Rn). Ann. Univ. Ferrara Sez. VII Sc. Mat. XXXVIII (1992), 145–175.

[4] Amar Micol, De Cicco Virginia: The uniqueness as a generic property for some one-dimensional segmentation problems. Rend. Sem. Mat. Univ. Padova, 88 (1992), 151–172.

[3] De Cicco Virginia: Lower semicontinuity for certain integral functionals on BV. Boll. U.M.I., (7) 5-B (1991), 293–313.

[2] De Cicco Virginia: A lower semicontinuity result for functionals on BV. Ricerche  Matematica, XXXIX, 2 (1990), 293–325.

[1] De Cicco Virginia, Marino Giuseppe: Composition operators on summable functions spaces. Le Matematiche XLIV (1989), no. 1, 3-20.