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### Giovanna Cerami

**Qualifica:**- Professori Ordinari
**SSD:**- MAT/05
**Telefono:**- +390805963514
**Fax:****Email:****Struttura di appartenenza:**

#### Elenco insegnamenti per l'anno accademico 2015/2016

Denominazione Insegnamento | Corso di Studi | Percorso |
---|---|---|

ANALISI MATEMATICA I | INGEGNERIA CIVILE E AMBIENTALE (D.M. 270/04) | comune |

#### Elenco insegnamenti per l'anno accademico 2014/2015

Denominazione Insegnamento | Corso di Studi | Percorso |
---|---|---|

ANALISI MATEMATICA I | INGEGNERIA CIVILE E AMBIENTALE (D.M. 270/04) | AMBIENTALE |

ANALISI MATEMATICA I | INGEGNERIA CIVILE E AMBIENTALE (D.M. 270/04) | CIVILE |

#### Orario di Ricevimento

*Dato non disponibile*

- June 26, 1973 : Laurea in Mathematics,

- Postdoc fellowship at SISSA (1981 Jan-June)

- NATO-CNR fellowship at Univ. of Wisconsin-Madison (1983-84)

- From November 1, 1987 to October 31, 1991 : FULL PROFESSOR of Istituzioni di Matematiche (ssd Mat 05) at Univ. of Calabria.

- From November 1, 1991 FULL PROFESSOR of Mathematical Analysis (ssd Mat 05): i) at University of Palermo until October 31, 2003; ii) at Polytechnical University of Bari from November 1, 2003 until now.

- VISITING PROFESSOR in several Universities:

- Université Paris IX - Dauphine (October 1987);

- E.T.H. Zurich (May 1988);

- International School for Advanced Studies,Trieste(April 1991);

- Université Paris VI - Jussieu (May 1993);

- Chinese University of Hong Kong (March 1997),

- Univ. of Mexico City (May 2005),

- Postech Univ., Pohang, S. Korea (May 2011),

- Tsinghua Univ. Beijing, P.R. China, (September 2014).

- Professor at I.N.D.A.M. (Italian Institute of High Mathematics) (part time, charged of a course) during the academic year

1998/99.

- Professor at PHD School of Univ.Rome I-La Sapienza during the academic year 1988/89.

- INVITED SPEAKER in several International and National Meetings, among them:

- Journées d'Analyse Nonlinéaire de Villetaneuse - Université de Paris Nord( Dicember 1986);

- College on Variational Problems in Analysis- International Center for Theoretical Physics-Trieste (February 1988);

- Variational Problems - Ecole Normale Supérieure - Paris(June 1988);

- Variational Methods in Nonlinear Analysis - E.Majorana Center, Erice (May 1992),

- Partial Differential Equations - Oberwolfach (BDR), (February 1993);

- II World Congress of Nonlinear Analysts - Atene (July 1996);

- Equazioni Differenziali e Calcolo delle Variazioni-Pisa(September 1986) ;

- Equazioni Differenziali e Calcolo delle VariazioniIsola d'Elba( September 1986 & October 1997);

- II Workshop em Equacoes Diferenciais Nao Lineares -Campinas (Brasil), August 1998;

- Giornate nonlineari - Bologna, November 1999;

- Workshop in Nonlinear Differential equations - Bergamo,(July 2001);

- III Workshop em Equacoes Diferenciais Nao Lineares - Campinas (Brasile)( November 2002);

- International conference in honour of D. G. De Figuereido - Campinas (Brasil)(June 2004);

- Workshop in Nonlinear Differential equations - Como ( September 2006);

- Variational methods }(in honour of A. Marino), Brescia (May 2010);

- Variational and topological methods in nonlinear phenomena (in honour of V. Benci), Cortona ( September 2010);

- Nonlinear Differential Equations, Riemann Int.School of Mathematics, Verbania, September 2010.

-International Conference on Variational Methods (ICVAM) Chern Institute of Math., Nankai Univ. Tianjin (P.R. China),(Maggio 2012);

- Nonlinear Differential Equations, Univ. Federal de Paraiba (Joao Pessoa), (Settembre 2012);

- Workshop on nonlinear P.D.E. and Calculus of Variations, Chern Institute of Math., Nankai Univ. Tianjin (P.R. China), (Settembre 2013);

-Two-day meeting in honor of A. Ambrosetti (Venezia), (Dicembre 2014)

-Critical Point theory and Nonlinear Differential Equations (Canazei-TN) (Settembre 2015);

- RISM 4-Nonlinear Phenomena in Mathematics and Economics (Varese), (Settembre 2015) ,

.

- INVITED LECTURER at Italian and Foreign Universities :

Bari, Bologna, Brescia Catholic Univ., Catania, L'Aquila, Napoli, Rome I-La Sapienza, Rome II-Tor Vergata, Scuola Normale Superiore Pisa, Pisa Univ., Trieste, Seminario Matematico - Milano, S.I.S.S.A. (Trieste), Minzu Univ. Beijing, Université Paris VI, Zurich E.T.H., University of Wisconsin-Madison.

- Member of the committee (in the academic years 1988/89, 1989/90) of a national (italian) competition for a position of full professor of Istituzioni di Matematica;

- Member of the committee (ac. year 2000/2001) of a competition for a position of full professor of Mathematical Analysis at University of Cagliari;

- Member of the committee of a competition for a position of full professor of Mathematical Analysis at University of Naples (2014).

- REFEREE for several international journals of Mathematical Analysis (f.i. Arch. Rat. Mech. Anal., J. Functional Analysis, Calculus of Variations and PDE, Ann. Inst. Poincaré An. Nonlin., J. Differential Eq., J.Math. Analysis, Communications in P.D.E., S.I.A.M. J of Math. An.

etc).

- REFEREE of research projects for the national research program of Chile and Australia.

- Italian COORDINATOR of the joint Italy-Spain research project "Variational and Topological Methods in Nonlinear Analysis and Geometry with Applications"(academic year 2009/2010).

- Organizer and/or member of the Scientific Committee of several scientific international Meetings.

- Director (Main organizer) of International Workshop on Variational Methods in Nonlinear Analysis. E. Majorana Centre for Scientific Culture. April 2005

RESEARCH

The research has been devoted to several questions of Mathematical Analysis, but, mainly, is concerned with nonlinear elliptic partial differential equations of variational type and has given rise to 44 papers published in international journals and, moreover, to a monograph for a course given at I.C.T.P. (Trieste) in 1988.

The research subjects can be summarized as follows (the subject mainly investigated are those denoted by (a) and (b)):

a) Existence and multiplicity of solutions for variational problems with lack of compactness:

i) Nonlinear Partial Differential Equations of elliptic type, considered in all the space or in unbounded domains, whose solutions are stationary states corresponding to solitary wawes in nonlinear equations of Schroedinger type and of Klein-Gordon type,

ii) Nonlinear Partial Differential Equations of elliptic type, having nonlinear part growing in a critical way from the point of vue of the Sobolev embedding and that are related to questions of Differential geometry as the Yamabe problem. In those situations the usual variational tools cannot be applied in a standard way.

b) Existence and multiplicity of positive solutions for singularly perturbed elliptic equations related to the study of mathematical models of chimical reactions, of morphogenesis, of biology (chemotaxis) and of population dynamics.

c) Existence of positive solutions to some free boundary problems that arise in the study of mathematical models for vortex rings in fluid dynamics.

d) Symmetry breaking of solutions for Partial Differential Equations related to the study of reaction-diffusion phenomena.

e) Classical problems of real analysis and measure theory.

- Postdoc fellowship at SISSA (1981 Jan-June)

- NATO-CNR fellowship at Univ. of Wisconsin-Madison (1983-84)

- From November 1, 1987 to October 31, 1991 : FULL PROFESSOR of Istituzioni di Matematiche (ssd Mat 05) at Univ. of Calabria.

- From November 1, 1991 FULL PROFESSOR of Mathematical Analysis (ssd Mat 05): i) at University of Palermo until October 31, 2003; ii) at Polytechnical University of Bari from November 1, 2003 until now.

- VISITING PROFESSOR in several Universities:

- Université Paris IX - Dauphine (October 1987);

- E.T.H. Zurich (May 1988);

- International School for Advanced Studies,Trieste(April 1991);

- Université Paris VI - Jussieu (May 1993);

- Chinese University of Hong Kong (March 1997),

- Univ. of Mexico City (May 2005),

- Postech Univ., Pohang, S. Korea (May 2011),

- Tsinghua Univ. Beijing, P.R. China, (September 2014).

- Professor at I.N.D.A.M. (Italian Institute of High Mathematics) (part time, charged of a course) during the academic year

1998/99.

- Professor at PHD School of Univ.Rome I-La Sapienza during the academic year 1988/89.

- INVITED SPEAKER in several International and National Meetings, among them:

- Journées d'Analyse Nonlinéaire de Villetaneuse - Université de Paris Nord( Dicember 1986);

- College on Variational Problems in Analysis- International Center for Theoretical Physics-Trieste (February 1988);

- Variational Problems - Ecole Normale Supérieure - Paris(June 1988);

- Variational Methods in Nonlinear Analysis - E.Majorana Center, Erice (May 1992),

- Partial Differential Equations - Oberwolfach (BDR), (February 1993);

- II World Congress of Nonlinear Analysts - Atene (July 1996);

- Equazioni Differenziali e Calcolo delle Variazioni-Pisa(September 1986) ;

- Equazioni Differenziali e Calcolo delle VariazioniIsola d'Elba( September 1986 & October 1997);

- II Workshop em Equacoes Diferenciais Nao Lineares -Campinas (Brasil), August 1998;

- Giornate nonlineari - Bologna, November 1999;

- Workshop in Nonlinear Differential equations - Bergamo,(July 2001);

- III Workshop em Equacoes Diferenciais Nao Lineares - Campinas (Brasile)( November 2002);

- International conference in honour of D. G. De Figuereido - Campinas (Brasil)(June 2004);

- Workshop in Nonlinear Differential equations - Como ( September 2006);

- Variational methods }(in honour of A. Marino), Brescia (May 2010);

- Variational and topological methods in nonlinear phenomena (in honour of V. Benci), Cortona ( September 2010);

- Nonlinear Differential Equations, Riemann Int.School of Mathematics, Verbania, September 2010.

-International Conference on Variational Methods (ICVAM) Chern Institute of Math., Nankai Univ. Tianjin (P.R. China),(Maggio 2012);

- Nonlinear Differential Equations, Univ. Federal de Paraiba (Joao Pessoa), (Settembre 2012);

- Workshop on nonlinear P.D.E. and Calculus of Variations, Chern Institute of Math., Nankai Univ. Tianjin (P.R. China), (Settembre 2013);

-Two-day meeting in honor of A. Ambrosetti (Venezia), (Dicembre 2014)

-Critical Point theory and Nonlinear Differential Equations (Canazei-TN) (Settembre 2015);

- RISM 4-Nonlinear Phenomena in Mathematics and Economics (Varese), (Settembre 2015) ,

.

- INVITED LECTURER at Italian and Foreign Universities :

Bari, Bologna, Brescia Catholic Univ., Catania, L'Aquila, Napoli, Rome I-La Sapienza, Rome II-Tor Vergata, Scuola Normale Superiore Pisa, Pisa Univ., Trieste, Seminario Matematico - Milano, S.I.S.S.A. (Trieste), Minzu Univ. Beijing, Université Paris VI, Zurich E.T.H., University of Wisconsin-Madison.

- Member of the committee (in the academic years 1988/89, 1989/90) of a national (italian) competition for a position of full professor of Istituzioni di Matematica;

- Member of the committee (ac. year 2000/2001) of a competition for a position of full professor of Mathematical Analysis at University of Cagliari;

- Member of the committee of a competition for a position of full professor of Mathematical Analysis at University of Naples (2014).

- REFEREE for several international journals of Mathematical Analysis (f.i. Arch. Rat. Mech. Anal., J. Functional Analysis, Calculus of Variations and PDE, Ann. Inst. Poincaré An. Nonlin., J. Differential Eq., J.Math. Analysis, Communications in P.D.E., S.I.A.M. J of Math. An.

etc).

- REFEREE of research projects for the national research program of Chile and Australia.

- Italian COORDINATOR of the joint Italy-Spain research project "Variational and Topological Methods in Nonlinear Analysis and Geometry with Applications"(academic year 2009/2010).

- Organizer and/or member of the Scientific Committee of several scientific international Meetings.

- Director (Main organizer) of International Workshop on Variational Methods in Nonlinear Analysis. E. Majorana Centre for Scientific Culture. April 2005

RESEARCH

The research has been devoted to several questions of Mathematical Analysis, but, mainly, is concerned with nonlinear elliptic partial differential equations of variational type and has given rise to 44 papers published in international journals and, moreover, to a monograph for a course given at I.C.T.P. (Trieste) in 1988.

The research subjects can be summarized as follows (the subject mainly investigated are those denoted by (a) and (b)):

a) Existence and multiplicity of solutions for variational problems with lack of compactness:

i) Nonlinear Partial Differential Equations of elliptic type, considered in all the space or in unbounded domains, whose solutions are stationary states corresponding to solitary wawes in nonlinear equations of Schroedinger type and of Klein-Gordon type,

ii) Nonlinear Partial Differential Equations of elliptic type, having nonlinear part growing in a critical way from the point of vue of the Sobolev embedding and that are related to questions of Differential geometry as the Yamabe problem. In those situations the usual variational tools cannot be applied in a standard way.

b) Existence and multiplicity of positive solutions for singularly perturbed elliptic equations related to the study of mathematical models of chimical reactions, of morphogenesis, of biology (chemotaxis) and of population dynamics.

c) Existence of positive solutions to some free boundary problems that arise in the study of mathematical models for vortex rings in fluid dynamics.

d) Symmetry breaking of solutions for Partial Differential Equations related to the study of reaction-diffusion phenomena.

e) Classical problems of real analysis and measure theory.