Nato a Roma il , residente in Via S.Erasmo 12, ROMA.

Transcript

1 CURRICULUM BREVE DI LUCIO DAMASCELLI Nato a Roma il , residente in Via S.Erasmo 12, ROMA. POSIZIONI E TITOLI: Professore associato, nel settore disciplinare Mat/05, Analisi Matematica, presso la Facolta' di Ingegneria dell' Universita' di Tor Vergata, Roma dal Confermato in ruolo il Precedentemente: Ricercatore, nel settore disciplinare A02A, Analisi Matematica, presso l'universita' di Tor Vergata, Roma dal Confermato in ruolo il Titolo di Dottore di Ricerca - Universita' di Roma ``La Sapienza'' Borsista Indam ( ) e S.A.S.I.A.M. (1992). Laurea in Matematica con lode - Universita' di Roma ``La Sapienza'' ATTIVITA' DIDATTICA UNIVERSITARIA: A partire dal 1996 ha tenuto ogni anno corsi di Analisi Matematica e Analisi Funzionale presso la facolta' di Ingegneria dell'universita' di Roma II.

2 STUDENTI DI DOTTORATO: Berardino Sciunzi (titolo ottenuto nel 2005) ATTIVITA' DI RICERCA: Ha svolto attivita' di ricerca presso istituzioni scientifiche estere, tra le quali: Laboratoires d'analyse Numerique ( Universit\'e Paris VI) nel periodo 1/1/ /9/1998, Universidad Autonoma de Madrid (maggio 1999), T.I.F.R. Centre ( Bangalore,India) (gennaio 2000), Universit\'e de Nice Sophia-Antipolis (Nizza) (gennaio 2001 e marzo 2004). Ha tenuto Conferenze su invito in vari Congressi e Istituzioni universitarie, tra i quali Congressi ''Nonlinear Boundary Value Problems'' in varie sedi italiane, Congressi `` Metodi Variazionali ed Equazioni Differenziali Non Lineari '' in varie sedi italiane, Congressi U.M.I. in varie sedi italiane, ``Singularity in nonlinear elliptic problems'' - Roma, ``A Week End in Nonlinear Analysis'' - Roma, '' Giornate Nonlineari '' - Roma, International Symposium on Variational Methods and Nonlinear Differential Equations on the occasion of Antonio Ambrosetti's 60th birthday - Roma,

3 Fifth European Conference on Elliptic and Parabolic Problems: A special tribute to the work of Haim Brezis - Gaeta, International Workshop on ''Symmetry in nonlinear elliptic PDE's''- Wolfgang Pauli Institute -VIENNA, Spring School in Nonlinear Partial Differential Equations, Louvainla-Neuve; Ecole Normale Superieure-Paris, Universita' di Bologna, Universidad Autonoma de Madrid, T.I.F.R. Centre ( Bangalore,India), Universita' di Perugia, Universita' di Trieste, Universite' de Nice Sophia-Antipolis (Nizza), Universita' di Roma ''La Sapienza'', Wolfgang Pauli Institute -VIENNA, Universita' di Milano. INTERESSI DI RICERCA: [A] Studio di equazioni ellittiche semilineari del tipo $ -\Delta u = f(u) $ (si vedano i lavori [2], [3], [7], [10],[13], [14]).\\

4 [B] Studio di problemi ellittici singolari e degeneri, ad esempio del tipo $ -\Delta _p u = f(u) $ (si vedano i lavori [4],[5],[6],[8],[9],[11],[13], [16],[17], [18], [19], [20]). \\ [C] Studio di problemi ellittici su variet\`a (si vedano i lavori [12], [15]). [D] Studio di sistemi di equazioni ellittiche semilineari (si vedano i lavori [21], [22], [23] ). [1] L.Damascelli, Proprieta' qualitative delle soluzioni positive di una classe di problemi ellittici non lineari, Tesi di Dottorato, Universita' di Roma La Sapienza 1996 [2] L.Damascelli, A remark on the uniqueness of the positive solution for a semilinear elliptic equation, Nonlinear Anal. T.M.A. 26 (1996), [3] L.Damascelli, Some remarks on the method of moving planes, Diff.Int.Eq. 11 (3) (1998), [4] L.Damascelli, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results, Annales Inst. Henry Poincar\'e ANL 15 (4) (1998), [5] L.Damascelli, F.Pacella, Monotonicity and Symmetry of solutions of $p$-laplace equations, $1

5 Rend. Mat. Acc. Lincei, s.9,vol.9, fasc.2 (1998), [6] L.Damascelli, F.Pacella, Monotonicity and Symmetry of solutions of $p$-laplace equations, $1 Ann.Sc.Norm.Sup. Pisa Cl.Sci. (4) Vol. XXVI (1998), [7] L.Damascelli,M.Grossi, F.Pacella, Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle, Annales Inst. Henry Poincar\'e ANL 16 (5) (1999), [8] L.Damascelli, F.Pacella, M.Ramaswamy, Symmetry of ground states of $p$-laplace equations via the moving plane method, Archive Rat.Mech.Anal. 148 (1999), [9] L.Damascelli, F.Pacella, Monotonicity and Symmetry results for $p$-laplace equations and applications, Advances Diff. Eq. 5 (7-9) (2000), [10] L.Damascelli, On the nodal set of the second eigenfunction of the laplacian in symmetric domains in $\R ^N $, Rend. Mat. Acc. Lincei, s. 9, vol. 11, fasc. 3 (2000), [11] L.Damascelli, M.Ramaswamy, Symmetry of $C^1$ solutions of $p$-laplace equations in $R^N$, Advanced Nonlinear Studies 1 (1) (2001), [12] L. Almeida, L. Damascelli, Y. Ge, A few symmetry results for nonlinear elliptic PDE on noncompact manifolds, Annales Inst. Henry Poincar\'e ANL 19 (3) (2002), , [13] L.Damascelli, F.Pacella, M.Ramaswamy, A strong maximum principle for a class of non-positone singular elliptic problems, NoDEA 10 (2003), [14] L. Damascelli, F. Gladiali, Some nonexistence results for positive solutions of elliptic equations in unbounded domains, Rev. Mat. Iberoamericana 20 (1) (2004), 67-86

6 [15] L. Almeida, L. Damascelli, Y. Ge, Regularity of positive solutions of $p$-laplace equations on manifolds and its applications, Lecture notes of Seminario Interdisciplinare di Matematica vol. 3 (2004), Proceedings of the Workshop on "Second order subelliptic equations and applications", Cortona, June 16-22, 2003 [16] L. Damascelli, B. Sciunzi, Regularity, Monotonicity and Symmetry of Positive Solutions of $m$-laplace equations, J. Differential equations 206 (2), (2004), [17] L. Damascelli, B. Sciunzi, Qualitative properties of solutions of $m$-laplace systems, Advanced Nonlinear Studies 5 (2) (2005), [18] L. Damascelli, B. Sciunzi, Harnack inequalities, Maximum and Comparison Principles, and Regularity of Positive solutions of $m$- Laplace equations, Calculus Var. PDE 25 (2), (2006), [19] L. Damascelli, A. Farina, B. Sciunzi, E. Valdinoci, Liouville results for $m$-laplace equations of Lane- Emden-Fowler type, Annales Inst. Henry Poincare' ANL, 26 (4) (2009), [20] L. Damascelli, B. Sciunzi, Liouville results for $m$-laplace equations in a half plane in $\R^2$, Diff. Integral Eq., 23 (5-6), ( 2010) [21] L. Damascelli, F. Pacella, Symmetry results for cooperative elliptic systems via linearization, SIAM J. Math. Anal. 45 (2013), no. 3, [22] L. Damascelli, F. Gladiali, F. Pacella, A symmetry result for semilinear cooperative elliptic systems, Contemporary Mathematics 595 (2013), [23] L. Damascelli, F. Gladiali, F. Pacella, Symmetry results for cooperative elliptic systems in unbounded domains, Indiana Univ. Math. J. 63 No. 3 (2014),

7 [24] L. Damascelli, S. Merchan, L. Montoro, B. Sciunzi, Radial symmetry and applications for a problem involving the $- \Delta_p(\cdot)$ operator and critical nonlinearity in~$\mathbb{r}^n$, Adv. Math., 265 (2014), (inglese) SHORT CURRICULUM LUCIO DAMASCELLI Born in Roma, POSITIONS AND DEGREES: Associate Professor in Mathematical Analysis, Engineering Faculty in Rome University ''Tor Vergata'', since , previously Researcher in the same University since P.H.D. in Rome University ``La Sapienza'' - Master in Mathematics cum laude in Rome University ``La Sapienza'' - TEACHING ACTIVITY: Courses in Mathematical Analysis and Functional Analysis since 1996 in Rome University ''Tor Vergata''. P.H.D. STUDENTS: Berardino Sciunzi (P.H.D. in 2005) RESEARCH ACTIVITY: Research activity in Rome University and other Scientific Institutions, such as Laboratoires d'analyse Numerique ( Universite' Paris VI), Universidad Autonoma de Madrid, T.I.F.R. Centre ( Bangalore, India), Universite' de Nice

8 Sophia-Antipolis. Conferences in several Congresses and in Scientific Institutions, among them Congressi U.M.I. in varie sedi italiane, ``Singularity in nonlinear elliptic problems'' - Roma, ``A Week End in Nonlinear Analysis'' - Roma, '' Giornate Nonlineari '' - Roma, International Symposium on Variational Methods and Nonlinear Differential Equations on the occasion of Antonio Ambrosetti's 60th birthday - Roma, Fifth European Conference on Elliptic and Parabolic Problems: A special tribute to the work of Haim Brezis - Gaeta, International Workshop on ''Symmetry in nonlinear elliptic PDE's''- Wolfgang Pauli Institute -VIENNA, Spring School in Nonlinear Partial Differential Equations, Louvainla-Neuve; Ecole Normale Superieure-Paris, Universita' di Bologna, Universidad Autonoma de Madrid, T.I.F.R. Centre ( Bangalore,India), Universita' di Perugia, Universita' di Trieste, Universite' de Nice Sophia-Antipolis (Nizza), Universita' di Roma ''La Sapienza'',

9 Wolfgang Pauli Institute -VIENNA, Universita' di Milano. RESEARCH INTERESTS [A] Study of elliptic semilinear equations of the type $ -\Delta u = f(u) $ (see [2], [3], [7], [10],[13], [14]).\\ [B] Study of singular and degenerate elliptic problems, e.g. of the type $ -\Delta _p u = f(u) $ (see [4],[5],[6],[8],[9],[11],[13], [16],[17], [18], [19], [20]). \\ [C] Study of elliptic problems on manifolds (see [12], [15]). [1] L.Damascelli, Proprieta' qualitative delle soluzioni positive di una classe di problemi ellittici non lineari, Tesi di Dottorato, Universita' di Roma La Sapienza 1996 [2] L.Damascelli, A remark on the uniqueness of the positive solution for a semilinear elliptic equation, Nonlinear Anal. T.M.A. 26 (1996), [3] L.Damascelli, Some remarks on the method of moving planes, Diff.Int.Eq. 11 (3) (1998), [4] L.Damascelli, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and

10 monotonicity results, Annales Inst. Henry Poincar\'e ANL 15 (4) (1998), [5] L.Damascelli, F.Pacella, Monotonicity and Symmetry of solutions of $p$-laplace equations, $1 Rend. Mat. Acc. Lincei, s.9,vol.9, fasc.2 (1998), [6] L.Damascelli, F.Pacella, Monotonicity and Symmetry of solutions of $p$-laplace equations, $1 Ann.Sc.Norm.Sup. Pisa Cl.Sci. (4) Vol. XXVI (1998), [7] L.Damascelli,M.Grossi, F.Pacella, Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle, Annales Inst. Henry Poincar\'e ANL 16 (5) (1999), [8] L.Damascelli, F.Pacella, M.Ramaswamy, Symmetry of ground states of $p$-laplace equations via the moving plane method, Archive Rat.Mech.Anal. 148 (1999), [9] L.Damascelli, F.Pacella, Monotonicity and Symmetry results for $p$-laplace equations and applications, Advances Diff. Eq. 5 (7-9) (2000), [10] L.Damascelli, On the nodal set of the second eigenfunction of the laplacian in symmetric domains in $\R ^N $, Rend. Mat. Acc. Lincei, s. 9, vol. 11, fasc. 3 (2000), [11] L.Damascelli, M.Ramaswamy, Symmetry of $C^1$ solutions of $p$-laplace equations in $R^N$, Advanced Nonlinear Studies 1 (1) (2001), [12] L. Almeida, L. Damascelli, Y. Ge, A few symmetry results for nonlinear elliptic PDE on noncompact manifolds, Annales Inst. Henry Poincar\'e ANL 19 (3) (2002), ,

11 [13] L.Damascelli, F.Pacella, M.Ramaswamy, A strong maximum principle for a class of non-positone singular elliptic problems, NoDEA 10 (2003), [14] L. Damascelli, F. Gladiali, Some nonexistence results for positive solutions of elliptic equations in unbounded domains, Rev. Mat. Iberoamericana 20 (1) (2004), [15] L. Almeida, L. Damascelli, Y. Ge, Regularity of positive solutions of $p$-laplace equations on manifolds and its applications, Lecture notes of Seminario Interdisciplinare di Matematica vol. 3 (2004), Proceedings of the Workshop on "Second order subelliptic equations and applications", Cortona, June 16-22, 2003 [16] L. Damascelli, B. Sciunzi, Regularity, Monotonicity and Symmetry of Positive Solutions of $m$-laplace equations, J. Differential equations 206 (2), (2004), [17] L. Damascelli, B. Sciunzi, Qualitative properties of solutions of $m$-laplace systems, Advanced Nonlinear Studies 5 (2) (2005), [18] L. Damascelli, B. Sciunzi, Harnack inequalities, Maximum and Comparison Principles, and Regularity of Positive solutions of $m$- Laplace equations, Calculus Var. PDE 25 (2), (2006), [19] L. Damascelli, A. Farina, B. Sciunzi, E. Valdinoci, Liouville results for $m$-laplace equations of Lane- Emden-Fowler type, Annales Inst. Henry Poincare' ANL, 26 (4) (2009), [20] L. Damascelli, B. Sciunzi, Liouville results for $m$-laplace equations in a half plane in $\R^2$, Diff. Integral Eq., 23 (5-6), ( 2010) [21] L. Damascelli, F. Pacella, Symmetry results for cooperative elliptic systems via linearization, SIAM J. Math. Anal. 45 (2013), no. 3,

12 [22] L. Damascelli, F. Gladiali, F. Pacella, A symmetry result for semilinear cooperative elliptic systems, Contemporary Mathematics 595 (2013), [23] L. Damascelli, F. Gladiali, F. Pacella, Symmetry results for cooperative elliptic systems in unbounded domains, Indiana Univ. Math. J. 63 No. 3 (2014), [24] L. Damascelli, S. Merchan, L. Montoro, B. Sciunzi, Radial symmetry and applications for a problem involving the $- \Delta_p(\cdot)$ operator and critical nonlinearity in~$\mathbb{r}^n$, Adv. Math., 265 (2014),