Transcript PUBLICATIONS - Dipartimento di Matematica

CURRICULUM DI MASSIMO GROSSI
Nato a Roma il 4 Luglio 1963.
Sposato con due figli (Alessio e Davide, 2 Giugno '97).
Formazione
Maggio 1987: laurea in Matematica con 110 e lode presso l'Università di Roma "La Sapienza".
Novembre 1987: borsa di Ph.D. presso la SISSA di Trieste (Ph.D. ottenuto a Novembre 1991);
Febbraio 1988: borsista Erasmus presso l'Università di Parigi VI;
Gennaio 1991-Novembre 1994: Ricercatore presso l'Università di Bari;
Giugno 1991-Novembre 1992: Borsista CNR presso l'Università di Parigi VI;
Novembre 1994-Novembre 1998: Ricercatore presso l'Università di Roma "Tor Vergata"
Gennaio 1996-Luglio96: Borsista C.N.R. (NATO SENIOR) presso l'Università di Parigi VI;
Novembre 1998: Professore associato presso l'Università degli Studi di Roma "La Sapienza".
Ho tenuto conferenze su invito presso le seguenti Università
Roma “La Sapienza”, Roma "Tor Vergata", Pisa 1998, Bangalore (India) 1998 , Torino 2001, Pisa
2002, Madrid 2004, Tokyo 2005, Mexico City 2009, Torino 2010, Milano 2010.
Ho tenuto conferenze su invito ai seguenti convegni:
L'Aquila 1990, Erice 1992, L'Aquila 1994, Venezia, 1996, Cortona 1996, Montecatini 1996,
Torino 1997, Trieste 1999, Hong Kong 1999, Catania 2000, Perugia 2000, Cambridge 2001,
Pisa 2002, Santiago del Cile 2002, Milano 2002, Trieste 2003, Oberwolfach 2005, Torino 2005,
Armidale (Australia) 2006, Banff (Canada) 2007 (2 convegni), Cortona 2008, Rio de Janeiro 2008,
Kyoto 2009, Bertinoro 2009, Marsiglia 2009, Bangalore (India) 2010, Oaxaca (Mexico) 2010,
Giessen (Germania) 2011, Nancy 2011, Bangalore (India) 2012, Santiago del Cile, 2012,
Roma 2012, Marsiglia 2012, Osaka 2013, Stoccolma 2013, San Paolo 2013.
Tutorato di Dottorandi
K. Cerqueti (Univ. di Roma “La Sapienza”, 1999), S. Neves (Univ. Di Campinas, 2011).
Organizzazione di Convegni e Seminari
"Giornate Non Lineari" (con F. Pacella), Roma, 2003,
"Some Topics in Nonlinear Analysis and Applications to Partial Differential Equations, A
celebration of Norman Dancer's 60th Birthday”, (con L. Jeanjean e A. Pistoia), Roma 2007.
“Workshop on Nonlinear Differential Equations” (con A. Pistoia), Pienza, 2011.
“Seminario P(n)”, seminario permanente di Analisi non Lineare, Roma 2011-2013.
Attività didattica
1990-94 Università di Bari, (corsi di esercitazioni di Analisi I e II)
1994-98 Università di Roma "Tor Vergata", (corsi di esercitazioni di Analisi I e II)
1998-2013 Università di Roma "La Sapienza", (100 ore frontali per i primi 3 anni e almeno 125 ore
frontali negli anni successivi)
Incarichi organizzativi
Commissione spazi presso la facoltà di Architettura (2002-2003)
Commissione risorse presso la facoltà di Architettura (2005-2007)
PUBLICATIONS
1) M. Grossi, "On some semilinear elliptic equations with critical nonlinearities and mixed
boundary conditions", Rend. di Mat., 10, (1990), 287-302.
2) M.Grossi & F.Pacella, "Positive solutions of nonlinear elliptic equations with critical Sobolev
exponent and mixed boundary conditions", Proc. Roy. Soc. Edin., 116A, (1990), 23-43.
3) M.Grossi, "Existence and multiplicity results in the presence of symmetry for elliptic equations
with critical Sobolev exponent", Nonlin. Anal. T.M.A., 10, (1991), 973-989.
4) M.Grossi, " The mixed boundary value problem for elliptic equations with critical nonlinearity",
Ph.D Thesis, S.I.S.S.A., Trieste, Italy (1991).
5) H.Berestycki, M.Grossi & F.Pacella, "A nonexistence theorem for an equation with critical
Sobolev exponent in the half space", Manus. Math., 77, (1992), 265-281.
6) M.Grossi, "Existence and multiplicity results of an ellipticequation in unbounded domains",
Variational Methods in Nonlinear Analysis", Erice 1992 Ambrosetti & Chang Editors, Pitman
7) M.Grossi, "Multiplicity results for semilinear elliptic equations with lack of compactness", Diff.
Int. Equat., 4, (1993), 807-823.
8) M.Grossi, "An existence result for a semilinear equation in some domains with unbounded
boundary", Ann. Mat. Pura e Appl., CLXVIII, (1995), 17-35.
9) M.Grossi, "A class of solutions for the Neumann problem -Δu+λu=u(N+2)/(N-2)", Duke Math.
Journ, 79, (1995), 309-334.
10) M.Grossi & D.Passaseo, "Nonlinear elliptic Dirichlet problems in exterior domains: the role of
geometry and topology of the domain", Comm. Appl. Nonlin. Anal., 2, (1995), 1-31.
11) A.Dall'Aglio & M.Grossi, "A perturbation theorem for the equation -Δu+λu=up in unbounded
domains", Nonlin. Anal. T.M.A., 28, (1997), 1867-1877.
12) M.Grossi, S. Kesavan, F. Pacella & M Ramaswamy, "Symmetry of positive solutions of some
nonlinear equations", Top. Meth. Nonlin. Anal., 12, (1998), 47-59.
13) L. Damascelli , M. Grossi, & F. Pacella, "Qualitative properties of positive solutions of elliptic
equations in symmetric domains via the maximum principle", Ann. Inst. H. Poincarè 16, (1999),
631-652.
14) M Grossi, "A uniqueness result for a semilinear elliptic equation in symmetric domains", Adv.
Diff. Eqns, 5, (2000), 193-212.
15) M Grossi, "Uniqueness of the least-energy solution for a semilinear Neumann problem ", Proc.
Amer. Math. Soc., 128, (2000), 1665-1772.
16) M Grossi & A. Pistoia, "On the effect of critical points of distance function in superlinear
elliptic problems", Adv. Diff. Eqns., 5, (2000), 1397-1420.
17) M Grossi, A. Pistoia & J. Wei, "Existence of multipeak solutions via nonsmooth critical point
theory", Calc. Var. PDE, 11, (2000), 143-175.
18) M. Grossi, "Some results on a classof nonlinear Schrödinger equations", Math Z. 235, (2000),
4, 687-705.
19) K. Cerqueti & M. Grossi, "Local estimates for a semilinear elliptic equation with Sobolev
critical exponent and applications to a uniqueness result", Nonlin. Diff. Eqns Appl., 8, (2001),
251-283.
20) M. Grossi , P. Magrone & M. Matzeu, "Linking type solutions for elliptic equations with
indefinite nonlinearities up to the critical growth, Disc. Cont. Dyn. Syst., 7, (2001), 703-718.
21) M. Grossi, "Uniqueness Results in Nonlinear Elliptic Problems", IMS Workshop on ReactionDiffusion Systems (Shatin, 1999). Methods Appl. Anal., 8 (2001), 227-244.
22) M. Grossi, "On the number of single-peak solutions for the nonlinear Schrödinger equation",
Ann. Inst. H. Poincarè, 19, (2002), 261-280.
23) M. Grossi, "On the nondegeneracy of the critical points of the Robin function in symmetric
domains", Comptes Rend. Acad. Sci. Paris, 335, (2002), 1-4.
24) M. Grossi, "Existence and multiplicity results for the nonlinear Schrödinger equations" Proceedings of the Third World Congress of Nonlinear Analysts, Part 9 (Catania, 2000), Nonlinear
Anal., 47 (2001), 6009-6017.
25) M. Grossi & R. Molle, "On the shape of the solutions for some semilinear elliptic problem",
Comm. Cont. Math., 5, (2003), 85-100.
26) M. Ben Ayed, K. El Mehdi, M. Grossi & O. Rey, "Single peaked Solutions to a Supercritical
Nonlinear Problem", Comm. Cont. Math., 5, (2003), 1-17.
27) M. Grossi, C.S. Lin & S. Prashanth, A Uniqueness Result for a Neumann Problem Involving the
Critical Sobolev Exponent, Math. Annalen, 325 (2003), 643-664.
28) M. Grossi , F. Pacella & S.L. Yadava, "Symmetry results for perturbed problems and related
questions", Top. Meth. Nonlin. Anal., 21 (2003), 211-226.
29) K. El Mehdi & M. Grossi, "Asymptotic estimates and qualitative properties of an elliptic
problem in dimension two", Adv. Nonlinear Studies, 4, (2004), 15-36.
30) M. Grossi, "A nondegeneracy result for a nonlinear elliptic equation", Nonlin. Diff. Eqns
Appl., 12 (2005), 227-241.
31) Adimurthi & M. Grossi, "Asymptotic estimates for a two dimensional problem with polynomial
nonlinearities", Proc. Amer. Math. Soc., 132, (2004), 1013-1019.
32) F. Gladiali & M. Grossi, "On the curvature of the level sets of solutions of some nonlinear
elliptic equations", Proc. Roy. Soc. Edinburgh Sect. A, 134, (2004), 363-373.
33) F. Gladiali & M. Grossi, "Some results for the Gelfand's problem", Comm. PDE, 29, (2004),
1335-1364.
34) M. Grossi & S. Prashanth, "Local solutions for elliptic problems with exponential nonlinearities
via finite dimensional reduction", Indiana Univ. Math. J., 54, (2005), 383-415.
35) M. Grossi & A. Pistoia, "Locating the peak of ground states of nonlinear Schrödinger
equations", Houston J. Math., 31,(2005), 621-635.
36) P. Esposito, M. Grossi & A. Pistoia, "On the existence of blowing-up solutions for a mean field
equation", Ann. Inst. H. Poincarè, 22, (2005), 227-257.
37) M. Grossi & F. Pacella, "On an eigenvalue problem related to the critical exponent", Math. Z.,
250, (2005), 225-256.
38) M. Grossi, "Asymptotic behaviour of the Kazdan-Warner solution in the annulus", Jour. Diff.
Eqns., 223, (2006), 96-111.
39) M. Grossi & R. Servadei, "Morse index for solutions of the nonlinear Schrödinger equation in a
degenerate setting", Ann. Mat. Pura Appl., 186, 433-453.
40) M. Ben Ayed, K. El Mehdi & M. Grossi, "Asymptotic Behavior of Least Energy Solutions of a
Biharmonic Equation in Dimension Four", Indiana Univ. Math. J., 55, (2006), 1723-1749.
41) Adimurthi, M. Grossi & S. Sanjiban, "Existence and Non-existence of the First Eigenvalue of
the Perturbed Hardy-Rellich Operator", Jour. Funct. Anal., 240, (2006), 36-83.
42) M. Grossi, "Existence of radial solutions for an elliptic problem involving exponential
nonlinearities", Disc. Cont. Dyn. Syst., 21 (2008), 221-232.
43) M. Grossi, "Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities",
Jour. Funct. Anal., 250 (2008), 2995-3036.
44) F. Gladiali & M. Grossi, "Singular limit of radial solutions in an annulus", Asym. Anal., 55
(2007), 73-83.
45) F. Gladiali & M. Grossi, "On the spectrum of a nonlinear planar problem", Ann. Inst. H.
Poincarè, 26 (2009), 191-222.
46) M. Grossi, "Nodal solutions for an elliptic problem involving large nonlinearities", Jour. Diff.
Eqns., 245 (2008), 2917-2938.
47) M. Grossi, "On the shape of solutions of an asymptotically linear problem", Ann. Sc. Norm.
Sup. Pisa, VIII (2009), 429-449.
48) F. Gladiali & M. Grossi, " Existence and multiplicity results for the conformal scalar curvature
equation", Adv. Diff. Eqns. 16 (2011), 801-837.
49) T. Bartsch, M. Clapp, M. Grossi & F. Pacella "Asymptotically radial solutions in expanding
annular domains", Math. Annalen. 352, (2012), 485-515.
50) M. Grossi & F. Takahashi "Nonexistence of multi-bubble solutions to some elliptic equations on
convex domains", Jour. Funct. Anal., 259 (2010), 904-917.
51) F. Gladiali , M. Grossi, F. Pacella & P. N. Srikanth ''Bifurcation and symmetry breaking for a
class of semilinear elliptic equations in an annulus'', Calc. Var. PDE., 40, (2011), 295-317.
52) M. Grossi, H. Ohtsuka & T. Suzuki, "Asymptotic non-degeneracy of the multiple blow-up
solutions to the Gel'fand problem in two space dimensions", Adv. Diff. Eqns, 16, (2011), 145-164.
53) M. Grossi & B. Noris "Positive constrained minimizers for supercritical problems in the ball",
Proc. Amer. Math. Soc., 140 (2012), 2141-2154.
54) F. Gladiali & M. Grossi, "Supercritical elliptic problem with nonautonomous nonlinearities", J.
Diff. Eqns., 253 (2012), 2616-2645.
55) M. Grossi, C. Grumiau & F. Pacella, "Lane Emden problems: asymptotic behavior of low
energy nodal solutions", Ann. Inst. H. Poincarè, 30, (2013), 121–140.
56) M. Clapp, M. Grossi & A. Pistoia, Multiple solutions to the Bahri-Coron problem in domains
with a shrinking hole of positive dimension. Complex Var. Elliptic Eqns, 57 (2012), 1147–1162.
57) M. Grossi & A. Pistoia, "Multiple blow-up phenomena for the sinh-Poisson equation", Arch.
Ration. Mech. Anal., 209 (2013), 287–320.
58) M. Grossi & S. Neves, “Exact multiplicity results for a singularly perturbed Neumann
problem,” Calc. Var. PDE, 48 (2013), 713–737.
59) F. Gladiali, M. Grossi & S. Neves, “Nonradial solutions for the Hénon equation in RN”, Adv.
Math., 249, (2013), 1–36.
60) M. Grossi, C. Grumiau & F. Pacella, "Lane Emden problems with large exponents and singular
Liouville equations", to appear on J. Math. Pures Appl.
61) F. Gladiali , M. Grossi, H. Ohtsuka & T. Suzuki "Morse indices of multiple blow-up solutions to
the two-dimensional Gel'fand problem", to appear in Comm. PDE.
62) M. Grossi, F. Takahashi (2014). On the location of two blow up points on an annulus for the
mean field equation., to appear in Comp. Rend. Acad. Sci. Paris,
63) F. Gladiali, M. Grossi & H. Ohtsuka (2014). On the number of peaks of the eigenfunctions of
the linearized Gel'fand problem, to appear in Bull. London Math. Soc.
64) F. Gladiali, M. Grossi & S. Neves, “Symmetry breaking and Morse index of solutions of
nonlinear elliptic problems in the plane”, preprint.