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Bureau C 102 bis
Telephone (+33) (0) 3 22 82 76 05
e-mail:
Alberto.Farina@u-picardie.fr
Publications
1) Sulle
condizioni puntuali perchè una funzione infinitamente derivabile
sia analitica o polinomiale,
A.Farina , Istituto Lombardo, Scienze Matem. e Applic. Vol.
127 , 1993 - Fasc. 1,
pp. 41-52.
2) BV and
Nikolskii spaces and applications to the Stefan problem,
A.Farina , Rendiconti Accademia Nazionale dei Lincei ,
Sez. Matematica e Applic., serie IX , Vol. VI , 1995 -Fasc. 3,
pp.143-154.
3) Finite-Energy
solutions, quantization effects and Liouville-type results for a
variant
of the Ginzburg-Landau
systems in R^N, A.Farina ,
Comptes Rendus de l'Académie
des Sciences de Paris , t. 325 , Série I , 1997, pp. 487
-491.
s de l'Académie des Sciences de Paris , t. 325, Série I ,
1997 , pp. 487- 491.
4) Sur
les solutions radiales de l'équation -Delta u = u ( 1 - | u | ^
2 ) dans R^N (N » 3),
A. Farina , V. Akopian ,
Comptes Rendus de l'Académie des Sciences de Paris , t. 325 ,
Série
I , 1997 , pp. 601-604.
5) Finite-Energy
solutions, quantization effects and Liouville-type results for a
variant
of the Ginzburg-Landau
systems in R^N, A.Farina ,
Differential and Integral
Equations, Vol.11, 6, November 1998, pp. 875-893.
6) Some
Remarks on a Conjecture of De Giorgi, A.Farina ,
Calculus
of Variations and Partial Differential Equations, 8, 1999, 3, pp.
233-245.
7) Symmetry
for solutions of semilinear elliptic equations in R^N and related
conjectures,
A.
Farina, Ricerche di Matematica:
special issue in Memory of E. De Giorgi, Vol. XLVIII, Suppl. 1999,
pp.129-154.
8) Symmetry
for solutions of semilinear elliptic equations in R^N and related
conjectures,
A.
Farina, Rendiconti Accademia Nazionale dei Lincei , Sez. Matematica e
Applic., serie IX, Vol. X , 1999
-Fasc. 4, pp. 255-265
9) Ginzburg-Landau
type elliptic systems in R^2, A.Farina, Gakuto
International
Series Mathematical Sciences and Applic. Vol. 13, Free Boundary
Problems
:
Theory and Applic. I, 2000, pp. 54-63.
10) Propriétés
de monotonie et de symétrie unidimensionnelle pour les solutions
de Delta u + f(u) = 0 avec des
fonction f éventuellement discontinues,
A. Farina,
Comptes Rendus de l'Académie des Sciences de Paris t. 330,
Série
I , 2000 , pp. 973-978.
11) Qualitative study of radial solutions of the Ginzburg-Landau systems in R^N (N » 3), A. Farina, M. Guedda, Applied Math. Letters, Vol. 13, 7, 2000, pp. 59-64.
12) Monotonicity and
one-dimensional symmetry for the solutions of Delta u + f(u) =
0
in R^N with possibly
discontinuous nonlinearity, A.
Farina, Advances
in Mathematical Sciences and Applications, volume 11, no. 2
(2001),
pp.811-834.
13) One-dimensional
symmetry for solutions of quasilinear equations in R^2, A.Farina,
Bollettino UMI, (8) 6-B (2003), pp. 685-692.
14) Rigidity
and one-dimensional symmetry for semilinear elliptic equations in the
whole
of R^N and in half spaces, A.Farina,
Advances in Mathematical Sciences and Applications, volume 13,
no.
1, (2003), pp. 65-82.
15) From
Ginzburg-Landau to Gross-Pitaevskii, A.Farina,
Monatshefte
für Mathematik, 139, pp. 265-269, (2003).
16) Two
results on entire solutions of Ginzburg-Landau system in higher
dimensions,
A.Farina, Journal of Functional Analysis,Vol. 214, Issue 2,
pp. 386-395, (2004).
17) A Liouville Property for Ginzburg-Landau systems, A. Farina, accepté pour publication dans Houston Journal of Mathematics, 2004.
18) Liouville-type results
for solutions of $ -\Delta u = |u|^{p-1} u$ on unbounded domains of of R^N, Comptes Rendus
de l'Académie des Sciences de Paris, 41 (2005), no. 7,
415-418.
19) On the classification of solutions of
the Lane-Emden equation on unbounded domains of
R^N,
Journal de Mathématiques
Pures et Appliquées, Volume
87, Issue 5, May 2007, Pages 537-561.
20) A Liouville property for Ginzburg-Landau systems,
Analysis and Applications, Volume 5, Issue 3 (July 2007), 285-290.
22) Remarks on an overdetermined boundary value problem,
Calculus of Variations and Partial Differential Equations, Volume 31,
Number 3, mars
2008 (avec B. Kawohl).
23) Geometry of quasiminimal phase
transitions, Calculus of Variations and Partial Differential
Equations, Volume 33, Number 1, septembre 2008 (avec E. Valdinoci).
26) Bernstein and De Giorgi type
problems: new results via a geometric approach, Annali Scuola
Normale Superiore di Pisa, Cl.Sci.(5),7,2008 (avec B. Sciunzi et E.
Valdinoci).
27) On the classification of solutions
of $-\Delta u= e^u$ on R^N :
stability outside compact set and applications,
Proc. Amer. Math. Soc. 137 (2009), 1333-1338 (avec E.N. Dancer).
28) Liouville results for
$m$-Laplace equations of Lane-Emden-Fowler type, sous presse
dans Annales
Institut H. Poincaré - Analyse non linéaire, 2008 (avec
L. Damascelli, B. Sciunzi et E. Valdinoci).
29) Liouville Theorems for stable
solutions of semilinear elliptic equations with convex
nonlinearities, Nonlinear
Analysis -Theory, Methods and Applications, 2009 (avec L. Dupaigne).
30) Some Liouville-type theorems for
elliptic equations and their consequences, Boletin SEMA, n.45,
2008.
31) 1D symmetry for solutions of
semilinear and quasilinear elliptic equations, accepté
pour
publication dans Trans. of the AMS, 2009 (avec E. Valdinoci).
32) Flattening results for elliptic
PDEs in unbounded domains with applications to overdetermined problems,
sous presse dans Archive for Rational Mechanics and Analysis, 2009
(avec E. Valdinoci).
24) Liouville-type Theorems for
elliptic problems, Chapitre 2, pp. 61-116, dans l'ouvrage :
Handbook of
Differential Equations : Stationary Partial Differential Equations.
Vol. 4, 2007, Edited by M.Chipot, Elsevier B.V.
25) The state of the art for a
conjecture of De Giorgi and related problems, Chapitre dans
l'ouvrage :
Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions,
Mai 2008. Edited by H.Ishii, W.-Y.Lin and Y.Du, World
Scientific.
34) Overdetermined problems in unbounded domains with Lipschitz singularities, soumis 2008 (avec E. Valdinoci).
35) Stable solutions of elliptic equations on Riemannian manifolds, soumis 2008 (avec Y. Sire et E Valdinoci).
* Co-éditeur (avec J-C. Saut) de Proceedings of the Summer School " Gross-Pitaevskii equations for superfluids and Bose-Einstein condensates ", Vienne (Autriche), Septembre 2006. Contemporary Mathematics - AMS - Vol.473, 2008.
* Co-éditeur (avec E. Valdinoci) de Proceedings of INdAM School on symmetry for elliptic PDEs:
30 years after a conjecture of De Giorgi and related problems,
INdAM (Istituto Nazionale di Alta Matematica) Rome (Italie), Mai 2009.
A para\^{\i}tre dans Contemporary Mathematics - AMS, 2009.
1) Spazi BV e di Nikolskii e applicazioni
al
problema di Stefan, Laurea in matematica,
Università
di Pavia (Italie) , soutenue le 25- 5-1994.
2) Quelques
résultats
sur les systèmes de Ginzburg-Landau et leurs
généralisations,
Thèse
de doctorat, Ecole polytechnique, soutenue le
18-12-1997.
3) Propriétés qualitatives
de solutions
d'équations et systèmes d'équations
non-linéaires,
Habilitation à diriger des recherches, Paris VI, soutenue le
13-12-2002.
Liens
Séminaire d'analyse appliquée A3
Groupe
de travail analyse appliquée A 3
Dipartimento di Matematica dell'Università di Pavia
Centre de Mathématiques de l'Ecole polytechnique
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie - Paris VI