Université de Picardie Jules Verne
                            Alberto Farina Photo
LAMFA
Faculté de Mathématiques et d'Informatique
Université de Picardie Jules Verne
33, rue Saint Leu
80039 Amiens CEDEX 1, France

Bureau C  102 bis
Telephone (+33) (0) 3 22 82 76 05
e-mail: Alberto.Farina@u-picardie.fr


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.


21) Stable solutions of $ -\Delta u = e^u$ on R^N, Comptes Rendus Mathématique, Volume 345, Issue 2, 15 July 2007, Pages 63-66.

      
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).



                                 Publications de livres ou de chapitres de livres



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.


                                               Travaux soumis à publication

33) Stable solutions of $- \Delta u = f(u) $ in R^N , soumis 2008 (avec L. Dupaigne).

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).


                                                         Activité éditoriale




* 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.



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