Alberto Farina 

LAMFA
Faculté des Sciences
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

Curriculum Vitae (Pdf)


                                                                          Publications


[A50] Uniqueness of vortexless Ginzburg-Landau type minimizers in two dimensions, to appear in Calculus
of Variations and Partial Differential Equations, 2011 (with P. Mironescu).

[A49] Stable solutions of elliptic equations on Riemannian manifolds , to appear in Journal of Geometric
Analysis, 2011 (with Y. Sire and E.Valdinoci).

[A48]   Existence and stability of entire solutions to a semilinear fourth order elliptic problem,
to appear in  J. of Differential Equations, 2011 (with E. Berchio, A. Ferrero and F. Gazzola).

[A47]  Liouville Theorems, to appear in Selected Papers of James Serrin, Contemporary Mathematicians,
3 volumes, (2011). Ed. by P. Pucci, V. Radulescu, H. Weinberger, Birkhauser, Basel.

[A46] Partially and globally overdetermined problems of elliptic type, 
to appear in Advances in Nonlinear Analysis, 2012 (with E. Valdinoci).

[A45] A pointwise gradient estimate for solutions of singular and degenerate PDEs in possibly unbounded domains with nonnegative mean curvature,
to appear in Communications on Pure and Applied Analysis, 2011 (with D. Castellaneta and E. Valdinoci).

[A44] Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings,
to appear in Proc. Amer. Math. Soc., 2011 (with Y. Sire and E.Valdinoci).

[A43] Some results on minimizers and stable solutions of a variational problem, to appear in
Ergodic Theory and Dynamical Systems, 2011 (with E. Valdinoci).

[A42] Monotonicity and one-dimensional symmetry for solutions of $ - \Delta_p u = f(u) $ in half-spaces, 
to appear in Calculus of Variations and Partial Differential Equations, 2011 (with L. Montoro and B. Sciunzi).

[A41] Partial regularity of finite Morse index solutions to the Lane-Emden equation,
Journal of Functional Analysis, 261, (2011) 218-232 (with J. Davila and L. Dupaigne).

[A40] Entire solutions of completely coercive quasilinear elliptic equations,
J. of Differential Equations, 250 (2011), 4367-4408 (with  J. Serrin).

[A39] Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications, 
to appear Indiana University Mathematics Journal, 2010 (with E. Valdinoci).

[A38] A pointwise gradient bound for elliptic equations on compact manifolds with nonnegative Ricci curvature,
DCDS-A (Discrete and Continuous Dynamical System - Series A), Vol. 30, No. 4, 2011 (with E. Valdinoci).

[A37] Entire solutions of completely coercive quasilinear elliptic equations, II,
J. of Differential Equations, 250 (2011) 4409-4436 (with  J. Serrin).

[A36] A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature,
Advances in Mathematics 225 (2010), 2808 - 2827 (with E. Valdinoci).

[A35] Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems,
Archive for Rational Mechanics and Analysis, 195 (2010), 1025 - 1058 (with E. Valdinoci).

[A34] Stable solutions of  $- Delta u = f(u)$ in IR^N,
JEMS -Journal of the European Mathematical Society, Volume 12, Issue 4, 2010, pp. 855 - 882 (with L. Dupaigne).

[A33] 1D symmetry for solutions of semilinear and quasilinear elliptic equations,
Trans. of the AMS, Volume 363, Number 2, February 2011, Pages 579 - 609 (with E. Valdinoci).

[A32] On a Poincaré type formula for solutions of singular and degenerate elliptic equations,
Manuscripta Math.,Vol.132, Issue 3 (2010), 335-342 (with B. Sciunzi and E. Valdinoci).

[A31] Overdetermined problems in unbounded domains with Lipschitz singularities,
Rev. Matemtica Iberoamericana 26 (2010), no. 3, 965 - 974 (with E. Valdinoci).

[A30] Liouville Theorems for stable solutions of semilinear elliptic equations with convex nonlinearities,
Nonlinear Analysis: Theory, Methods & Applications Vol.70, Issue 8, 15 April 2009, 2882-2888 (with L. Dupaigne).

[A29] Bernstein and De Giorgi type problems: new results via a geometric approach,
Annali Scuola Normale Superiore di Pisa, Cl.Sci.(5),7,2008 (with B. Sciunzi and E.Valdinoci).

[A28] On the classification of solutions of $ −\Delta u = e^u $  on IR^N : stability outside a compact set and applications,
Proc. Amer. Math. Soc. 137 (2009),1333-1338 (with E.N. Dancer).

[A27] Liouville results for m-Laplace equations of Lane-Emden-Fowler type,
Annales de l’Institut Henri Poincaré (C) Non Linear Analysis, Vol.26, Issue 4, July-August 2009, 1099-1119
(with L. Damascelli, B. Sciunzi and E. Valdinoci).

[A26] Some Liouville-type theorems for elliptic equations and their consequences,
Boletin SEMA, n.45, 2008.

[A25] Liouville-type Theorems for elliptic problems,
Ch. 2, pp.61-116, in Handbook of Differential Equations: Stationary Partial Differential Equations. Vol. 4, 2007,
Ed. by M.Chipot, Elsevier B.V.

[A24] The state of the art for a conjecture of De Giorgi and related problems, Ch. in the book : Recent
Progress on Reaction-Diffusion Systems and Viscosity Solutions, Mars 2009. Edited by H.Ishii, W.-Y.Lin
and Y.Du, World Scientific.

[A23] Geometry of quasiminimal phase transitions,
Calculus of Variations and Partial Differential Equations, Volume 33, Number 1, septembre 2008 (with E. Valdinoci).

[A22] Remarks on an overdetermined boundary value problem,
Calculus of Variations and Partial Differential Equations, Volume 31, Number 3, mars 2008 (with B. Kawohl).

[A21] Stable solutions of $ −\Delta u = e^u $  on IR^N ,
Comptes Rendus Mathmatique,Volume 345, Issue 2, 15 July 2007, Pages 63-66.

[A20] A Liouville property for Ginzburg-Landau systems,
Analysis and Applications, Volume 5, Issue 3 (July 2007), 285-290.

[A19] On the classification of solutions of the Lane-Emden equation on unbounded domains of IR^N ,
 Journal de Mathématiques Pures et Appliquées,Volume 87, Issue 5, May 2007, 537-561.

[A18] Liouville-type results for solutions of  $ −\Delta u = |u|^{p−1}u $ on unbounded domains of IR^N,
Comptes Rendus de l’Académie des Sciences de Paris, 41 (2005), no. 7, 415-418.

[A17] Sym´etrie pour les solutions d’´equations elliptiques : une approche g´eom´etrique,
dans Habilitation à diriger des recherches, Université Paris VI, 2002.

[A16] Two results on entire solutions of Ginzburg-Landau system in higher dimensions,
Journal of Functional Analysis, Vol. 214, Issue 2, p. 386-395. (2004).

[A15] From Ginzburg-Landau to Gross-Pitaevskii, Monatshefte fur Mathematik 139, (2003),265-269.

[A14] Rigidity and one-dimensional symmetry for semilinear elliptic equations in the whole of IR^N and in half spaces,
Advances in Mathematical Sciences and Applications, v.13, no. 1, (2003),65-82.

[A13] One-dimensional symmetry for solutions of quasilinear equations in IR^2,
Bollettino UMI, (8), 6-B, (2003), pp. 685-692.

[A12] Monotonicity and one-dimensional symmetry for the solutions of $ −\Delta u + f(u) = 0 $ in IR^N with possibly discontinuous nonlinearity,
Advances in Mathematical Sciences and Applications, Vol. 11, no. 2 (2001), pp.811-834.

[A11] Qualitative study of radial solutions of the Ginzburg-Landau systems in IR^N, ($N \ge  3$),
Applied Math. Letters, Vol. 13, 7, 2000, pp.59-64 (with M.Guedda).

[A10] Propriétés de monotonie et de symétrie unidimensionnelle pour les solutions de $ −\Delta u + f(u) = 0 $ avec des fonctions
f éventuellement discontinues, Comptes Rendus de l’Académie des Sciences de Paris, t.330, Série I, 2000, pp. 973-978.

[A9] Ginzburg-Landau type elliptic systems in IR^2,
Gakuto International Series Mathematical Sciences and Applic., Vol. 13, Free Boundary Problems : Theory and Applications I, 2000, 54-63.

[A8] Symmetry for solutions of semilinear elliptic equations in IR^N and related conjectures,
Rendiconti Accademia Nazionale dei Lincei - Sez. Matematica e Applic., serie IX, Vol. X, 1999 -Fasc. 4, pp.255-265.

[A7] Symmetry for solutions of semilinear elliptic equations in IR^N and related conjectures,
Ricerche di Matematica: special issue in Memory of E. De Giorgi, Vol. XLVIII, Suppl.1999, pp. 129-154.

[A6] Some remarks on a conjecture of De Giorgi,
Calculus of Variations and Partial Differential Equations, 8, 1999, 3, pp. 233-245.

[A5] Finite-Energy solutions, quantization effects and Liouville-type results for a variant of the Ginzburg-Landau systems in IR^K,
Differential and Integral Equations, Vol.11, 6, November 1998, pp. 875-893.

[A4] Sur les solutions radiales de l'équation $ −\Delta u = u(1 − |u|^2) dans IR^N, ($N \ge  3$),
Comptes Rendus de l’Académie des Sciences de Paris t.325, Série I, 1997, pp.601-604 (with V. Akopian).

[A3] Finite-Energy solutions, quantization effects and Liouville-type results for a variant of the Ginzburg-Landau systems in IR^K,
Comptes Rendus de l’Académie des Sciences de Paris, t.325, Série I, 1997, pp.487-491.

[A2] BV and Nikolskii spaces and applications to the Stefan problem,
Rendiconti Accademia Nazionale dei Lincei - Sez. Matematica e Applic. serie IX, Vol. VI, 1995 - Fasc. 3, pp.143-154.

[A1] Sulle condizioni puntuali perché una funzione infinitamente derivabile sia analitica o polinomiale,
Rendiconti Istituto Lombardo, Scienze Matem. e Applic. Vol. 127 (1993) - Fasc. 1, pp.41-52.


                                          _____________________________________________________________________________________________________________________________



[OS1]  Liouville-type Theorems for elliptic problems,
Ch.2, pp. 61-116, in Handbook of Differential Equations : Stationary Partial Differential Equations. Vol. 4, 2007, Edited by M.Chipot, Elsevier B.V.

[OS2]  The state of the art for a conjecture of De Giorgi and related problems,
Ch. in the book : Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions, Mars 2009. Edited by H.Ishii, W.-Y.Lin and Y.Du, World Scientific.

[OS3] Editor ( with J-C. Saut) of : Proceedings of the Summer School ” Gross-Pitaevskii equations for superfluids and Bose-Einstein condensates ”,
Vienna (Austria), Sept. 2006. Contemporary Mathematics - AMS - Vol.473, 2008.

[OS4] Editor (with E. Valdinoci) of : Symmetry for elliptic PDEs: 30 years after a conjecture of De Giorgi and related problems,
Proceedings of INdAM School, Mai 2009, Rome (Italie). Contemporary Mathematics - AMS, Vol. 528, 2010.



                                                         Activité éditoriale



* Editor ( with J-C. Saut) of : Proceedings of the Summer School ” Gross-Pitaevskii equations for superfluids and Bose-Einstein condensates ”,
Vienna (Austria), Sept. 2006. Contemporary Mathematics - AMS - Vol.473, 2008.

* Editor (with E. Valdinoci) of : Symmetry for elliptic PDEs: 30 years after a conjecture of De Giorgi and related problems,
Proceedings of INdAM School, Mai 2009, Rome (Italie). Contemporary Mathematics - AMS, Vol. 528, 2010.






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