A. Farina, B. Kawohl:
Remarks on an overdetermined boundary value problem
Calc. Var. Partial Differential Equations (Accepted Paper) 2007
A. Farina, E. Valdinoci:
Geometry of quasiminimal phase transitions
Calc. Var. Partial Differential Equations (Accepted Paper) 2007
A. Farina, Y. Sire, E. Valdinoci:
Stable solutions of elliptic equations on riemannian manifolds
(Preprint) 2008
A. Farina, B. Sciunzi, E. Valdinoci:
Bernstein and De Giorgi type problems : new results via a geometric approach
Annali della Scuola Normale di Pisa 2008
A. Farina, E. Valdinoci:
A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature
Advances in Mathematics (Accepted Paper) 2009
A. Farina, E. Valdinoci:
1-D symmetry for solutions of semilinear and quasilinear elliptic equations
Trans. of the AMS (Accepted Paper) 2009
A. Farina, L. Montoro, B. Sciunzi:
Monotonicity and one-dimensional symmetry for solutions of - Delta_p(u) = f(u) in half-spaces
Calc. Var. Partial Differential Equations (Accepted Paper) 2010
A. Farina, J. Serrin:
Entire solutions of completely coercive quasilinear elliptic equations, II
Journal of Differential Equations (Accepted Paper) 2010
A. Farina, E. Valdinoci:
Rigidity results for elliptic PDEs with uniform limits : an abstract framework with applications
Indiana University Mathematics Journal (Accepted Paper) 2010
A. Farina, J. Serrin:
Entire solutions of completely coercive quasilinear elliptic equations
Journal of Differential Equations (Accepted Paper) 2010
J. Davila, L. Dupaigne, A. Farina:
Partial regularity of finite Morse index solutions to the Lane-Emden equation
Journal of Functional Analysis (Accepted Paper) 2010
A. Farina, E. Valdinoci:
Flattening Results for Elliptic PDEs in Unbounded Domains with Applications to Overdetermined Problems
Arch. Rational Mech. Anal. Vol. 195, N. 3, p. 1025-1058, 2010
A. Farina, E. Valdinoci:
Some results on minimizers and stable solutions of a variational problem
Ergodic Theory and Dynamical Systems (Accepted Paper) 2011
A. Farina, E. Valdinoci:
A pointwise gradient bound for elliptic equations on compact manifolds with nonnegative Ricci curvature
Discrete and Continuous Dynamical System - Series A (Accepted Paper) 2011
A. Farina, Y. Sire, E. Valdinoci:
Stable solutions of elliptic equations on riemannian manifolds with euclidean coverings
PAMS (Accepted Paper) 2011
A. Farina, E. Valdinoci:
On partially and globally overdetermined problems of elliptic type
American Journal of Mathematics (Accepted Paper) 2012
A. Farina:
On the classification of entire local minimizers of the Ginzburg-Landau equation
Contemporary Mathematics Series (AMS) (Accepted Paper) 2013
A. Farina, E. Valdinoci:
Gradient bounds for anisotropic partial differential equations
Calc. Var. and PDE (Accepted Paper) 2013
A. Farina:
Some symmetry results for entire solutions of an elliptic system arising in phase separation
(Submitted Paper) 2013
L. D'Ambrosio, A. Farina, E. Mitidieri, J. Serrin:
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities
Nonlinear Analysis Vol. 90, p. 135-158, 2013
A. Farina, L. Mari, E. Valdinoci:
Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds
Comm. in PDEs (Accepted Paper) 2013
A. Farina, N. Soave:
Monotonicity and 1-dimensional symmetry for solutions of an elliptic system arising in Bose-Einstein condensation
Archive Ration. Mech. Anal. Vol. 213, p. 287--326, 2014
A. Farina, M. Novaga, A. Pinamonti:
Symmetry results for nonlinear elliptic operators with unbounded drift
NoDEA Nonlinear Differential Equations Appl. Vol. 21, N. 6, p. 869-883, 2014
A. Farina:
Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems
DCDS-A (Discrete and Continuous Dynamical Systems - Series A) (Published) 2015
A. Farina:
A Bernstein-type result for the minimal surface equation
Ann. Sc. Norm. Super. Pisa Cl. Sci. Vol. Vol. XIV, p. 1231-1237, 2015
A. Farina, E. Valdinoci:
1D SYMMETRY FOR SEMILINEAR PDES FROM THE LIMIT INTERFACE OF THE SOLUTION
Comm. in PDE (Accepted Paper ) 2015
A. Farina, E. Valdinoci:
REGULARITY AND RIGIDITY THEOREMS FOR A CLASS OF ANISOTROPIC NONLOCAL OPERATORS
(Submitted Paper) 2016
A. Farina, B. Sciunzi, N. Soave:
Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
Communications in Contemporary Mathematics (Accepted Paper) 2019