A. Colesanti, D. Hug and E. Saorin-Gomez A characterization of some mixed volumes vie the Brunn-Minkowski inequality, Journal of Geometric Analysis (2012), pp. 1-28 (electronic version).
A. Colesanti, I. Fragalŕ The first variation of the total mass of log-concave functions and related inequalities. Advances in Mathematics 244 (2013), pp. 708-749.
F. Barthe, C. Bianchini, A. Colesanti, Isoperimetry and Stability of Hyperplanes for Product Probability Measures. Annali di Matematica Pura e Applicata 192 (2) (2013), pp. 165-190.
A. Colesanti, P. Manselli, Geometric and isoperimetric properties of sets of positive reach in ${\bf E}^d$. Atti del Seminario Matematico e Fisico dell'Universitŕ di Modena e Reggio Emilia, 57 (2010), 97-113.
A. Colesanti, M. Fimiani, The Minkowski problem for torsional rigidity. Indiana University Mathematical Journal, 59 (2010) n. 3, 1013-1039.
A. Colesanti, E. Saorin-Gomez, Functional inequalities derived from The Brunn-Minkowski inequality for quermassintegrals. J. Convex Anal. 17 (2010), n. 1, 35-49,
L. Ambrosio, A. Colesanti, E. Villa, Outer Minkowski content for some classes of closed sets. Mathematische Annalen, 342 n.4 (2008), 727-748.
A. Colesanti, From the Brunn-Minkowski inequality to a class of Poincare' type inequalities. Communications in Contemporary Mathematics, 10 n. 5 (2008), 765-772.
C. Bianchini, A. Colesanti, A sharp Rogers-Shephard type inequality for the p-difference body of a planar convex body. Proceedings of the American Mathematical Society, 136 n. 7 (2008), 2575-2582.
A. Colesanti, Functional inequalities related to the Rogers-Shephard inequality . Mathematika, 53 (2006), 81-101.
A. Colesanti, P. Cuoghi and P. Salani, Brunn-Minkowski inequality for two functionals involving the p-Laplace operator. Applicable Analysis 85 1-3 (2006), 45-66.
A. Colesanti and D. Hug, Hessian measures of convex functions and applications to area measures. Journal of the London Mathematical Society, (2) 71 (2005), 221-235.
A. Colesanti, Brunn-Minkowski inequalities for variational problems and related problems. Advances in Mathematics, 194 (2005), 105-140.
A. Colesanti and P. Cuoghi, The Brunn-Minkowski inequality for the n-dimensional logarithmic capacity. Potential Analysis 22 (2005), 289-304.
A. Colesanti, On entire solutions of the Hessian equations $S_k(D^2 u)=1$. Quaderno del Dipartimento di Matematica "U. Dini", Universita' degli Studi di Firenze, 2004 (pdf).
A. Colesanti and P. Salani, On the Brunn-Minkowski inequality for the p-capacity of convex bodies. Mathematische Annalen, 327 (2003), pp. 459-479.
A. Colesanti and P. Salani, Quasi-concave envelope of a function and convexity of level sets of solutions to elliptic equations. Mathematische Nachrichten, 258 (2003), pp. 3-15.
A sharp Rogers-Shephard type inequality for the p-difference body of a planar convex body, AMS Meeting - Hoboken, April 14-15, 2007.