I. Fragalà: Rilassamento di Alcuni Problemi Variazionali con Mancanza di Compattezza (Degree Thesis) 1995 G. Bouchitté, G. Buttazzo, I. Fragalà: Mean Curvature of a Measure and Related Variational Problems Ann. Scuola Norm. Sup. Cl. Sci. Vol. XXV, N. 4, p. 179-196, 1997 I. Fragalà, C. Mantegazza: On some Notions of Tangent Space to a Measure Proc. Royal Soc. Edinburgh Vol. 129A, p. 331-342, 1999 G. Bellettini, G. Bouchitté, I. Fragalà: BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals J. Convex Anal. Vol. 6, N. 2, p. 349-366, 2000 G. Bellettini, I. Fragalà: Elliptic Approximations to Prescribed Mean Curvature Surfaces in Finsler Geometry Asymptotic Anal. Vol. 22, p. 87-111, 2000 I. Fragalà: Tangential Calculus and Variational Integrals with Respect to a Measure (Ph.D. Thesis) 2000 G. Bouchitté, G. Buttazzo, I. Fragalà: Convergence of Sobolev Spaces on Varying Manifolds J. Geom. Anal. Vol. 11, N. 3, 2001 G. Buttazzo, L. De Pascale, I. Fragalà: Topological Equivalence of Some Variational Problems Involving Distances Discrete Contin. Dinam. Systems Vol. 7, p. 247-258, 2001 G. Bouchitté, I. Fragalà: Homogenization of thin structures by two-scale method with respect to measures SIAM J. Math. Anal. Vol. 32, N. 6, p. 1198-1226, 2001 G. Crasta, I. Fragalà, F. Gazzola: A sharp upper bound for the torsional rigidity of rods by means of web functions Arch. Rational Mech. Anal. Vol. 164, N. 3, p. 453-469, 2002 A. Braides, G. Buttazzo, I. Fragalà: Riemannian approximation of Finsler metrics Asymptotic Anal. Vol. 31, N. 2, p. 177-187, 2002 G. Bouchitté, G. Buttazzo, I. Fragalà: Bounds for the effective coefficients of homogenized low dimensional structures J. Math. Pures Appl. Vol. 81, N. 5, p. 453-469, 2002 G. Bouchitté, I. Fragalà: Variational theory of weak geometrical structures: the measure method and its applications ``Variational Methods for Discontinuous Structures'', PNLDE, Birkhauser Vol. 51, p. 19-40, 2002 I. Fragalà: Homogenized thin structures: optimal bounds Proceedings of the First HMS2000 International School and Conference on Homogenization'', {\maius GAKUTO} Internat. Ser. Math. Sci. Appl., Tokyo (2003) Vol. 18, 2002 G. Bouchitté, I. Fragalà: Homogenization of elastic thin structures: a measure-fattening approach J. Convex Anal. Vol. 9, N. 2, p. 1-24, 2002 G. Bouchitté, I. Fragalà: Second order energies on thin structures: variational theory and non-local effects Journal of Functional Analysis Vol. 204, p. 228-267, 2003 I. Fragalà, F. Gazzola, B. Kawohl: Existence and nonexistence results for anisotropic quasilinear elliptic equations Ann. Inst. H. Poincaré 2003 I. Fragalà: Lower semicontinuity of $\mu$-quasiconvex integrals ESAIM: COCV Vol. 9, p. 105-124, 2003 I. Fragalà, F. Gazzola, G. Lieberman: Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains Discrete Contin.Dynam. Systems Vol. Supplement, p. 280-286, 2004 G. Bouchitté, I. Fragalà, R. Mahadevan: Homogenization of second order energies on periodic thin structures Calc. Var. Partial Differential Equations Vol. 20, p. 175-211, 2004 G. Buttazzo, A. Davini, I. Fragalà, F. Macià: Optimal Riemannian distances preventing mass transfer J. Reine Angew. Math. (Crelles Journal) Vol. 575, p. 157-171, 2004 G. Crasta, I. Fragalà, F. Gazzola: Some estimates for the torsional rigidity of composite rods Math. Nachr. (Accepted Paper) 2004 G. Crasta, I. Fragalà, F. Gazzola: On a long-standing conjecture by Pólya-Szegö and related topics Zeit. Angew. Math. Phys. Vol. 56, N. 5, p. 763-782, 2005 I. Fragalà, M. S. Gelli, A. Pratelli: Continuity of an optimal transport in Monge problem JMPA Vol. 84, N. 9, p. 1261-1294, 2005 G. Crasta, I. Fragalà, F. Gazzola: On the role of energy convexity in the web function approximation NODEA Vol. 12, N. 1, p. 93-109, 2005 G. Bouchitté, I. Fragalà: Optimality conditions for mass design problems and applications to thin plates Arch. Rat. Mech. Anal. (Accepted Paper) 2006 N. Desenzani, I. Fragalà: Asymptotics of boundary value problems for supercritical Ginzburg-Landau energies Prog. Nonlinear Differential Equations Appl., Birkhauser Vol. 68, p. 75-85, 2006 N. Desenzani, I. Fragalà: Concentration of Ginzburg-Landau energies with ``supercritical'' growth SIAM Journal of Mathematical Analysis Vol. 38, p. 385-413, 2006 G. Bouchitté, I. Fragalà: Modelling thin plates: a reduction dimension analysis for linear problems under constraint (Submitted Paper) 2006 I. Fragalà, F. Gazzola, B. Kawohl: Overdetermined problems with possibly degenerate ellipticity, a geometric approach Math. Zeitschrift Vol. 254, p. 117-132, 2006 G. Buttazzo, L. De Pascale, I. Fragalà: Erratum to: Topological equivalence of some variational problems involving distances Discrete and Continuous Dynamical Systems - Series A Vol. 18, N. 1, p. 219-220, 2007 I. Fragalà, F. Gazzola, J. Lamboley, M. Pierre: Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems Analysis (Munich) Vol. 29, N. 1, p. 85-93, 2009 D. Bucur, I. Fragalà, J. Lamboley: Optimal convex shapes for concave functionals ESAIM Control Optim. Calc. Var. Vol. 18, N. 3, p. 693-711, 2012 G. Bouchitté, I. Fragalà, I. Lucardesi, P. Seppecher: Optimal thin torsion rods and Cheeger sets SIAM J. Math. Anal. Vol. 44, N. 1, p. 483512, 2012 I. Fragalà, F. Gazzola, J. Lamboley: Sharp bounds for the p-torsion of convex planar domains proceedings of the INdAM Workshop "Geometric properties for parabolic and elliptic PDE's" Vol. Springer, p. 97-115, 2013 J. J. Alibert, G. Bouchitté, I. Fragalà, I. Lucardesi: A nonstandard free boundary problem arising in the shape optimization of thin torsion rods Interfaces and Free Boundaries Vol. 15, N. 1, p. 95-119, 2013 D. Bucur, I. Fragalà: A Faber-Krahn inequality for the Cheeger constant of N-gons Journal of Geometric Analysis (Submitted Paper) 2014 G. Bouchitté, I. Fragalà, I. Lucardesi: Shape derivatives for minima of integral functionals Math. Program., Ser. B Vol. 148, p. 111142, 2014 G. Bouchitté, I. Fragalà, I. Lucardesi: A variational method for second order shape derivatives SIAM J. Control Optim. Vol. 54, N. 2, p. 10561084, 2016 D. Bucur, I. Fragalà: On the honeycomb conjecture for Robin Laplacian eigenvalues (Preprint) 2017 D. Bucur, I. Fragalà: Proof of the honeycomb asymptotics for optimal Cheeger clusters (Submitted Paper) 2017 B. Bogosel, D. Bucur, I. Fragalà: Phase field approach to optimal packing problems and related Cheeger clusters (Submitted Paper) 2017 G. Bouchitté, I. Fragalà, I. Lucardesi: Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source Applied Mathematics & Optimization 2017 D. Bucur, I. Fragalà, B. Velichkov, G. Verzini: On the honeycomb conjecture for a class of minimal convex partitions Trans. Amer. Math. Soc. (Accepted Paper) 2017 D. Bucur, I. Fragalà, A. Giacomini: Optimal partitions for Robin Laplacian eigenvalues (preprint) 2018 D. Bucur, I. Fragalà, A. Giacomini: Local minimality results for the Mumford-Shah functional via monotonicity (Submitted Paper) 2018 D. Bucur, I. Fragalà, A. Giacomini: Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results (Submitted Paper) 2018 D. Bucur, I. Fragalà, A. Giacomini: The Multiphase Mumford-Shah Problem (Submitted Paper) 2019 D. Bucur, I. Fragalà: Symmetry results for variational energies on convex polygons (Submitted Paper) 2020 D. Bucur, I. Fragalà: Rigidity for measurable sets (preprint) 2021 B. Bogosel, D. Bucur, I. Fragalà: The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities (preprint) 2023 A. Cesaroni, I. Fragalà, M. Novaga: Lattice tilings minimizing nonlocal perimeters (Submitted Paper) 2023 V. Amato, D. Bucur, I. Fragalà: The geometric size of the fundamental gap (Submitted Paper) 2024