G. Alberti, G. Bouchitté, P. Seppecher: Phase Transition with Line Tension Effect Arch. Rational Mech. Anal. Vol. 144 (1998), N. 1, p. 1-46, 1996 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 G. Alberti, G. Bouchitté, G. Dal Maso: The Calibration Method for the Mumford-Shah Functional C. R. Acad. Sci. Paris Sér. I Math. Vol. 329 (1999), N. 3, p. 249-254, 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. Bouchitté, G. Buttazzo: Characterization of Optimal Shapes and Masses through Monge-Kantorovich Equation (Preprint) 2000 G. Bouchitté, G. Buttazzo, I. Fragalà: Convergence of Sobolev Spaces on Varying Manifolds J. Geom. Anal. Vol. 11, N. 3, 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. 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 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, C. Jimenez, R. Mahadevan: Asymptotique d'un problème de positionnement optimal. C.R. Math. Acad. Sci. Paris Vol. 10, p. 853--858, 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 G. Alberti, G. Bouchitté, G. Dal Maso: The calibration method for the Mumford-Shah functional and free-discontinuity problems Calc. Var. Partial Differential Equations Vol. 16, N. 3, p. 299-333, 2003 E. Acerbi, G. Bouchitté, I. Fonseca: Relaxation of convex functionals: the gap problem Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 20, N. 3, p. 359-390, 2003 G. Bouchitté, G. Buttazzo, L. De Pascale: A p-Laplacian approximation for some mass optimization problems J. Optim. Theory Appl. Vol. 118, N. 1, p. 1-25, 2003 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. Bouchitté, T. Champion, C. Jimenez: Completion of the space of measures in the Kantorovich norm Riv. Mat. Univ. Parma Vol. 7, p. 127--139, 2005 G. Bouchitté, I. Fragalà: Optimality conditions for mass design problems and applications to thin plates Arch. Rat. Mech. Anal. (Accepted Paper) 2006 G. Bouchitté, I. Fragalà: Modelling thin plates: a reduction dimension analysis for linear problems under constraint (Submitted Paper) 2006 E. Acerbi, G. Bouchitté: A General Class of Phase Transition Models with Weighted Interface Energy Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2007 G. Bouchitté, C. Jimenez, R. Mahadevan: A new $L^\infty$ estimate in optimal mass transport Proc. Amer. Math. Soc. Vol. 135, N. 11, p. 3525-3535, 2007 G. Bouchitté, G. Buttazzo, L. De Pascale: The Monge-Kantorovich problem for distributions and applications (Preprint) 2008 G. Bouchitté, C. Jimenez, R. Mahadevan: Asymptotic analysis of a class of optimal location problems JMPA 2011 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 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 G. Bouchitté, I. Fragalà, I. Lucardesi: Shape derivatives for minima of integral functionals Math. Program., Ser. B Vol. 148, p. 111142, 2014 G. Bouchitté, G. Buttazzo: Optimal design problems for Schrödinger operators with noncompact resolvents (Submitted Paper) 2015 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 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 G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale: Dissociating limit in Density Functional Theory with Coulomb optimal transport cost (Submitted Paper) 2018 G. Bouchitté, G. Buttazzo, T. Champion, L. De Pascale: Relaxed multi-marginal costs and quantization effects (Preprint) 2019 K. Bobotowski, G. Bouchitté: Optimal design versus maximal Monge-Kantorovich metrics (Preprint) 2021 U. Bindini, G. Bouchitté: Relaxed many-body optimal transport and related asymptotics (preprint) 2022