• E. Le Donne, D. Morbidelli and S. Rigot, Horizontally affine maps on step-two Carnot groups ,  arXiv:2004.08129
  • A. Montanari and D. Morbidelli,  Multiexponential maps in Carnot groups with applications to convexity and differentiability,  arXiv:1908.01224
  • D. Morbidelli, On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets, Publ. Mat. (arXiv:1808.06513)
  • R. Monti, D. Morbidelli,  A Trace theorem for Martinet-type vector fields,  Comm. Contemporary Mathematics. arXiv:1806.07953,
  • R. Monti, D. Morbidelli, John and uniform domains in generalized Siegel boundaries, Potential Analysis arXiv:1805.06791,
  • A. Montanari, D. Morbidelli, On the subRiemannian cut locus in amodel of free two-step Carnot group, Calc. Var. Partial Differential Equations 56 (2017), no. 2, Art. 36 ---   arXiv:1508.00997 
  • A. Montanari, D. Morbidelli, On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups,   J. Math. Anal. Appl., 444 (2016), 1652--1674 ---   arXiv:1508.00997
  • A. Bonfiglioli, A. Montanari and D. Morbidelli, A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory, Annali di Matematica Pura e applicata 195 (2016), 445–458),  arXiv:1408.3707
  • A. Montanari and D. Morbidelli, Step-s involutive families of vector fields, their orbits and the Poincaré inequality, preprint, to appear on  J. Math Pures Appl   http://arxiv.org/abs/1106.2410
  • A. Montanari and D. Morbidelli, A Frobenius-type theorem for singular Lipschitz distributions,  J. Math. Anal. Appl. 399 (2013) 692–700
     http://arxiv.org/abs/1110.4519
  • A. Montanari and D. Morbidelli, Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields, J Geom. Anal. (to appear) http://arxiv.org/abs/1201.5209
  • A. Montanari and D. Morbidelli, Almost exponential maps and integrability results for a class of horizontally regular vector fields, to appear on Potential Anal.   DOI  10.1007/s11118-012-9289-6 http://arxiv.org/abs/1201.5228
  • R. Monti and D. Morbidelli, Pseudohermitian invariants and classification of CR~mappings in generalized ellipsoids, J. Math Soc. Japan  64, 153--179, http://arxiv.org/abs/1004.1922
  • A. Montanari and D. Morbidelli, Nonsmooth Hormander vector fields and their control balls, Trans. Amer. Math. Soc. 364 (2012) 2339-2375. , http://arxiv.org/abs/0812.2369.
  • F. Lascialfari and D. Morbidelli, A boundary value problem for a class of quasilinear ultraparabolic equations, Comm. Partial Differential Equations 23 (1998), 847-868.
  • E. Lanconelli and D. Morbidelli, On the Poincaré inequality for vector fields, Ark. Mat. 38 (2000), 327-342. .
  • D, Morbidelli, Fractional Sobolev norms and structure of Carnot Carathéodory balls for Hörmander vector fields, Studia Math. 139 (2000), 213-244.
  • R. Monti and D. Morbidelli, Some trace theorems for vector fields, Math. Z.  239 (2002),  747--776.
  • A. Montanari and D. Morbidelli, Sobolev and Morrey inequalities for vector fields of step two, Z. Anal. Anwendungen, 21 (2002),  135--157.
  • R. Monti and D. Morbidelli, Regular domains in hopmogeneous groups,  Trans. Amer. Math. Soc. 357 (2005), 2975-3011. 
  • R. Monti and D. Morbidelli, John domains for the control distance of diagonal vector fields, J. Anal. Math. 92 (2004), 259--284. 
  • R. Monti and D. Morbidelli,  The isoperimetric inequality in the Grushin plane,   J. Geom. Anal. 14 (2004), no. 2, 355--368.  
  • R. Monti and D. Morbidelli, Non-tangentially accessible domains for vector fields, Indiana Univ. Math. J. 54 No. 2 (2005), 473-498.
  • A. Montanari and D. Morbidelli, Balls defined by vector fields and the Poincaré inequality, Ann. Inst. Fourier (Grenoble),  54 (2004)  431--452.
  • R. Monti and D. Morbidelli, Kelvin transform for Grushin operators and critical semilinear equations, Duke Math. J. 131 (2006) 167--202.
  • N. Arcozzi, D. Morbidelli, A A global inverse map theorem and biLipschitz maps, Annali Univ. Ferrara Sez 7 Sci Mat 52 (2006) 189--197.
  • R. Monti and D. Morbidelli, Levi umbilical surfaces in complex space, J. Reine Angew. Math. 603, (2007), 113--131.
  • N. Arcozzi and D. Morbidelli, Stability of isometric maps in the Heisenberg group,  Comment. Math. Helv.  83  (2008),   101--141.
  • D. Morbidelli,  The Liouville theorem for conformal maps in diagonal metrics of Grushin-type,  Israel J. Math.  173 (2009), 379--402.
  • R. Monti and D. Morbidelli, Kelvin transform for Grushin operators and critical semilinear equations, Duke Math. J. 131 (2006) 167--202.
  • R. Monti and D. Morbidelli, Positive solutions of a class of anisotropic Yamabe-type equations in R^n,  Proc. Amer. Math. Soc. 136 (2008),  4295--4304.