R. Monti: Some properties of Carnot-Caratheodory balls in the Heisenberg group Rend. Lincei (Accepted Paper) 2000 R. Monti, F. Serra Cassano: Surface measures in Carnot- Caratheodory spaces Calc. Var. Partial Differential Equations Vol. 13, p. 339-376, 2001 R. Monti: Distances, boundaries and surface measures in Carnot-Caratheodory spaces (Phd Thesis) 2001 R. Monti, F. Serra Cassano: Degenerate perturbations of a two-phase transition model J. Convex Anal. Vol. 10, N. 1, p. 1-34, 2003 R. Monti, D. Morbidelli: Trace theorems for vector fields Math. Z. 2003 R. Monti, D. Morbidelli: Isoperimetric inequality in the Grushin plane J. Geom. Anal. (Accepted Paper) 2003 R. Monti: Brunn-Minkowski and isoperimetric inequality in the Heisenberg group Ann. Acad. Sci. Fenn. Math. Vol. 28, p. 99-109, 2003 R. Monti, D. Morbidelli: John domains for the control distance of diagonal vector fields Jour. Anal. Math. (Accepted Paper) 2003 R. Monti, M. Rickly: Geodetically convex sets in the Heisenberg group J. Convex Anal. (Accepted Paper) 2004 Z. Balogh, R. Monti: Accessible domains in the Heisenberg group Proc. Amer. Math. Soc. Vol. 132, p. 97-106, 2004 R. Monti, D. Morbidelli: Non tangentially accesible domains for vector fields Indiana Univ. Math. J. (Accepted Paper) 2004 R. Monti, D. Morbidelli: Regular domains in homogeneous groups Trans. AMS (Accepted Paper) 2004 R. Monti: Sobolev inequalities for weighted gradients Comm. Part. Diff. Eq. (Accepted Paper) 2005 R. Monti, D. Morbidelli: Kelvin transform for Grushin operators and critical semilinear equations Duke Math. J. (Accepted Paper) 2005 R. Monti, D. Morbidelli: Levi umbilical surfaces in complex space Journal fuer die Reine und Angewandte Mathematik (Accepted Paper) 2006 G. P. Leonardi, R. Monti: End-point equations and regularity of sub-Riemannian geodesics GAFA (Accepted Paper) 2006 R. Monti: Heisenberg isoperimetric problem. The axial case Adv. Calc. Var. (Accepted Paper) Vol. 1, N. 1, p. 93-121, 2008 R. Monti, D. Morbidelli: Positive solutions of anisotropic Yamabe--type equations in $R^n$ Proc. AMS 2008 R. Monti, F. Serra Cassano, D. Vittone: A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group Boll. Unione Mat. Ital. (9) Vol. 1, N. 3, p. 709-727, 2008 R. Monti, M. Rickly: Convex isoperimetric sets in the Heisenberg group Ann. Scuola Norm. Sup. Pisa Cl. Sci. (Accepted Paper) 2008 R. Monti, D. Morbidelli: Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids (Submitted Paper) 2010 R. Monti, D. Morbidelli: Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids J. Math. Soc. Jap. (Accepted Paper) 2010 G. Arena, A. O. Caruso, R. Monti: Regularity properties of H-convex sets (Submitted Paper) 2010 Z. Balogh, R. Berger, R. Monti, J. Tyson: Exceptional sets for self-similar fractals in Carnot groups Math. Proc. Cambridge Philos. Soc. Vol. 149, N. 1, p. 147-172, 2010 G. Arena, A. O. Caruso, R. Monti: "Regularity properties of $H$--convex sets" J. Geom. Analysis (Accepted Paper) 2010 Z. Balogh, R. Berger, R. Monti, J. T. Tyson: Exceptional sets for self-similar fractals in Carnot groups Math. Proc. Camb. Phil. Soc 2010 R. Monti, D. Vittone: Sets with finite $\mathbb H$-perimeter and controlled normal Math. Z. Vol. 270, N. 1-2, p. 351-367, 2012 Z. Balogh, R. Monti, J. Tyson: Frequency of Sobolev and quasiconformal dimension distortion J. Math. Pures Appl. 2012 R. Monti: Rearrangements in metric spaces and in the Heisenberg group J. Geom. Anal. (Accepted Paper) 2013 R. Monti: Regularity results for sub-Riemannian geodesics Calc. Var. (Accepted Paper) 2013 R. Monti: A family of nonminimizing abnormal curves Ann. Mat. Pura Appl. (Accepted Paper) 2013 R. Monti: Lipschitz approximation of H-perimeter minimizing boundaries Calc. Var. 2013 R. Monti: The regularity problem for sub-Riemannian geodesics Springer INDAM Series 2013 E. Le Donne, G. P. Leonardi, R. Monti, D. Vittone: Extremal curves in nilpotent Lie groups GAFA Geometric and Functional Analysis Vol. 23, N. 4, p. 1371--1401, 2013 R. Monti: Isoperimetric problem and minimal surfaces in the Heisenberg group (Lecture notes) 2014 V. Franceschi, R. Monti: Isoperimetric Problem in H-type groups and Grushin spaces Revista Matemática Iberoabericana (Accepted Paper) 2014 R. Monti: Minimal surfaces and harmonic functions in the Heisenberg group Nonlinear Analysis Series A: Theory, Methods & Applications (Accepted Paper) 2015 V. Franceschi, G. P. Leonardi, R. Monti: Quantitative isoperimetric inequalities in $\mathbb H ^n$ Calc. Var. Partial Differential Equations Vol. 54, N. 3, p. 3229-3239, 2015 R. Monti, D. Vittone: Height estimate and slicing formulas in the Heisenberg group Analysis and PDE Vol. 8, N. 6, p. 1321-1454, 2015 E. Le Donne, G. P. Leonardi, R. Monti, D. Vittone: Corners in non-equiregular sub-Riemannian manifolds ESAIM Control Optim. Calc. Var. Vol. 21, N. 3, p. 625--634, 2015 M. Fogagnolo, R. Monti, D. Vittone: Variation formulas for H-rectifiable sets Ann. Ac. Sci. Fennicae Vol. 42, N. 1, p. 239--256, 2017 R. Monti, G. Stefani: Improved Lipschitz Approximation of $H$-perimeter minimizing boundaries J. Math. Pures Appl. Vol. 108, N. 3, p. 372--398, 2017 D. Gerosa, R. Monti, D. Morbidelli: A trace theorem for Martinet-type vector fields Cont. Math. (Accepted Paper) 2018 R. Monti, A. Pigati, D. Vittone: On tangent cones to length minimizers in Carnot-Carathéodory spaces SIAM J. Control Optim. 56 (2018) 2018 R. Monti, A. Pigati, D. Vittone: Existence of tangent lines to Carnot-Carathéodory geodesics Calc. Var. Partial Differential Equations 57 2018 R. Monti: The regularity problem for geodesics of the control distance Bruno Pini Mathematical Analysis Seminar, 2018, 9, 137--146 (Proceedings) 2018 E. Le Donne, G. P. Leonardi, R. Monti, D. Vittone: Extremal polynomials in stratified groups Comm. Anal. and Geom. Vol. 26, p. 723757, 2018 E. Battaglia, R. Monti, A. Righini: Stable hypersurfaces in the complex projective space Annali di Matematica Pura ed Applicata (Accepted Paper) 2019 R. Monti, D. Morbidelli: John and uniform domains in generalized Siegel boundaries Potential Analysis (Accepted Paper) 2019 R. Monti, M. Zaccaron: Height estimate and Lipschitz approximation for geodesics in Carnot groups (Submitted Paper) 2019 V. Franceschi, F. Montefalcone, R. Monti: CMC spheres in the Heisenberg group Analysis and Geometry in Metric Spaces (Accepted Paper) 2019 E. Battaglia, F. Montefalcone, R. Monti: Stability of hypersurfaces in the complex hyperbolic space (Submitted Paper) 2019 F. Boarotto, R. Monti, F. Palmurella: Third order open mapping theorems and applications to the end-point map Nonlinearity Vol. 33, N. 9, p. 4539-4567, 2020 V. Franceschi, R. Monti, A. Righini, M. Sigalotti: The isoperimetric problem for regular and crystalline norms in $\mathbb H^1$ Journal of Geometric Analysis 2020 V. Franceschi, R. Monti, A. Socionovo: Mean value formulas on surfaces in Grushin spaces (Preprint) 2023