Papers

  1. A. Bonfiglioli, E. Lanconelli, V. Magnani and M. Scienza. H-convex distributions in stratified groups
    Proc. Amer. Math. Soc., accepted

  2. V. Magnani. An area formula in metric spaces
    Colloq. Math., vol. 124, 275-283, (2011)

  3. R. Korte and V. Magnani. Measure of curves in graded groups
    Illinois J. Math. (2010), accepted

  4. G.P. Leonardi and V. Magnani. Intersections of intrinsic submanifolds in the Heisenberg group
    J. Math. Anal. Appl., vol. 378, n.1, 98–108, (2011)

  5. V. Magnani. Area implies coarea
    Indiana Univ. Math. J., accepted, (2010)

  6. V. Magnani. Contact equations, Lipschitz extensions and isoperimetric inequalities
    Calc. Var., vol. 39, 233-271, (2010)

  7. V. Magnani. Towards Differential Calculus in stratified groups
    J. Aust. Math. Soc., accepted

  8. E. Le Donne and V. Magnani. Measure of submanifolds in the Engel group
    Rev. Mat. Iberoamericana, vol. 26, n.1, 333-346, (2010)

  9. V. Magnani. Blow-up estimates at horizontal points and applications
    J. Geom. Anal., vol. 20, n.3, 705-722, (2010)

  10. V. Magnani. Nonexistence of horizontal Sobolev surfaces in the Heisenberg group
    Proc. Amer. Math. Soc., vol. 138, 1785-1791, (2010)

  11. V. Magnani. Non-horizontal submanifolds and coarea formula
    J. Anal. Math., vol. 106, 95-127, (2008)

  12. V. Magnani and D. Vittone. An intrinsic measure for submanifolds in stratified groups
    J. Reine Angew. Math., vol. 619, 203-232, (2008)

  13. V. Magnani. Lipschitz continuity, Aleksandrov theorem and characterizations for H-convex functions
    Math. Ann., vol. 334, n.1, 199-233, (2006)

  14. V. Magnani. Characteristic points, rectifiability and perimeter measure on stratified groups
    J. Eur. Math. Soc., vol. 8, n.4, 585-609, (2006)

  15. V. Magnani. Blow-up of regular submanifolds in Heisenberg groups and applications
    Cent. Eur. J. Math., vol. 4, n.1, 82-109, (2006)

  16. V. Magnani. Differentiability from representation formula and Sobolev-Poincarè inequality
    Studia Math., vol. 168, n.3, 251-272, (2005)

  17. V. Magnani. The coarea formula for real-valued Lipschitz maps on stratified groups
    Math. Nachr., vol. 278, n.14, 1689-1705, (2005)

  18. V. Magnani. Unrectifiability and rigidity in stratified groups
    Arch. Math., vol. 83, n.6, 568-576, (2004)

  19. V. Magnani. Note on coarea formulae in the Heisenberg group
    Publ. Mat., vol. 48, n.2, 409-422, (2004)

  20. L. Ambrosio and V. Magnani. Weak differentiability of BV functions on stratified groups
    Math. Z., vol. 245, 123-153, (2003)

  21. B. Kirchheim and V. Magnani. A counterexample to metric differentiability
    Proc. Ed. Math. Soc., vol. 46, 221-227, (2003)

  22. V. Magnani. A blow-up theorem for regular hypersurfaces on nilpotent groups
    Manuscripta Math., vol. 110, n.1, 55-76, (2003)

  23. V. Magnani. On a general coarea inequality and applications
    Ann. Acad. Sci. Fenn. Math., vol. 27, 121-140, (2002)

  24. V. Magnani. Differentiability and Area formula on stratified Lie groups
    Houston J. Math., vol. 27, n.2, 297-323, (2001)

Expository papers

  1. V. Magnani. Convexity in Carnot groups
    Partielle Differentialgleichungen, pp 11-16, Oberwolfach, vol. 2. Report 33, (2005)

  2. V. Magnani. Spherical Hausdorff measure of submanifolds in Heisenberg groups
    Ricerche Mat., vol. 54, n.2, 607-613 (2006)