Pubblicazioni
scientifiche
1.
V.
Martino, A.
Montanari, Lipschitz
continuous viscosity solutions for a class of fully nonlinear equations on Lie
groups, J. Geom. Anal. (to appear) pdf
2.
A. Montanari and D. Morbidelli, A Frobenius-type theorem for
singular Lipschitz distributions. Submitted. http://arxiv.org/pdf/1110.4519.pdf
3.
A. Montanari and D. Morbidelli, Almost exponential maps and integrability
results for a class of horizontally regular vector fields. Submitted http://arxiv.org/pdf/1201.5228v1.pdf
4.
A. Montanari and D. Morbidelli, Generalized Jacobi identities and ball-box theorem for horizontally regular
vector fields, Submitted http://arxiv.org/pdf/1201.5209v1.pdf
5.
A. Montanari and D. Morbidelli, Step-s involutive families of vector fields,
their orbits and the Poincaré inequality.
Submitted http://arxiv.org/pdf/1106.2410.pdf
6.
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
7.
Martino, Vittorio;
Montanari, Annamaria
On the characteristic direction of real hypersurfaces
in Cn+1, and a symmetry
result. Adv. Geom. 10 (2010), no. 3, 371–377.
8.
Martino,
Vittorio; Montanari, Annamaria Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to
symmetry problems, Forum
Math. 22
(2010),
no.
2, 255–267.
9.
Martino,
Vittorio; Montanari, Annamaria Local Lipschitz
continuity of graphs with prescribed Levi mean curvature. NoDEA Nonlinear Differential Equations Appl. 14
(2007),
no.
3-4, 377--390.
10.
Martino, Vittorio; Montanari, Annamaria Graphs with prescribed Levi form trace. Ann. Univ.
Ferrara Sez. VII Sci. Mat. 52 (2006), no. 2, 371--382.
11. F. Da Lio, A. Montanari Existence and Uniqueness of Lipschitz Continuous Graphs with Prescribed Levi Curvature Ann. Inst. H. Poincaré Anal. Non Linéaire. 23 (2006), no. 1, 1--28. [file pdf].
12. A. Montanari, F. Lascialfari The
Levi Monge-Ampère equation: smooth regularity
of strictly Levi convex solutions, J. Geom. Anal. 14 (2004), no. 2, 331--353. [file pdf].
13. A. Montanari, D. Morbidelli. Balls defined by nonsmooth vector fields and the Poincaré inequality, Ann. Inst. Fourier (Grenoble) 54 (2004), no. 2, 431--452. [file pdf].
14. C.E. Gutiérrez, A. Montanari, Maximum and comparison principles for convex functions on the Heisenberg group, to appear in Comm. Partial Differential Equations. [ArXiv preprint]
15. C.E. Gutiérrez, A. Montanari, On the second order derivatives of convex functions on the Heisenberg group, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (2004), no. 2, 349--366. [ArXiv preprint]
16.
A. Montanari,
17. A. Montanari Holder
a priori estimates for second order tangential operators on CR manifolds. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2 (2003), no.
2, 345--378. [file
pdf].
18. A. Montanari On
the regularity of solutions of the prescribed Levi curvature equation in
several complex variables. Comm. Appl. Nonlinear
Anal.
10 (2003), no.
2, 63--71.
19. G. Citti, E. Lanconelli, A. Montanari, Smoothness of
Lipschitz continuous graphs with non vanishing Levi curvature, Acta Math. 188
(2002), no.
1, 87--128.[file ps].
20. A. Montanari, D.Morbidelli Sobolev and Morrey estimates for non-smooth vector fields of step two, Z. Anal. Anwendungen 21 (2002), no. 1, 135--157.[file ps].
21. G. Citti, A. Montanari Regularity properties of solutions of a class of elliptic-parabolic nonlinear Levi type equations, Trans. Amer. Math. Soc. 354 (2002), no. 7, 2819--2848.[file ps].
22.
G. Citti, A. Montanari, 
regularity
of solutions of an equation of Levi's type inR2N+1, Ann. Mat. Pura Appl. (4)
180 (2001), no. 1, 27--58. [file ps].
23. G.
Citti, A. Montanari, Analytic
estimates for solutions of the Levi equation J. Differential Equations 173 (2001), no. 2, 356--389. [file ps].
24. A. Montanari, Real hypersurfaces evolving by Levi curvature: smooth regularity of solutions to the parabolic Levi equation, Comm. Partial Differential Equations 26 (2001), no. 9-10, 1633--1664.[file ps].
25. F.
Lascialfari, A. Montanari, Smooth
regularity for solutions of the Levi Monge-Ampère
equation, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend.
Lincei (9) Mat. Appl. 12
(2001), 115--123 (2002).[file
ps].
26. A. Montanari, Regolarizzazione delle soluzioni classiche e viscose per equazioni di tipo curvatura di Levi, Boll. U.M.I. (8) 2-A Suppl. (1999) pagg. 119-122.
27. G. Citti, A. Montanari, Strong solutions for the Levi curvature equation, Adv. Differential Equations 5 (2000), no. 1-3, 323--342.
28. G. Citti, E. Lanconelli, A. Montanari, On the smoothness of viscosity solutions of the prescribed Levi-curvature equation, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 10 (1999), no. 2, 61--68.
29. G. Citti, A. Montanari, Regularity properties of Levi flat graphs, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 12, 1049--1054.
30. E. Lanconelli, A. Montanari, An Embedding Theorem for non smooth vector fields of step 2, Matematiche (Catania) 54 (1999), suppl., 111--124.
31. A.
Montanari, regularity
of solutions of the Levi equation in R2N+1, Ann. Univ. Ferrara Sez. VII (N.S.) 41 (1996), suppl., 217--225 (1997).
32. A. Montanari, Harnack inequality for totally degenerate Kolmogorov-Fokker-Planck operators, Boll. Un. Mat. Ital. B (7) 10 (1996), no. 4, 903--926.