Pubblicazioni
scientifiche
1. Ermanno Lanconelli and Annamaria Montanari, On a
class of fully nonlinear PDEs from complex geometry, Contemporary Mathematics, Volume
594, 2013. http://dx.doi.org/10.1090/conm/594/11796
2.
Gutiérrez, Cristian E.;
Lanconelli, Ermanno; Montanari, Annamaria Nonsmooth hypersurfaces with
smooth Levi curvature. Nonlinear
Anal. 76
(2013),
115–121.
3.
V. Martino, A. Montanari, Lipschitz continuous viscosity solutions for a class of
fully nonlinear equations on Lie groups, J. Geom. Anal. DOI 10.1007/s12220-012-9332-2
4. Montanari and D. Morbidelli, A Frobenius-type
theorem for singular Lipschitz distributions. J. Math. Anal. Appl. 399
(2013),
no.
2, 692–700. http://arxiv.org/pdf/1110.4519.pdf
5. A. Montanari and D. Morbidelli, Almost exponential maps and integrability
results for a class of horizontally regular vector fields. Potential Anal. 38
(2013),
no.
2, 611–633. http://arxiv.org/pdf/1201.5228v1.pdf
6. Montanari and D. Morbidelli, Generalized Jacobi identities and ball-box
theorem for horizontally regular vector fields, J. Geom. Anal. DOI 10.1007/s12220-012-9351-z http://arxiv.org/pdf/1201.5209v1.pdf
7. A. Montanari and D. Morbidelli,
Step-s involutive
families of vector fields, their orbits and the Poincaré
inequality. J. Math. Pures Appl. (9) 99
(2013),
no.
4, 375–394. http://arxiv.org/pdf/1106.2410.pdf
8. 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
9. 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.
10. 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.
11. 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.
12. Martino, Vittorio; Montanari, Annamaria Graphs with prescribed Levi form
trace. Ann. Univ.
Ferrara Sez. VII Sci. Mat. 52 (2006), no. 2, 371--382.
13. 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].
14. 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].
15. 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].
16. 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]
17. 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]
18. A. Montanari,
19. 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].
20. 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.
21. 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].
22. 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].
23. 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].
24. 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].
25. G. Citti,
A. Montanari, Analytic estimates for solutions
of the Levi equation J. Differential Equations 173 (2001), no. 2, 356--389. [file ps].
26. 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].
27. 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].
28. 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.
29. G. Citti,
A. Montanari, Strong solutions for the Levi
curvature equation, Adv. Differential
Equations 5 (2000), no. 1-3, 323--342.
30. 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.
31. G. Citti,
A. Montanari, Regularity properties of Levi
flat graphs, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 12, 1049--1054.
32. E. Lanconelli,
A. Montanari, An Embedding Theorem for non
smooth vector fields of step 2, Matematiche (Catania) 54 (1999), suppl., 111--124.
33. 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).
34. A. Montanari,
Harnack inequality for totally
degenerate Kolmogorov-Fokker-Planck operators,
Boll. Un. Mat. Ital. B
(7) 10 (1996), no. 4, 903--926.