regularity of solutions of the Levi equation
Annales de l'I.H.P. Analyse non linéaire (1998)
- Volume: 15, Issue: 4, page 517-534
- ISSN: 0294-1449
Access Full Article
topHow to cite
topCitti, G.. "$C^\infty $ regularity of solutions of the Levi equation." Annales de l'I.H.P. Analyse non linéaire 15.4 (1998): 517-534. <http://eudml.org/doc/78446>.
@article{Citti1998,
author = {Citti, G.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {freezing technique},
language = {eng},
number = {4},
pages = {517-534},
publisher = {Gauthier-Villars},
title = {$C^\infty $ regularity of solutions of the Levi equation},
url = {http://eudml.org/doc/78446},
volume = {15},
year = {1998},
}
TY - JOUR
AU - Citti, G.
TI - $C^\infty $ regularity of solutions of the Levi equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1998
PB - Gauthier-Villars
VL - 15
IS - 4
SP - 517
EP - 534
LA - eng
KW - freezing technique
UR - http://eudml.org/doc/78446
ER -
References
top- [1] E. Bedford and B. Gaveau, Envelopes of holomorphy of certain 2-spheres in C2, Am. J. of Math., Vol. 105, 1983, pp. 975-1009. Zbl0535.32008MR708370
- [2] G. Citti, C∞ regularity of solutions of a quasilinear equation related to the Levi operator, Ann. Scuola Norm. Sup. Pisa Cl. Sci (4), Vol. 23, 1996, pp. 483-529. Zbl0872.35018MR1440031
- [3] G. Citti and A. Montanari, C∞ regularity of solutions of an equation of Levi's type in R2n+1, preprint.
- [4] G.B. Folland, Subelliptic estimates and function on nilpotent Lie groups, Arkiv f. Mat., Vol. 13, 1975, pp. 161-207. Zbl0312.35026MR494315
- [5] G.B. Folland and E.M. Stein, Estimates for the ∂b Complex and Analysis on the Heisenberg Group, Comm. Pure Appl. Math., Vol. 20, 1974, pp. 429-522. Zbl0293.35012MR367477
- [6] A. Nagel, E.M. Stein and S. Wainger, Balls and metrics defined by vector fields I: Basic properties, Acta Math., Vol. 155, 1985, pp. 103-147. Zbl0578.32044MR793239
- [7] L. Rothschild and E.M. Stein, Hypoelliptic differential operators and nihilpotent Lie groups, Acta Math., Vol. 137, 1977, pp. 247-320. Zbl0346.35030MR436223
- [8] Z. Slodkowski and G. Tomassini, Weak solutions for the Levi equation and Envelope of Holomorphy, J. Funct. Anal., Vol. 101, no. 4, 1991, pp. 392-407. Zbl0744.35015MR1136942
- [9] G. Tomassini, Geometric Properties of Solutions of the Levi Equation, Ann. di Mat. Pura e Appl, Vol. 152, 1988, pp. 331-344. Zbl0681.35017MR980986
- [10] C.J. Xu, Regularity for quasilinear Second order Subelliptic Equations, Comm. Pure Appl. Math., Vol. 45, 1992, pp. 77-96. Zbl0827.35023MR1135924
Citations in EuDML Documents
top- Giovanna Citti, Ermanno Lanconelli, Annamaria Montanari, On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
- Francesca Lascialfari, Annamaria Montanari, Smooth regularity for solutions of the Levi Monge-Ampère equation
- Annamaria Montanari, Hölder a priori estimates for second order tangential operators on CR manifolds
- Ermanno Lanconelli, Nonlinear equations on Carnot groups and curvature problems for CR manifolds
- Ermanno Lanconelli, Strutture subriemanniane in alcuni problemi di Analisi
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.