C regularity of solutions of the Levi equation

G. Citti

Annales de l'I.H.P. Analyse non linéaire (1998)

  • Volume: 15, Issue: 4, page 517-534
  • ISSN: 0294-1449

How to cite

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Citti, 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

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  1. [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. [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. [3] G. Citti and A. Montanari, C∞ regularity of solutions of an equation of Levi's type in R2n+1, preprint. 
  4. [4] G.B. Folland, Subelliptic estimates and function on nilpotent Lie groups, Arkiv f. Mat., Vol. 13, 1975, pp. 161-207. Zbl0312.35026MR494315
  5. [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. [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. [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. [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. [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. [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

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  1. Giovanna Citti, Ermanno Lanconelli, Annamaria Montanari, On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
  2. Francesca Lascialfari, Annamaria Montanari, Smooth regularity for solutions of the Levi Monge-Ampère equation
  3. Annamaria Montanari, Hölder a priori estimates for second order tangential operators on CR manifolds
  4. Ermanno Lanconelli, Nonlinear equations on Carnot groups and curvature problems for CR manifolds
  5. Ermanno Lanconelli, Strutture subriemanniane in alcuni problemi di Analisi

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