C ∞ regularity of solutions of a quasilinear equation related to the Levi operator

G. Citti

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 3, page 483-529
  • ISSN: 0391-173X

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Citti, G.. "$C^\infty $ regularity of solutions of a quasilinear equation related to the Levi operator." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.3 (1996): 483-529. <http://eudml.org/doc/84238>.

@article{Citti1996,
author = {Citti, G.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {quasilinear degenerate elliptic equations; Levi curvature},
language = {eng},
number = {3},
pages = {483-529},
publisher = {Scuola normale superiore},
title = {$C^\infty $ regularity of solutions of a quasilinear equation related to the Levi operator},
url = {http://eudml.org/doc/84238},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Citti, G.
TI - $C^\infty $ regularity of solutions of a quasilinear equation related to the Levi operator
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 3
SP - 483
EP - 529
LA - eng
KW - quasilinear degenerate elliptic equations; Levi curvature
UR - http://eudml.org/doc/84238
ER -

References

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  2. [BG] E. Bedford - B. Gaveau, Envelopes of holomorphy of certain 2-spheres in C2, Amer. J. Math.105 (1983), 975-1009. Zbl0535.32008MR708370
  3. [C] G. Citti, A comparison theorem for the Levi equation, Rend. Mat. Acc. Lincei4 (1993), 207-212. Zbl0822.35009MR1250499
  4. [DG] A. Debiard - B. Gaveau, Probléme de Dirichlet pour l'équation de Levi, Bull. Sci. Math.102 (1978), 386-369. Zbl0411.35015MR517769
  5. [F] G.B. Folland, Subelliptic estimates and function on nilpotent Lie groups, Ark. Mat.13 (1975), 161-207. Zbl0312.35026MR494315
  6. [FS] G.B. Folland - E.M. Stein, Estimates for the ∂b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math.20 (1974), 429-522. Zbl0293.35012
  7. [GL] N. Garofalo - E. Lanconelli, Existence and nonexistence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. J.41 (1992), 71-98. Zbl0793.35037MR1160903
  8. [NSW] A. Nagel - E.M. Stein - S. Wainger, Balls and metrics defined by vector fields I: Basic properties, Acta Math.155 (1985), 103-147. Zbl0578.32044MR793239
  9. [RS] L. Rothschild - E.M. Stein, Hypoelliptic differential operators and nihilpotent Lie groups, Acta Math.137 (1977), 247-320. Zbl0346.35030MR436223
  10. [ST] Z. Slodkowski - G. Tomassini, Weak solutions for the Levi equation and envelope of holomorphy, J. Funct. Anal.101 (1991), 392-407. Zbl0744.35015MR1136942
  11. [T] G. Tomassini, Geometric properties of solutions of the Levi equation, Ann. Mat. Pura Appl.152 (1988), 331-344. Zbl0681.35017MR980986

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