An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains

N. D. Kutev; I. P. Ramadanov

Annales de l'I.H.P. Analyse non linéaire (1990)

  • Volume: 7, Issue: 5, page 493-503
  • ISSN: 0294-1449

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Kutev, N. D., and Ramadanov, I. P.. "An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains." Annales de l'I.H.P. Analyse non linéaire 7.5 (1990): 493-503. <http://eudml.org/doc/78236>.

@article{Kutev1990,
author = {Kutev, N. D., Ramadanov, I. P.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence and uniqueness of eigenvalues},
language = {eng},
number = {5},
pages = {493-503},
publisher = {Gauthier-Villars},
title = {An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains},
url = {http://eudml.org/doc/78236},
volume = {7},
year = {1990},
}

TY - JOUR
AU - Kutev, N. D.
AU - Ramadanov, I. P.
TI - An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 5
SP - 493
EP - 503
LA - eng
KW - existence and uniqueness of eigenvalues
UR - http://eudml.org/doc/78236
ER -

References

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  1. [1] I.Ya. Bakel'man and M.A. Krasnosel'skii, Non trivial solutions of the Dirichlet problem for equations with Monge-Ampère operator. DAN S.S.S.R., Vol. 137, 1961, pp. 1007-1010. Zbl0103.06802MR140851
  2. [2] E. Bedford and B.A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math., Vol, 37, 1976, pp. 1-44. Zbl0315.31007MR445006
  3. [3] E. Bedford and B.A. Taylor, The Dirichlet problem for an equation of complex Monge-Ampère type, PartialDiff. Eq. & Geometry (Proc. Park City Conf., 1977), N.Y., 1979. Zbl0413.35017
  4. [4] L. Caffarelli, J.J. Kohn, L. Nirenberg and J. Spruck, The Dirichlet problem for a non-linear second order equations. II. Complex Monge-Ampère and uniformly elliptic equations, Comm. Pure Appl. Math., Vol. 38, 1985, pp. 209-255. Zbl0598.35048MR780073
  5. [5] Ph. Delanoë, Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations, J. Diff. Equations, Vol. 58, 1985, pp. 318-344. Zbl0564.35044MR797314
  6. [6] M.A. Krasnosel'skii, Topological methods in the theory of non-linear integral equations, Moscow, 1956. MR96983
  7. [7] N.D. Koutev and I.P. Ramadanoff, Valeurs propres radiales de l'opérateur complexe de Monge-Ampère, Prépubl. Univ. Poitiers, n° 21, 1986. Zbl0678.35003
  8. [8] G. Laville and I. Ramadanov, On the complex Monge-Ampère equation, DAN S.S.S.R., Vol. 275, 3, 1984, pp. 546-548. Zbl0617.35020MR741224
  9. [9] P.L. Lions, Sur les équations de Monge-Ampère, Manuscripta Math., Vol. 41, 1983, pp. 1-43; Arch. Rat. Mech. Anal., Vol. 89, 1985, pp. 93-122. Zbl0509.35036MR786541
  10. [10] P.L. Lions, Two remarks on Monge-Ampère equations, Ann. Mat. Pura Appl., Vol. 142, 1985, pp. 263-275. Zbl0594.35023MR839040

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