An eigenvalue problem for the complex Monge–Ampère operator in pseudoconvex domains
N.D. Kutev
Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, BulgariaI.P. Ramadanov
Faculty of Mathematics, Sofia University, Sofia, Bulgaria
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Abstract
A problem of existence and unicity of eigenvalues and corresponding eigenfunctions concerning the complex Monge–Ampère operator and right-hand side of the forme is studied in a bounded strictly pseudoconvex domain of .
Résumé
Un problème d’existence et d’unicité de valeurs propres et de fonctions correspondantes concernant l’opérateur de Monge–Ampère complexe à second membre de la forme est étudié dans un domaine borné strictement pseudoconvexe de .
Cite this article
N.D. Kutev, I.P. Ramadanov, An eigenvalue problem for the complex Monge–Ampère operator in pseudoconvex domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 5, pp. 493–503
DOI 10.1016/S0294-1449(16)30289-X