We announce some results concerning the Dirichlet problem for the Levi-equation in . We consider for the sake of simplicity the case .
Si annunciano alcuni risultati ottenuti nello studio del problema di Dirichlet per l'equazione di Levi in considerando per semplicità il caso .
@article{RLIN_1991_9_2_4_277_0,
author = {Zbginiew Slodkowski and Giuseppe Tomassini},
title = {Levi-equation in higher dimensions},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {2},
year = {1991},
pages = {277-279},
zbl = {0765.32011},
mrnumber = {1152633},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1991_9_2_4_277_0}
}
Slodkowski, Zbginiew; Tomassini, Giuseppe. Levi-equation in higher dimensions. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991) pp. 277-279. http://gdmltest.u-ga.fr/item/RLIN_1991_9_2_4_277_0/
[1] - , Envelopes of holomorphy of certain 2-spheres in . Amer. J. Math., 105, 1983, 975-1009. | MR 708370 | Zbl 0535.32008
[2] - , On the envelope of holomorphy of a 2-sphere in . To appear. | MR 1094437 | Zbl 0736.32009
[3] , Méthodes de contrôle optimal en analyse complexe. I. Résolution d'équations de Monge-Ampère. J. Funct. Anal., 25, 1977, 391-411. | MR 457783 | Zbl 0356.35071
[4] - , Elliptic partial differential equations of second order. Grundlehren Math. Wiss., 224, Springer, 1983. | MR 737190 | Zbl 0562.35001
[5] , A Theorem on holomorphic extension of CR-functions. Pacific J. Math., vol. 124, n. 1, 1986, 177-191. | MR 850675 | Zbl 0597.32014
[6] , Local maximum property and q-plurisubharmonic functions in uniform algebras. J. Math. Anal. Appl., 115, 1986, 105-130. | MR 835588 | Zbl 0646.46047
[7] - , Weak solutions for the Levi-equation and envelope of holomorphy. J. Funct. Anal., to appear. | MR 1136942 | Zbl 0744.35015
[8] , Geometric properties of solutions of the Levi equation. Ann Mat. Pura Appl., (IV), vol. 152, 1988, 331-344. | MR 980986 | Zbl 0681.35017