Levi flat hypersurfaces in C 2 with prescribed boundary : stability
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 9 (1982) no. 4, pp. 529-570.
@article{ASNSP_1982_4_9_4_529_0,
     author = {Bedford, Eric},
     title = {Levi flat hypersurfaces in $C^2$ with prescribed boundary : stability},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {529--570},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 9},
     number = {4},
     year = {1982},
     mrnumber = {693779},
     zbl = {0574.32019},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1982_4_9_4_529_0/}
}
TY  - JOUR
AU  - Bedford, Eric
TI  - Levi flat hypersurfaces in $C^2$ with prescribed boundary : stability
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1982
SP  - 529
EP  - 570
VL  - 9
IS  - 4
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1982_4_9_4_529_0/
LA  - en
ID  - ASNSP_1982_4_9_4_529_0
ER  - 
%0 Journal Article
%A Bedford, Eric
%T Levi flat hypersurfaces in $C^2$ with prescribed boundary : stability
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1982
%P 529-570
%V 9
%N 4
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1982_4_9_4_529_0/
%G en
%F ASNSP_1982_4_9_4_529_0
Bedford, Eric. Levi flat hypersurfaces in $C^2$ with prescribed boundary : stability. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 9 (1982) no. 4, pp. 529-570. http://archive.numdam.org/item/ASNSP_1982_4_9_4_529_0/

[1] H. Alexander, Hulls of deformations in Cn, Trans. Amer. Math. Soc., 266 (1981), pp. 243-257. | MR | Zbl

[2] E. Bedford, Stability of the polynomial hull of T2, Ann. Scuola Norm. Sup. Pisa, 8 (1981), pp. 311-315. | EuDML | Numdam | MR | Zbl

[3] E. Bedford - P. De Bartolomeis, Levi flat hypersurfaces that are not holomorphically flat, Proc. Amer. Math. Soc., 81 (1981), pp. 575-578. | MR | Zbl

[4] E. Bedford - B. Gaveau, Envelopes of holomorphy of certain 2-spheres in C2, Amer. J. Math.. | MR | Zbl

[5] E. Bedford - B. Gaveau, Hypersurfaces with bounded Levi form, Indiana Univ. Math. J., 27 (1978), pp. 867-873. | MR | Zbl

[6] E. Bedford - B.A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math., 37 (1976), pp. 1-44. | EuDML | MR | Zbl

[7] E. Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J., 32 (1965), pp. 1-22. | MR | Zbl

[8] A. Debiard - B. Gaveau, Problème de Dirichlet pour l'équation de Lévi, Bull. Sci. Math., 102 (1978), pp. 369-386. | MR | Zbl

[9] F. Docquier - H. Grauert, Levishes Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten, Math. Ann., 140 (1960), pp. 94-123. | EuDML | MR | Zbl

[10] B. Gaveau, Méthodes de contrôle optimal en analyse complexe. - I: Résolution d'équations de Monge-Ampère, J. Functional Analysis, 25 (1977), pp. 391-411. | MR | Zbl

[11] C.D. Hill - G. Taiani, Families of analytic disks in Cn with boundaries in a prescribed CR submanifold, Ann. Scuola Norm. Sup. Pisa, 5 (1978), pp. 327-380. | Numdam | MR | Zbl

[12] D. Kinderlehrer - L. Nirenberg, Regularity in free boundary problems, Ann. Scuola Norm. Sup. Pisa, 2 (1977), pp. 373-391. | Numdam | MR | Zbl

[13] D. Kinderlehrer - G. Stampacchia, An Introduction to Variational Inequalities and their Applications, Academic Press, New York, 1980. | MR | Zbl

[14] R.S. Lehman, Development of the mapping function at an analytic corner, Pacific J. Math., 7 (1957), pp. 1437-1449. | MR | Zbl

[15] H. Lewy, The nature of the domain governed by different regimes, Atti del Convegno Internazionale Metodi valutativi nella hsicamatematica, Accad. Naz. Lincei (1975), pp. 181-188.

[16] J. Milnor,, Morse Theory, Princeton U. Press, 1963. | MR | Zbl