Strong solutions for the Levi curvature equation

Advances in Differential Equations

Volumn 5, Issue 1-3, 2000, Pages 323-342

  Citti, G ^a   Montanari, A ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

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EID: 84887439101     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. M. Bardi and F. Da Lio, On the strong maximum principle for fully nonlinear degenerate elliptic equations, preprint no. 8, 1998, Dipartimento di matematica, Università di Padova
2. E. Bedford and B. Gaveau, Hypersurfaces with bounded Levi form, Indiana Univ. Math. J., 27 (1978), 867-873.
3. E. Bedford and B. Gaveau, Envelopes of holomorphy of certain 2-spheres in C2, Amer. J. of Math., 105 (1983), 975-1009.
4. G. Citti, A comparison theorem for the Levi equation, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, serie IX, IV (1993), 207-212.
5. G. Citti, C∞ regularity of solutions of the Levi equation, Analyse non Linéaire, Annales de l'I. H. P, 15 (1998), 517- 534.
6. X. Cabré and L. Caffarelli, "Fully Nonlinear Elliptic Equations," Amer. Math. Society Providence, 1995.
7. M.G. Crandall, H. Ishii, and P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc., 27 (1992), 1-67.
8. 1-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy, Math. USSR Izves., 19 (1982), 171-188.
9. Z. Slodkowski and G. Tomassini, Weak solutions for the Levi equation and envelope of holomorphy, J. Funct. Anal., 101 (1991), 392-407.
10. G. Tomassini, Geometric properties of solutions of the Levi equation, Ann. di Mat. Pura e Appl., 152 (1988), 331-344.