Hölder regularity of the solution to the complex Monge-Ampère equation with $$L^p$$ L p density

Author:

Baracco Luca,Khanh Tran Vu,Pinton Stefano,Zampieri Giuseppe

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Bedford, E., Taylor, B.A.: The Dirichlet problem for a complex Monge-Ampère equation. Invent. Math. 37, 1–44 (1976)

2. Blocki, Z.: The complex Monge-Ampère operator in hyperconvex domains. Ann. Scuola Norm. Super. Pisa Cl. Sci. 23, 721–747 (1996)

3. Bremermann, H.J.: On a generalized Dirichlet problem for plurisubharmonic functions and pseudo-convex domains. Characterization of Šilov boundaries. Trans. Am. Math. Soc. 91, 246–276 (1959)

4. Caffarelli, L., Kohn, J.J., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear second-order elliptic equations II. Complex Monge-Ampère equations and uniformly elliptic equations. Commun. Pure Appl. Math. 38, 209–252 (1985)

5. Catlin, D.: Subelliptic estimates for the $$\bar{\partial }$$ ∂ ¯ -Neumann problem on pseudoconvex domains. Ann. Math. 126, 131–191 (1987)

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