The Dirichlet problem for a complex Monge-Ampere equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Dirichlet Problem for Degenerate Complex Monge-ampere Equations

The Dirichlet problem for a Monge-Ampère equation corresponding to a nonnegative, possible degenerate cohomology class on a Kähler manifold with boundary is studied. C1,α estimates away from a divisor are obtained, by combining techniques of Blocki, Tsuji, Yau, and pluripotential theory. In particular, C1,α geodesic rays in the space of Kähler potentials are constructed for each test configurat...

متن کامل

A non local Monge-Ampere equation

We introduce a non local analog to the Monge-Ampere operator and show some of its properties. We prove that a global problem involving this operator has C solutions in the full space.

متن کامل

A Localization Property at the Boundary for Monge-ampere Equation

0 < λ ≤ f ≤ Λ in Ω, and for some x ∈ Ω, Sh(x) ⊂⊂ Ω, then Sh(x) is equivalent to an ellipsoid centered at x i.e. kE ⊂ Sh(x)− x ⊂ k−1E for some ellipsoid E of volume h and for a constant k > 0 which depends only on λ,Λ, n. This property provides compactness of sections modulo affine transformations. This is particularly useful when dealing with interior C and W 2,p estimates of strictly convex so...

متن کامل

The Dirichlet Problem for Complex Monge-ampère Equations and Applications

We are concerned with the Dirichlet problem for complex MongeAmpère equations and their applications in complex geometry and analysis. 2000 Mathematical Subject Classification: 35J65, 35J70, 53C21, 58J10, 58J32, 32W20, 32U05, 32U35, 32Q15.

متن کامل

GLOBAL W 2,p ESTIMATES FOR THE MONGE-AMPERE EQUATION

We use a localization property of boundary sections for solutions to the Monge-Ampere equation and obtain global W 2,p estimates under natural assumptions on the domain and boundary data.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1976

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1976-13977-8