GLOBAL W 2,p ESTIMATES FOR THE MONGE-AMPERE EQUATION
نویسنده
چکیده
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.
منابع مشابه
Pointwise C Estimates at the Boundary for the Monge-ampere Equation
We prove a localization property of boundary sections for solutions to the Monge-Ampere equation. As a consequence we obtain pointwise C2,α estimates at boundary points under appropriate local conditions on the right hand side and boundary data.
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