Add to ORKGWe derive a monotonicity formula for smooth solutions u of degenerate two dimensional Monge-Ampère equations, and use this to obtain a local Hölder gradient estimate, depending on \\Δu\\Lp for some p > 1
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivativ...
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAM...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized...
This paper concerns Cauchy problem for degenerate nonlinear elliptic equations of the form (1.1) $¥p...
By a variant of the techniques introduced by the first two authors in [DF] to prove that second deri...
Abstract. We obtain boundary Hölder gradient estimates and regularity for solutions to the lineariz...
Abstract. We demonstrate that C2,α estimates for the Monge-Ampère equation depend in a highly nonli...
In view of the applications in the study of regularity properties of minimizers for a continuous mod...
When u is a solution to the equation - ut det D2xu = f with f positive, continuous, and ft satisfyin...
This thesis contains the author's results on singular solutions to the Monge-Ampere equation \det D^...
We study families of complex Monge-Ampère equations, focusing on the case where the cohomology class...
AbstractLet ϕ be a convex function on a convex domain Ω⊂Rn, n⩾1. The corresponding linearized Monge–...
Abstract. Let : Rn! R be a function strictly convex and smooth, and = det D2 is the Monge-Amp `er...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivativ...
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAM...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized...
This paper concerns Cauchy problem for degenerate nonlinear elliptic equations of the form (1.1) $¥p...
By a variant of the techniques introduced by the first two authors in [DF] to prove that second deri...
Abstract. We obtain boundary Hölder gradient estimates and regularity for solutions to the lineariz...
Abstract. We demonstrate that C2,α estimates for the Monge-Ampère equation depend in a highly nonli...
In view of the applications in the study of regularity properties of minimizers for a continuous mod...
When u is a solution to the equation - ut det D2xu = f with f positive, continuous, and ft satisfyin...
This thesis contains the author's results on singular solutions to the Monge-Ampere equation \det D^...
We study families of complex Monge-Ampère equations, focusing on the case where the cohomology class...
AbstractLet ϕ be a convex function on a convex domain Ω⊂Rn, n⩾1. The corresponding linearized Monge–...
Abstract. Let : Rn! R be a function strictly convex and smooth, and = det D2 is the Monge-Amp `er...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivativ...
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAM...