By employing the Green function, in this paper we provide a new and elementary proof for the interior regularity of solutions to the Monge-Ampere equation. This proof also applies to the complex Monge-Ampere equation and the k-Hessian equation
This paper establishes interior estimates for L-P-norms, Orlicz norms of solutions to the parabolic ...
The global-regularity for the graph of solutions to a singular Monge–Ampère equation was established...
In this thesis, we present a self-contained account of the current development in the local regulari...
In this thesis, we study some important nonlinear partial differential equations, including the Mong...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivativ...
We investigate the Monge-Ampère equation subject to zero boundary value and with a positive right-ha...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
In this thesis, we study the local regularity of the complex Monge-Ampère equation,(√−1∂∂̄u)n = fdx...
The main threads of this thesis are related by the theme of the complex Monge-Ampère type equations....
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Mon...
This thesis contains the author's results on singular solutions to the Monge-Ampere equation \det D^...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
This paper establishes interior estimates for L-P-norms, Orlicz norms of solutions to the parabolic ...
The global-regularity for the graph of solutions to a singular Monge–Ampère equation was established...
In this thesis, we present a self-contained account of the current development in the local regulari...
In this thesis, we study some important nonlinear partial differential equations, including the Mong...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivativ...
We investigate the Monge-Ampère equation subject to zero boundary value and with a positive right-ha...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
In this thesis, we study the local regularity of the complex Monge-Ampère equation,(√−1∂∂̄u)n = fdx...
The main threads of this thesis are related by the theme of the complex Monge-Ampère type equations....
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Mon...
This thesis contains the author's results on singular solutions to the Monge-Ampere equation \det D^...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
This paper establishes interior estimates for L-P-norms, Orlicz norms of solutions to the parabolic ...
The global-regularity for the graph of solutions to a singular Monge–Ampère equation was established...
In this thesis, we present a self-contained account of the current development in the local regulari...
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