<正> In this paper, the Dirichlet problem for the Monge-Ampere equation det(u_(ij)) =F(x,u,△u)on a convex bounded domain ΩR~n is considered. The author establishes a new C~c-estimate and gives somenew existence results. He also presents a new proof for the C~(3.x)-estimates of solutions, which not on...03250-26
In this paper we study the following eigenvalue boundary value problem for Monge-Amp\`{e}re equation...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju...
Abstract. It is well-known that the Dirichlet problem for the Monge-Ampère equation detD2u = µ in a...
Abstract. It is well-known that the Dirichlet problem for the Monge-Ampère equation detD2u = µ in a...
AbstractIn this paper we prove the existence of nontrivial convex solutions to the Monge-Ampère equa...
AbstractGiven a strictly convex, smooth, and bounded domain Ω in Rn we establish the existence of a ...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
We consider a class of Monge–Ampere equations where the convex conjugate of the unknown function is ...
Let O be a bounded convex domain in Rn with smooth, strictly convex boundary ¶O, i.e. the principal ...
This article concerns the Monge–Ampère equations with infinite boundary value in convex domains in ...
Guedj, S. Kolodziej and A. Zeriahi We study the regularity of solutions to the Dirichlet problem for...
We prove some sharp estimates for solutions to Dirichlet problems relative to Monge--Ampère equation...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
In this paper we study the following eigenvalue boundary value problem for Monge-Amp\`{e}re equation...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju...
Abstract. It is well-known that the Dirichlet problem for the Monge-Ampère equation detD2u = µ in a...
Abstract. It is well-known that the Dirichlet problem for the Monge-Ampère equation detD2u = µ in a...
AbstractIn this paper we prove the existence of nontrivial convex solutions to the Monge-Ampère equa...
AbstractGiven a strictly convex, smooth, and bounded domain Ω in Rn we establish the existence of a ...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
We consider a class of Monge–Ampere equations where the convex conjugate of the unknown function is ...
Let O be a bounded convex domain in Rn with smooth, strictly convex boundary ¶O, i.e. the principal ...
This article concerns the Monge–Ampère equations with infinite boundary value in convex domains in ...
Guedj, S. Kolodziej and A. Zeriahi We study the regularity of solutions to the Dirichlet problem for...
We prove some sharp estimates for solutions to Dirichlet problems relative to Monge--Ampère equation...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
In this paper we study the following eigenvalue boundary value problem for Monge-Amp\`{e}re equation...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju...
DOI
Add to ORKG