AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju] = ƒ on D × (0, T) where Diju are the spatial derivatives of the convex function u(·, t). A generalized concept of the solution is introduced and existence theorems are formulated and proved under enough general conditions, by purely probabilistic methods
In this article, we establish the global bifurcation result from the trivial solutions axis or from...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized...
AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju...
AbstractIn this paper we prove the existence of nontrivial convex solutions to the Monge-Ampère equa...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
<正> In this paper, the Dirichlet problem for the Monge-Ampere equation det(u_(ij)) =F(x,u,△u)o...
This paper establishes boundary estimates for solutions to the parabolic Monge-Ampere equation ut (d...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
We consider the Monge-Ampere equation det D(2)u = b(x) f (u) > 0 in Omega, subject to the singular b...
Abstract. A classical result of Aleksandrov allows one to estimate the size of a convex function u a...
Abstract. We prove the existence of infinitely many entire convex solutions to the Monge-Ampère equ...
In this paper we study the geometry of the sections for solutions to the Monge-Ampere equation detD2...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
This paper establishes interior estimates for L-P-norms, Orlicz norms of solutions to the parabolic ...
In this article, we establish the global bifurcation result from the trivial solutions axis or from...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized...
AbstractThe parabolic type Monge-Ampere equation we are dealing with, is of the form (∂u∂t) det[Diju...
AbstractIn this paper we prove the existence of nontrivial convex solutions to the Monge-Ampère equa...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
<正> In this paper, the Dirichlet problem for the Monge-Ampere equation det(u_(ij)) =F(x,u,△u)o...
This paper establishes boundary estimates for solutions to the parabolic Monge-Ampere equation ut (d...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
We consider the Monge-Ampere equation det D(2)u = b(x) f (u) > 0 in Omega, subject to the singular b...
Abstract. A classical result of Aleksandrov allows one to estimate the size of a convex function u a...
Abstract. We prove the existence of infinitely many entire convex solutions to the Monge-Ampère equ...
In this paper we study the geometry of the sections for solutions to the Monge-Ampere equation detD2...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
This paper establishes interior estimates for L-P-norms, Orlicz norms of solutions to the parabolic ...
In this article, we establish the global bifurcation result from the trivial solutions axis or from...
Abstract. In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampère e...
We consider convex solutions to the Monge-Ampere equation when the measure is doubling.We summarized...
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