Add to ORKGThis dissertation consists of three parts. The first part studies hypersurfaces of prescribed Gauss curvature with given boundary, using the theory of Monge-Ampere equations. The second part concerns with the complex Monge-Ampere equations. The third part studies the Dirichlet problem for a class of fully nonlinear elliptic equations of second order
Abstract. The goal of this work is to illustrate the application of the nonvari-ational finite eleme...
This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goa...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
Abstract. In [24], we studied the singularities of solutions of Monge-Ampère equations of hyperboli...
The existence and uniqueness of the global C-1,C-1/3 solution to the Dirichlet problem for the degen...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
The classical Monge-Ampère equation has been the center of considerable interest in recent years bec...
ABSTRACT. – We consider the flow of a strictly convex hypersurface driven by the Gauß curvature. For...
We are concerned with some notions of curvatures associated with pseudoconvexity and the Levi form a...
AbstractThe existence and uniqueness of the global C1,1/3 solution to the Dirichlet problem for the ...
In the theory of holomorphic functions of one complex variable it is often useful to study subharmon...
This paper introduces a numerical method for the solution of the nonlinear elliptic Monge-Ampére equ...
AbstractThe Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by th...
We consider Dirichlet boundary value problem for Laplace–Beltrami Equation On Hypersurface S, when t...
Abstract. The goal of this work is to illustrate the application of the nonvari-ational finite eleme...
This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goa...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
Abstract. In [24], we studied the singularities of solutions of Monge-Ampère equations of hyperboli...
The existence and uniqueness of the global C-1,C-1/3 solution to the Dirichlet problem for the degen...
Boundary C^{2,\alpha} estimates for Monge-Ampere type equations In this paper, we obtain global seco...
The classical Monge-Ampère equation has been the center of considerable interest in recent years bec...
ABSTRACT. – We consider the flow of a strictly convex hypersurface driven by the Gauß curvature. For...
We are concerned with some notions of curvatures associated with pseudoconvexity and the Levi form a...
AbstractThe existence and uniqueness of the global C1,1/3 solution to the Dirichlet problem for the ...
In the theory of holomorphic functions of one complex variable it is often useful to study subharmon...
This paper introduces a numerical method for the solution of the nonlinear elliptic Monge-Ampére equ...
AbstractThe Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by th...
We consider Dirichlet boundary value problem for Laplace–Beltrami Equation On Hypersurface S, when t...
Abstract. The goal of this work is to illustrate the application of the nonvari-ational finite eleme...
This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goa...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...