Add to ORKGMonge-Ampère equations of the form, uxxuyy − u2xy = F (u, ux, uy) arise in many areas of fluid and solid mechanics. Here it is shown that in the special case F = u4yf(u, ux/uy), where f denotes an arbitrary function, the Monge-Ampère equation can be linearized by using a sequence of Ampère, point, Legendre and rotation transfor-mations. This linearization is a generalization of three examples from finite elasticity, involving plane strain and plane stress deformations of the incompressible perfectly elastic Varga material and also relates to a previous linearization of this equation due to Khabirov [7]
Abstract. The elliptic Monge-Ampère equation is a fully nonlinear Partial Differential Equation tha...
Abstract. We demonstrate that C2,α estimates for the Monge-Ampère equation depend in a highly nonli...
AbstractWe study the boundary value problems for Monge–Ampère equations: detD2u=e−u in Ω⊂Rn, n⩾1, u|...
AbstractIn this paper we consider the second order Monge–Ampère equations in (1+1), (2+1), and (3+1)...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
Abstract. The goal of this work is to illustrate the application of the nonvari-ational finite eleme...
We consider systems of equations in one space dimension in conservative form which can be reduce, wi...
In this paper, we construct and analyze finite element methods for the three dimensional Monge-Ampèr...
The classical Monge-Ampère equation has been the center of considerable interest in recent years bec...
In this paper, we construct and analyze finite element methods for the three dimensional M...
Abstract. We obtain boundary Hölder gradient estimates and regularity for solutions to the lineariz...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
Abstract. Let : Rn! R be a function strictly convex and smooth, and = det D2 is the Monge-Amp `er...
Consisting of two parts, the first part of this volume is an essentially self-contained exposition o...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
Abstract. The elliptic Monge-Ampère equation is a fully nonlinear Partial Differential Equation tha...
Abstract. We demonstrate that C2,α estimates for the Monge-Ampère equation depend in a highly nonli...
AbstractWe study the boundary value problems for Monge–Ampère equations: detD2u=e−u in Ω⊂Rn, n⩾1, u|...
AbstractIn this paper we consider the second order Monge–Ampère equations in (1+1), (2+1), and (3+1)...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
Abstract. The goal of this work is to illustrate the application of the nonvari-ational finite eleme...
We consider systems of equations in one space dimension in conservative form which can be reduce, wi...
In this paper, we construct and analyze finite element methods for the three dimensional Monge-Ampèr...
The classical Monge-Ampère equation has been the center of considerable interest in recent years bec...
In this paper, we construct and analyze finite element methods for the three dimensional M...
Abstract. We obtain boundary Hölder gradient estimates and regularity for solutions to the lineariz...
In this paper we study the real Monge-Ampère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on ∂...
Abstract. Let : Rn! R be a function strictly convex and smooth, and = det D2 is the Monge-Amp `er...
Consisting of two parts, the first part of this volume is an essentially self-contained exposition o...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
Abstract. The elliptic Monge-Ampère equation is a fully nonlinear Partial Differential Equation tha...
Abstract. We demonstrate that C2,α estimates for the Monge-Ampère equation depend in a highly nonli...
AbstractWe study the boundary value problems for Monge–Ampère equations: detD2u=e−u in Ω⊂Rn, n⩾1, u|...