Add to ORKGIn this short note, we prove the existence of solutions to a Monge-Amp\`ere equation of entire type derived by a weighted version of the classical Minkowski problem
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
Abstract In this article we study two classical problems in convex geometry associate...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
We discuss the smoothness and strict convexity of the solution of the Lp-Minkowski problem when p<1 ...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and ...
In a seminal paper "Volumen und Oberfl\"ache" (1903), Minkowski introduced the basic notion of mixed...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
1. introduction This paper is a sequel to [15] on geometric fully nonlinear partial differential equ...
AbstractWe prove that the set of smooth, π-periodic, positive functions on the unit sphere for which...
Abstract. We study the properties of generalized solutions to the Monge– Ampère equation detD2u = ν...
In this note we prove that, if the cost function satisfies some necessary structural conditions and ...
In this note we prove that, if the cost function satisfies some necessary structural conditions and ...
The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sp...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
Abstract In this article we study two classical problems in convex geometry associate...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
AbstractThe Lp Minkowski problem is equivalent to solve the Monge–Ampère equationdet(uij+uδij)=up−1f...
We discuss the smoothness and strict convexity of the solution of the Lp-Minkowski problem when p<1 ...
AbstractThe Lp-Minkowski problem introduced by Lutwak is solved for p⩾n+1 in the smooth category. Th...
Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and ...
In a seminal paper "Volumen und Oberfl\"ache" (1903), Minkowski introduced the basic notion of mixed...
AbstractThe Lp Minkowski problem in the plane has been the object of a number of recent investigatio...
1. introduction This paper is a sequel to [15] on geometric fully nonlinear partial differential equ...
AbstractWe prove that the set of smooth, π-periodic, positive functions on the unit sphere for which...
Abstract. We study the properties of generalized solutions to the Monge– Ampère equation detD2u = ν...
In this note we prove that, if the cost function satisfies some necessary structural conditions and ...
In this note we prove that, if the cost function satisfies some necessary structural conditions and ...
The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sp...
AbstractWe consider the Monge–Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n⩾3, where Ψ is a positive f...
Abstract In this article we study two classical problems in convex geometry associate...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...