V. Oliker

activity

20032007

most citedOptical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing 2007Show all

2 papers · 1 filter

math.DG2007

Uniqueness of starshaped compact hypersurfaces with prescribed $m$ -th mean curvature in hyperbolic space

J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker

Let $ψ$ be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface $M$ for which $ψ$ , when evaluated on $M$ , coinci…

math.OC2007

Existence of optimal maps in the reflector-type problems

Wilfrid Gangbo, Vladimir Oliker

In this paper, we consider probability measures $μ$ and $ν$ on a $d$ --dimensional sphere in $\Rd, d \geq 1,$ and cost functions of the form $c(\x,\y)=l(\frac{|\x-\y|^2}{2})$ that g…

Uniqueness of starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space

Existence of optimal maps in the reflector-type problems

Uniqueness of starshaped compact hypersurfaces with prescribed $m$ -th mean curvature in hyperbolic space