2 citations · 2 across the 4 of their papers we have counts for
4 papers
Uniqueness of starshaped compact hypersurfaces with prescribed -th mean curvature in hyperbolic space
J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker
Let be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface for which , when evaluated on , coinci…
Existence of optimal maps in the reflector-type problems
Wilfrid Gangbo, Vladimir Oliker
In this paper, we consider probability measures and on a --dimensional sphere in $\Rd, d \geq 1,$ and cost functions of the form $c(\x,\y)=l(\frac{|\x-\y|^2}{2})$ that g…
A Minkowski-style theorem for focal functions of compact convex reflectors
Vladimir Oliker
This paper continues the study of a class of compact convex hypersurfaces in Euclidean space , which are boundaries of compact convex bodies obtained by taking…
Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
Tilmann Glimm, Vladimir Oliker
It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into an output plane front with prescribed output intensity ca…