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

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math.OC2007

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…