Establishes necessary and sufficient existence conditions for the Orlicz-Gauss image problem for pseudo-cones, connects it to spherical optimal transport, and strengthens Schneider's result by a constant factor via variational methods with a restrictive technique.
Schneider, Weighted cone-volume measures of pseudo-cones, Acta Math
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The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport
Establishes necessary and sufficient existence conditions for the Orlicz-Gauss image problem for pseudo-cones, connects it to spherical optimal transport, and strengthens Schneider's result by a constant factor via variational methods with a restrictive technique.