A flow method for the dual Orlicz-Minkowski problem

Abstract

In this paper the dual Orlicz-Minkowski problem, a generalization of the $L_p$ dual Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support function, we obtain a new existence result of solutions to this problem for smooth measures.

arXiv commentAccepted by Transactions of the American Mathematical Society

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