A flow method for the dual Orlicz–Minkowski problem

By Yan-nan Liu, Jian Lu. Transactions of the American Mathematical Society, 2020

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In this paper the dual Orlicz–Minkowski problem, a generalization of the L p 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/761bf39184b1e6a195d58f68da894cb4ef02aff7