A flow method for the dual Orlicz–Minkowski problem

Liu, YanNan; Lu, Jian

doi:10.1090/tran/8130

A flow method for the dual Orlicz–Minkowski problem
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by YanNan Liu and Jian Lu PDF

Trans. Amer. Math. Soc. 373 (2020), 5833-5853 Request permission

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.

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