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.

Accepted by Transactions of the American Mathematical Society

References in corpus (2)

• The dual Minkowski problem for negative indices
• The Dual Orlicz-Brunn-Minkowski Theory