A flow method for the dual Orlicz-Minkowski problem

24 Jan 2020 · Liu YanNan, Lu Jian ·

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.