A curvature flow to the Lp Minkowski-type problem of q-capacity

• Published in: Advanced nonlinear studies Vol. 23; no. 1; pp. 1 - 128
• Main Authors: Liu, Xinying, Sheng, Weimin
• Format: Journal Article
• Language: English
• Published: De Gruyter 11.01.2023
• Subjects: 35K96; 53E99; capacity; curvature flow; Minkowski-type problem; q-capacity

This article concerns the Minkowski problem for -capacity. We consider the case and in the smooth category by a kind of curvature flow, which converges smoothly to the solution of a Monge-Ampére type equation. We show the existence of smooth solution to the problem for . We also provide a proof for...