The Lp Minkowski problem for q-torsional rigidity

作者：Chen, Bin; Zhao, Xia; Wang, Weidong; Zhao, Peibiao^*

来源：Advances in Calculus of Variations, 2022.

DOI：10.1515/acv-2022-0041

• Minkowski problem
• Minkowski inequality
• q-torsional rigidity

In this paper, we introduce the L-p q-torsional measure for p is an element of R and q > 1 by the L-p variational formula for the q-torsional rigidity of convex bodies without smoothness conditions. Moreover, we achieve the existence of solutions to the L-p Minkowski problem with respect to the q-torsional rigidity for discrete measures and general measures when 0 < p < 1 and q > 1.

• 单位
  南京理工大学