4 papers
The Minkowski problem for the -torsional rigidity
Xia Zhao, Peibiao Zhao
P. Salani [Adv. Math., 229 (2012)] introduced the -torsional rigidity associated with a -Hessian equation and obtained the Brunn-Minkowski inequalities the torsional…
The -th dual Minkowski problem for the -torsional rigidity corresponding to a -Hessian equation
Xia Zhao, Peibiao Zhao
The study of the dual curvature measures [Y. Huang, E. Lutwak, D. Yang \& G. Y. Zhang, Acta. Math. 216 (2016): 325-388], which connects the cone-volume measure and Aleksandrov's in…
Flow by Gauss Curvature to the Orlicz Minkowski Problem for q-torsional rigidity
Xia Zhao, Peibiao Zhao
The celebrated Minkowski problem for the torsional rigidity (-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu,…
The dual Minkowski problem for -torsional rigidity
Xia Zhao, Peibiao Zhao
The Minkowski problem for torsional rigidity (-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu \cite{HJ00} also…