THE UNIQUENESS OF THE L_(p) MINKOWSKI PROBLEM FOR q-TORSIONAL RIGIDITY  

作　　者：Guangling SUN Lu XU Ping ZHANG 孙广玲;徐露;章萍(School of Mathematics,Hunan University,Changsha 410082,China)

机构地区：[1]School of Mathematics,Hunan University,Changsha 410082,China

出　　处：《Acta Mathematica Scientia》2021年第5期1405-1416,共12页数学物理学报（B辑英文版）

基　　金：The authors were supported by NSFC(11771132);Hunan Science and Technology Project(2018JJ1004).

摘　　要：In this paper,we prove the uniqueness of the Lp Minkowski problem for q-torsional rigidity with p>1 and q>1 in smooth case.Meanwhile,the Lp Brunn-Minkowski inequality and the Lp Hadamard variational formula for q-torsional rigidity are established.

关 键 词：q-torsional rigidity L_(p)Minkowski problem L_(p)Hadamard variational formula L_(p)Brunn-Minkowski inequality 

分 类 号：O186.5[理学—数学]