Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (5): 1405-1416.doi: 10.1007/s10473-021-0501-x

• Articles •     Next Articles

THE UNIQUENESS OF THE Lp MINKOWSKI PROBLEM FOR q-TORSIONAL RIGIDITY

Guangling SUN, Lu XU, Ping ZHANG   

  1. School of Mathematics, Hunan University, Changsha 410082, China
  • Received:2020-08-19 Revised:2021-04-14 Online:2021-10-25 Published:2021-10-21
  • Contact: Lu XU E-mail:xulu@hnu.edu.cn
  • Supported by:
    The authors were supported by NSFC (11771132) and Hunan Science and Technology Project (2018JJ1004).

Abstract: 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.

Key words: q-torsional rigidity, Lp Minkowski problem, Lp Hadamard variational formula, Lp Brunn-Minkowski inequality

CLC Number: 

  • 35A02
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