Articles

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

  • Guangling SUN ,
  • Lu XU ,
  • Ping ZHANG
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  • School of Mathematics, Hunan University, Changsha 410082, China

Received date: 2020-08-19

  Revised date: 2021-04-14

  Online published: 2021-10-21

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.

Cite this article

Guangling SUN , Lu XU , Ping ZHANG . THE UNIQUENESS OF THE Lp MINKOWSKI PROBLEM FOR q-TORSIONAL RIGIDITY[J]. Acta mathematica scientia, Series B, 2021 , 41(5) : 1405 -1416 . DOI: 10.1007/s10473-021-0501-x

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