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The Uniqueness of the Lp Minkowski Problem for q-Torsional Rigidity

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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.

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Authors and Affiliations

  1. School of Mathematics, Hunan University, Changsha, 410082, China

    Guangling Sun  (孙广玲), Lu Xu  (徐露) & Ping Zhang  (章萍)

Authors
  1. Guangling Sun  (孙广玲)
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  2. Lu Xu  (徐露)
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  3. Ping Zhang  (章萍)
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Corresponding author

Correspondence to Lu Xu  (徐露).

Additional information

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

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Sun, G., Xu, L. & Zhang, P. The Uniqueness of the Lp Minkowski Problem for q-Torsional Rigidity. Acta Math Sci 41, 1405–1416 (2021). https://doi.org/10.1007/s10473-021-0501-x

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  • DOI: https://doi.org/10.1007/s10473-021-0501-x

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