The Lp Minkowski problem for q-torsional rigidity-Reference-Cited by-同舟云学术

The L_p Minkowski problem for q-torsional rigidity

Published:2022-11-24 Issue:0 Volume:0 Page:
ISSN:1864-8258
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Chen Bin¹,Zhao Xia¹,Wang Weidong²,Zhao Peibiao¹

Affiliation:

1. School of Mathematics and Statistics , Nanjing University of Science and Technology , Nanjing , P. R. China

2. Three Gorges Mathematical Research Center , China Three Gorges University , Yichang , P. R. China

Abstract

Abstract In this paper, we introduce the L p

{L_{p}}

q-torsional measure for p ∈ ℝ

{p\in\mathbb{R}}

and q > 1

{q>1}

by the L p

{L_{p}}

variational formula for the q-torsional rigidity of convex bodies without smoothness conditions. Moreover, we achieve the existence of solutions to the L p

{L_{p}}

Minkowski problem with respect to the q-torsional rigidity for discrete measures and general measures when 0 < p < 1

{0<p<1}

and q > 1

{q>1}

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2022-0041/pdf

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