The optimal problems for torsional rigidity

被引：0

作者：

Yang, Jin ^{[1
]}

Wei, Zhenzhen ^{[1
]}

机构：

[1] Hubei Minzu Univ, Dept Math, Enshi 445000, Hubei, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 05期

基金：

中国国家自然科学基金;

关键词：

geominimal surface area; Petty bodies; torsional rigidity; torsional measure; mixed torsional rigidity; MINKOWSKI-FIREY THEORY; AFFINE; INEQUALITIES;

D O I：

10.3934/math.2021271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the optimization problems associated with the nonhomogeneous and homogeneous Orlicz mixed torsional rigidities by investigating the properties of the corresponding mixed torsional rigidity. As the main results, the existence and the continuity of the solutions to these problems are proved.

引用

页码：4597 / 4613

页数：17

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