Sharp estimates for the anisotropic torsional rigidity and the principal frequency

被引:14
作者
Buttazzo, Giuseppe [1 ]
Lo Bianco, Serena Guarino [2 ]
Marini, Michele [3 ]
机构
[1] Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56126 Pisa, Italy
[2] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, Via Cintia, I-80126 Naples, Italy
[3] Scuola Int Super Avanzati, Via Bonomea 265, I-34136 Trieste, Italy
关键词
Torsional rigidity; Shape optimization; Principal eigenvalue; Convex domains;
D O I
10.1016/j.jmaa.2017.03.055
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we generative some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals related to some anisotropic nonlinear operators. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码:1153 / 1172
页数:20
相关论文
共 50 条
[31]   On Blaschke-Santalo diagrams for the torsional rigidity and the first Dirichlet eigenvalue [J].
Lucardesi, Ilaria ;
Zucco, Davide .
ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (01) :175-201
[32]   Isoperimetric Inequality for Torsional Rigidity in Multidimensional Domains [J].
Avkhadiev, F. G. .
RUSSIAN MATHEMATICS, 2012, 56 (07) :39-43
[33]   Optimal Fiber Configurations for Maximum Torsional Rigidity [J].
Robert Lipton .
Archive for Rational Mechanics and Analysis, 1998, 144 :79-106
[34]   Bounds for the torsional rigidity of inhomogeneous cylindrical bars [J].
István Ecsedi ;
Attila Baksa .
Archive of Applied Mechanics, 2013, 83 :1001-1012
[35]   On the p-torsional rigidity of combinatorial graphs [J].
Bifulco, Patrizio ;
Mugnolo, Delio .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 251
[36]   Measurement of torsional rigidity of yarns with different crimps [J].
Peiffer, Julie ;
Kim, KyoungOk ;
Yoshida, Hiroaki ;
Takatera, Masayuki .
TEXTILE RESEARCH JOURNAL, 2018, 88 (06) :605-613
[37]   Bounds for the torsional rigidity of inhomogeneous cylindrical bars [J].
Ecsedi, Istvan ;
Baksa, Attila .
ARCHIVE OF APPLIED MECHANICS, 2013, 83 (07) :1001-1012
[38]   Research on Test Methods of Frame Torsional Rigidity [J].
Jia, Lu ;
Dai, Huanyun ;
Song, Ye .
PROCEEDINGS OF THE 2015 INTERNATIONAL INDUSTRIAL INFORMATICS AND COMPUTER ENGINEERING CONFERENCE, 2015, :1081-1087
[39]   Isoperimetric inequality for torsional rigidity in the complex plane [J].
Salahudinov, RG .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2001, 6 (03) :253-260
[40]   The Orlicz-Minkowski problem for torsional rigidity [J].
Li, Ni ;
Zhu, Baocheng .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (10) :8549-8572