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
[21]   Torsional rigidity of harmonic gear drives [J].
Timofeev G.A. ;
Kostikov Y.V. .
Russian Engineering Research, 2016, 36 (12) :995-998
[22]   Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton–Jacobi equations with inward drift [J].
Emmanuel Chasseigne ;
Naoyuki Ichihara .
Nonlinear Differential Equations and Applications NoDEA, 2022, 29
[23]   Torsional rigidity, isospectrality and quantum graphs [J].
Colladay, Don ;
Kaganovskiy, Leon ;
McDonald, Patrick .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (03)
[24]   Torsional rigidity of cotton hosiery yarns [J].
Banerjee, PK ;
Bhat, P .
INDIAN JOURNAL OF FIBRE & TEXTILE RESEARCH, 2005, 30 (02) :136-141
[25]   On Blaschke–Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue [J].
Ilaria Lucardesi ;
Davide Zucco .
Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 :175-201
[26]   Torsional Rigidity for Regions with a Brownian Boundary [J].
M. van den Berg ;
E. Bolthausen ;
F. den Hollander .
Potential Analysis, 2018, 48 :375-403
[27]   Torsional rigidity of freewheel mechanisms in drives [J].
Sharkov O.V. ;
Koryagin S.I. ;
Kalinin A.V. .
Russian Engineering Research, 2017, 37 (11) :954-956
[28]   Torsional Rigidity for Regions with a Brownian Boundary [J].
van den Berg, M. ;
Bolthausen, E. ;
den Hollander, F. .
POTENTIAL ANALYSIS, 2018, 48 (03) :375-403
[29]   Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity [J].
van den Berg, Michiel ;
Buttazzo, Giuseppe ;
Velichkov, Bozhidar .
NEW TRENDS IN SHAPE OPTIMIZATION, 2015, 166 :19-41
[30]   Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift [J].
Chasseigne, Emmanuel ;
Ichihara, Naoyuki .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 29 (04)