Open AccessThe extreme problem for Orlicz and Lq torsional rigidity and their properties
Author(s) -
Zhenzhen Wei,
Jin Yang
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112033w
Subject(s) - mathematics , rigidity (electromagnetism) , isoperimetric inequality , pure mathematics , mathematical analysis , structural engineering , engineering
In this paper, the extreme problem for Orlicz and Lq torsional rigidity is discussed. Moreover, we introduce Orlicz and Lq geominimal torsional rigidity, which is defined as being motivated through Orlicz L' mixed torsional rigidity. Also, the invariance of Orlicz and Lq geominimal torsional rigidity under orthogonal matrices is proved, and isoperimetric type inequality and circular type inequality for the torsional rigidity are established as well.