Geodesic
The extreme problem for Orlicz and L q torsional rigidity and their properties
Filomat, Tome 35 (2021) no. 12, p. 4033

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DOI

In this paper, the extreme problem for Orlicz and L q torsional rigidity is discussed. Moreover, we introduce Orlicz and L q geominimal torsional rigidity, which is defined as being motivated through Orlicz L ϕ mixed torsional rigidity. Also, the invariance of Orlicz and L q geominimal torsional rigidity under orthogonal matrices is proved, and isoperimetric type inequality and circular type inequality for the torsional rigidity are established as well
DOI : 10.2298/FIL2112033W
Classification : 53A15, 52B45, 52A39
Keywords: geominimal torsional rigidity, isoperimetric type inequality, circular type inequality 
Zhenzhen Wei; Jin Yang. The extreme problem for Orlicz and L q torsional rigidity and their properties. Filomat, Tome 35 (2021) no. 12, p. 4033 . doi: 10.2298/FIL2112033W
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     author = {Zhenzhen Wei and Jin Yang},
     title = {The extreme problem for {Orlicz} and {L} q torsional rigidity and their properties},
     journal = {Filomat},
     pages = {4033 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112033W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112033W/}
}
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