The extreme problem for Orlicz and Lq torsional rigidity and their properties
نویسندگان
چکیده
In this paper, the extreme problem for Orlicz and Lq torsional rigidity is discussed. Moreover, we introduce geominimal rigidity, which defined as being motivated through L' mixed rigidity. Also, invariance of under orthogonal matrices proved, isoperimetric type inequality circular are established well.
منابع مشابه
The Minkowski problem for the torsional rigidity
We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of R n. For the existence part we apply the variational method introduced by Jerison in: Adv. Math. 122 (1996), pp. 262–279. Uniqueness follows from the Brunn–Minkowski inequality for the torsional rigidity and corresponding ...
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ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2112033w