Geodesic
On the continuity of the solution to the Minkowski problem for L p torsional measure
Filomat, Tome 37 (2023) no. 8, p. 2387

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DOI

This paper deals with on the continuity of the solution to the Minkowski problem for L p torsional measure. For p ∈ (1, n + 2) ∪ (n + 2, ∞), we show that a sequence of convex bodies in R n is convergent in Hausdorff metric if the sequence of the L p torsional measures (associated with these convex bodies) is weakly convergent. Moreover, we also prove that the solution to the Minkowski problem for L p torsional measure is continuous with respect to p.
DOI : 10.2298/FIL2308387L
Classification : 52A20, 53A15
Keywords: torsional rigidity, Lp torsional measure, convex body, Minkowski problem 
Ni Li; Shuang Mou. On the continuity of the solution to the Minkowski problem for L p torsional measure. Filomat, Tome 37 (2023) no. 8, p. 2387 . doi: 10.2298/FIL2308387L
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     title = {On the continuity of the solution to the {Minkowski} problem for {L} p torsional measure},
     journal = {Filomat},
     pages = {2387 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308387L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308387L/}
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