The Orlicz Brunn–Minkowski inequality
By Dongmeng Xi, HaiLin Jin, Gangsong Leng. 2014
168 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ce9f6bfead23816ba8bfd45fd610e9609a23c7cc
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- The Dual Orlicz–Minkowski Problem (2017, methodology): “This new theory started from the works of Lutwak, Yang and Zhang [35, 36] and Ludwig [27], and was greatly pushed forward by Gardner, Hug and Weil [12] and independently by Xi, Jin and Leng [46], due to the discovery of the Orlicz addition of convex bodies.”
- Dual Orlicz–Brunn–Minkowski theory: Dual Orlicz Lϕ affine and geominimal surface areas (2014, unknown): “Define the Orlicz φ-mixed volume Vφ(K,Q) of convex bodies K,Q ∈ K0 by [9, 47, 51] Vφ(K,Q) = 1 n ∫”
- The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems (2017, methodology): “7) was proved in [16, 43] with assumptions φ1, φ2 ∈ Φ1 (i.”
- The Minkowski problem in Gaussian probability space (2020, result): “See also [22,36,40,48,71,78] for additional results and contributions in the Orlicz extension of the classical Brunn-Minkowski theory.”
- A flow method for the dual Orlicz–Minkowski problem (2020, background): “They have attracted great attention from many researchers, see for example [11, 20, 22, 27, 29, 30, 32, 33, 34, 36, 43, 45, 51, 53, 55, 56, 58, 60, 63, 66, 69] and references therein.”
- The dual Orlicz–Brunn–Minkowski theory ☆ (2014, result): “(Some of these results were obtained independently by Xi, Jin, and Leng [38].”