Ivaki, Mohammad N.; Milman, Emanuel Uniqueness of solutions to a class of isotropic curvature problems. (English) Zbl 07797712 Adv. Math. 435, Part A, Article ID 109350, 11 p. (2023). MSC: 35A02 35C06 52A20 PDFBibTeX XMLCite \textit{M. N. Ivaki} and \textit{E. Milman}, Adv. Math. 435, Part A, Article ID 109350, 11 p. (2023; Zbl 07797712) Full Text: DOI arXiv
Hu, Yingxiang; Li, Haizhong Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms. (English) Zbl 1516.53014 Adv. Math. 413, Article ID 108826, 31 p. (2023). Reviewer: Viktor Ohanyan (Erevan) MSC: 53A55 53C21 53C24 53C65 52A20 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{H. Li}, Adv. Math. 413, Article ID 108826, 31 p. (2023; Zbl 1516.53014) Full Text: DOI arXiv
Chen, Shibing; Feng, Yibin; Liu, Weiru Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). (English) Zbl 1509.52006 Adv. Math. 411, Part A, Article ID 108782, 18 p. (2022). Reviewer: Ana Pereira do Vale (Braga) MSC: 52A38 52A15 35J96 53A40 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Math. 411, Part A, Article ID 108782, 18 p. (2022; Zbl 1509.52006) Full Text: DOI arXiv
Li, Qi-Rui; Sheng, Weimin; Ye, Deping; Yi, Caihong A flow approach to the Musielak-Orlicz-Gauss image problem. (English) Zbl 1490.35220 Adv. Math. 403, Article ID 108379, 40 p. (2022). MSC: 35K96 53C21 52A30 52A39 52A40 PDFBibTeX XMLCite \textit{Q.-R. Li} et al., Adv. Math. 403, Article ID 108379, 40 p. (2022; Zbl 1490.35220) Full Text: DOI arXiv
Choi, Beomjun; Choi, Kyeongsu; Daskalopoulos, Panagiota Convergence of Gauss curvature flows to translating solitons. (English) Zbl 1490.53109 Adv. Math. 397, Article ID 108207, 30 p. (2022). MSC: 53E10 53A07 35K55 PDFBibTeX XMLCite \textit{B. Choi} et al., Adv. Math. 397, Article ID 108207, 30 p. (2022; Zbl 1490.53109) Full Text: DOI arXiv
Chen, Shibing; Huang, Yong; Li, Qi-Rui; Liu, Jiakun The \(L_p\)-Brunn-Minkowski inequality for \(p<1\). (English) Zbl 1440.52013 Adv. Math. 368, Article ID 107166, 20 p. (2020). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Math. 368, Article ID 107166, 20 p. (2020; Zbl 1440.52013) Full Text: DOI
Li, Ai-Jun; Huang, Qingzhong; Xi, Dongmeng New sine ellipsoids and related volume inequalities. (English) Zbl 1434.52010 Adv. Math. 353, 281-311 (2019). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 PDFBibTeX XMLCite \textit{A.-J. Li} et al., Adv. Math. 353, 281--311 (2019; Zbl 1434.52010) Full Text: DOI
Chen, Shibing; Li, Qi-Rui On the planar dual Minkowski problem. (English) Zbl 1397.52002 Adv. Math. 333, 87-117 (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A10 52A39 53A04 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Q.-R. Li}, Adv. Math. 333, 87--117 (2018; Zbl 1397.52002) Full Text: DOI
Alonso-Gutiérrez, David; Henk, Martin; Hernández Cifre, María A. A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. (English) Zbl 1393.52005 Adv. Math. 331, 565-588 (2018). MSC: 52A30 52A39 30C15 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., Adv. Math. 331, 565--588 (2018; Zbl 1393.52005) Full Text: DOI arXiv Link
Ritoré, Manuel; Nicolás, Jesús Yepes Brunn-Minkowski inequalities in product metric measure spaces. (English) Zbl 1381.52015 Adv. Math. 325, 824-863 (2018). MSC: 52A40 28A35 60G15 52A20 PDFBibTeX XMLCite \textit{M. Ritoré} and \textit{J. Y. Nicolás}, Adv. Math. 325, 824--863 (2018; Zbl 1381.52015) Full Text: DOI arXiv
Henk, Martin; Pollehn, Hannes Necessary subspace concentration conditions for the even dual Minkowski problem. (English) Zbl 1383.52008 Adv. Math. 323, 114-141 (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{M. Henk} and \textit{H. Pollehn}, Adv. Math. 323, 114--141 (2018; Zbl 1383.52008) Full Text: DOI arXiv
Solanes, Gil Contact measures in isotropic spaces. (English) Zbl 1370.53054 Adv. Math. 317, 645-664 (2017). MSC: 53C65 28A75 PDFBibTeX XMLCite \textit{G. Solanes}, Adv. Math. 317, 645--664 (2017; Zbl 1370.53054) Full Text: DOI arXiv
Nguyen, Van Hoang New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality. (English) Zbl 1355.26018 Adv. Math. 302, 1080-1110 (2016). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D07 46E35 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Math. 302, 1080--1110 (2016; Zbl 1355.26018) Full Text: DOI arXiv
Andrews, Ben; Guan, Pengfei; Ni, Lei Flow by powers of the Gauss curvature. (English) Zbl 1401.35159 Adv. Math. 299, 174-201 (2016). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K55 35B65 53A05 PDFBibTeX XMLCite \textit{B. Andrews} et al., Adv. Math. 299, 174--201 (2016; Zbl 1401.35159) Full Text: DOI arXiv
Colesanti, A.; Nyström, K.; Salani, P.; Xiao, J.; Yang, D.; Zhang, G. The Hadamard variational formula and the Minkowski problem for \(p\)-capacity. (English) Zbl 1327.31024 Adv. Math. 285, 1511-1588 (2015). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C45 52A20 35J60 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Adv. Math. 285, 1511--1588 (2015; Zbl 1327.31024) Full Text: DOI
Huang, Yong; Liu, Jiakun; Xu, Lu On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\). (English) Zbl 1329.52003 Adv. Math. 281, 906-927 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 52A20 35J96 53A05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. 281, 906--927 (2015; Zbl 1329.52003) Full Text: DOI arXiv
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia Nonuniqueness of solutions to the \(L_p\)-Minkowski problem. (English) Zbl 1326.35009 Adv. Math. 281, 845-856 (2015). MSC: 35A02 35J60 35J96 PDFBibTeX XMLCite \textit{H. Jian} et al., Adv. Math. 281, 845--856 (2015; Zbl 1326.35009) Full Text: DOI
Zhu, Baocheng; Zhou, Jiazu; Xu, Wenxue Dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1307.52004 Adv. Math. 264, 700-725 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A40 53A15 PDFBibTeX XMLCite \textit{B. Zhu} et al., Adv. Math. 264, 700--725 (2014; Zbl 1307.52004) Full Text: DOI
Zhu, Guangxian The logarithmic Minkowski problem for polytopes. (English) Zbl 1321.52015 Adv. Math. 262, 909-931 (2014). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 PDFBibTeX XMLCite \textit{G. Zhu}, Adv. Math. 262, 909--931 (2014; Zbl 1321.52015) Full Text: DOI
Xi, Dongmeng; Jin, Hailin; Leng, Gangsong The Orlicz Brunn-Minkowski inequality. (English) Zbl 1357.52004 Adv. Math. 260, 350-374 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A40 52A39 PDFBibTeX XMLCite \textit{D. Xi} et al., Adv. Math. 260, 350--374 (2014; Zbl 1357.52004) Full Text: DOI
Gardner, Richard J.; Parapatits, Lukas; Schuster, Franz E. A characterization of Blaschke addition. (English) Zbl 1291.52011 Adv. Math. 254, 396-418 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A39 52A41 PDFBibTeX XMLCite \textit{R. J. Gardner} et al., Adv. Math. 254, 396--418 (2014; Zbl 1291.52011) Full Text: DOI arXiv
Weberndorfer, Manuel Shadow systems of asymmetric \(L_p\) zonotopes. (English) Zbl 1296.52008 Adv. Math. 240, 613-635 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 PDFBibTeX XMLCite \textit{M. Weberndorfer}, Adv. Math. 240, 613--635 (2013; Zbl 1296.52008) Full Text: DOI
Alonso-Gutiérrez, David; Jiménez, C. Hugo; Villa, Rafael Brunn-Minkowski and Zhang inequalities for convolution bodies. (English) Zbl 1281.52005 Adv. Math. 238, 50-69 (2013). MSC: 52A40 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., Adv. Math. 238, 50--69 (2013; Zbl 1281.52005) Full Text: DOI arXiv
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The log-Brunn-Minkowski inequality. (English) Zbl 1258.52005 Adv. Math. 231, No. 3-4, 1974-1997 (2012). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 PDFBibTeX XMLCite \textit{K. Böröczky jun.} et al., Adv. Math. 231, No. 3--4, 1974--1997 (2012; Zbl 1258.52005) Full Text: DOI
Xiao, Jie The sharp Sobolev and isoperimetric inequalities split twice. (English) Zbl 1125.26026 Adv. Math. 211, No. 2, 417-435 (2007); corrigendum ibid. 268, 906-914 (2015). Reviewer: Wei Nian Li (Binzhou) MSC: 26D15 PDFBibTeX XMLCite \textit{J. Xiao}, Adv. Math. 211, No. 2, 417--435 (2007; Zbl 1125.26026) Full Text: DOI
Chou, Kai-Seng; Wang, Xu-Jia The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. (English) Zbl 1245.52001 Adv. Math. 205, No. 1, 33-83 (2006). MSC: 52A38 35J20 35J60 52A21 52A39 52A40 53A15 PDFBibTeX XMLCite \textit{K.-S. Chou} and \textit{X.-J. Wang}, Adv. Math. 205, No. 1, 33--83 (2006; Zbl 1245.52001) Full Text: DOI
Stancu, Alina On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem. (English) Zbl 1054.52001 Adv. Math. 180, No. 1, 290-323 (2003). Reviewer: Carla Peri (Milano-Largo) MSC: 52A10 53C44 PDFBibTeX XMLCite \textit{A. Stancu}, Adv. Math. 180, No. 1, 290--323 (2003; Zbl 1054.52001) Full Text: DOI
Campi, S.; Gronchi, P. The \(L^p\)-Busemann-Petty centroid inequality. (English) Zbl 1002.52005 Adv. Math. 167, No. 1, 128-141 (2002). Reviewer: Salvador Gomis (Alicante) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Adv. Math. 167, No. 1, 128--141 (2002; Zbl 1002.52005) Full Text: DOI
Martinez-Maure, Yves Hedgehogs and zonoids. (English) Zbl 0977.52010 Adv. Math. 158, No. 1, 1-17 (2001). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A30 53A05 PDFBibTeX XMLCite \textit{Y. Martinez-Maure}, Adv. Math. 158, No. 1, 1--17 (2001; Zbl 0977.52010) Full Text: DOI Link
Lutwak, Erwin Intersection bodies and dual mixed volumes. (English) Zbl 0657.52002 Adv. Math. 71, No. 2, 232-261 (1988). Reviewer: H.Martini MSC: 52A20 PDFBibTeX XMLCite \textit{E. Lutwak}, Adv. Math. 71, No. 2, 232--261 (1988; Zbl 0657.52002) Full Text: DOI