Chang, Min Bonnesen-style inequalities on surfaces of constant curvature. (English) Zbl 1498.52013 J. Inequal. Appl. 2018, Paper No. 325, 10 p. (2018). MSC: 52A40 53C65 52A22 52A20 51M16 PDFBibTeX XMLCite \textit{M. Chang}, J. Inequal. Appl. 2018, Paper No. 325, 10 p. (2018; Zbl 1498.52013) Full Text: DOI
Usman, Muhammad Sobolev type inequalities for compact metric graphs. (English) Zbl 1498.26082 J. Inequal. Appl. 2018, Paper No. 271, 11 p. (2018). MSC: 26D20 34L15 81Q35 81Q10 05C50 PDFBibTeX XMLCite \textit{M. Usman}, J. Inequal. Appl. 2018, Paper No. 271, 11 p. (2018; Zbl 1498.26082) Full Text: DOI
Zheng, Gaofeng; Zhou, Yang Several Bonnesen-style inequalities about polar coordinates. (Chinese. English summary) Zbl 1438.52023 J. Math., Wuhan Univ. 38, No. 6, 1119-1122 (2018). MSC: 52A40 52A10 53A04 PDFBibTeX XMLCite \textit{G. Zheng} and \textit{Y. Zhou}, J. Math., Wuhan Univ. 38, No. 6, 1119--1122 (2018; Zbl 1438.52023) Full Text: DOI
Cagnetti, Filippo Rigidity for perimeter inequalities under symmetrization: state of the art and open problems. (English) Zbl 1427.49046 Port. Math. (N.S.) 75, No. 3-4, 329-366 (2018). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 49Q20 49Q15 52A38 52A40 28A75 26B15 26D20 PDFBibTeX XMLCite \textit{F. Cagnetti}, Port. Math. (N.S.) 75, No. 3--4, 329--366 (2018; Zbl 1427.49046) Full Text: DOI
Böröczky, Károly J.; Kovács, Ágnes The isoperimetric problem for 3-polytopes with six vertices. (English) Zbl 1438.52018 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 61, 55-67 (2018). Reviewer: Mircea Balaj (Oradea) MSC: 52A40 PDFBibTeX XMLCite \textit{K. J. Böröczky} and \textit{Á. Kovács}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 61, 55--67 (2018; Zbl 1438.52018) Full Text: arXiv
Horváth, Ákos G. Volume of convex hull of two bodies and related problems. (English) Zbl 1421.52015 Conder, Marston D. E. (ed.) et al., Discrete geometry and symmetry. Dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays. Selected papers based on the presentations at the conference ‘Geometry and symmetry’, Veszprém, Hungary, June 29 – July 3, 2015. Cham: Springer. Springer Proc. Math. Stat. 234, 201-224 (2018). Reviewer: Gabriela Cristescu (Arad) MSC: 52B60 52A40 52A38 PDFBibTeX XMLCite \textit{Á. G. Horváth}, Springer Proc. Math. Stat. 234, 201--224 (2018; Zbl 1421.52015) Full Text: DOI arXiv
Ivochkina, Nina M.; Filimonenkova, Nadezhda V. On two symmetries in the theory of \(m\)-Hessian operators. (English) Zbl 1447.58035 Topol. Methods Nonlinear Anal. 52, No. 1, 31-47 (2018). MSC: 58J70 47J20 15B48 47H05 PDFBibTeX XMLCite \textit{N. M. Ivochkina} and \textit{N. V. Filimonenkova}, Topol. Methods Nonlinear Anal. 52, No. 1, 31--47 (2018; Zbl 1447.58035) Full Text: DOI arXiv Euclid
Wang, Leilei The minimal \({L_p}\) surface area of convex bodies. (Chinese. English summary) Zbl 1424.52016 Commun. Appl. Math. Comput. 32, No. 2, 391-401 (2018). MSC: 52A40 PDFBibTeX XMLCite \textit{L. Wang}, Commun. Appl. Math. Comput. 32, No. 2, 391--401 (2018; Zbl 1424.52016) Full Text: DOI
Zhu, Baocheng; Hong, Han; Ye, Deping The Orlicz-Petty bodies. (English) Zbl 1409.52010 Int. Math. Res. Not. 2018, No. 14, 4356-4403 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A39 46E30 49N99 53A10 PDFBibTeX XMLCite \textit{B. Zhu} et al., Int. Math. Res. Not. 2018, No. 14, 4356--4403 (2018; Zbl 1409.52010) Full Text: DOI arXiv
Witowicz, Paweł Minimal growth function of uniform amenability for discrete abelian groups. (English) Zbl 1443.20073 Bull. Pol. Acad. Sci., Math. 66, No. 2, 135-141 (2018). MSC: 20F65 20K21 05A20 20F69 PDFBibTeX XMLCite \textit{P. Witowicz}, Bull. Pol. Acad. Sci., Math. 66, No. 2, 135--141 (2018; Zbl 1443.20073) Full Text: DOI
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization. (English) Zbl 1411.46029 J. Geom. Anal. 28, No. 4, 3522-3552 (2018). MSC: 46E35 26B30 PDFBibTeX XMLCite \textit{A. Cianchi} et al., J. Geom. Anal. 28, No. 4, 3522--3552 (2018; Zbl 1411.46029) Full Text: DOI arXiv
Candellero, Elisabetta; Teixeira, Augusto Percolation and isoperimetry on roughly transitive graphs. (English. French summary) Zbl 1417.60078 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1819-1847 (2018). MSC: 60K35 82B43 05C10 PDFBibTeX XMLCite \textit{E. Candellero} and \textit{A. Teixeira}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1819--1847 (2018; Zbl 1417.60078) Full Text: DOI arXiv Euclid
Le, Nam Q. The eigenvalue problem for the Monge-Ampère operator on general bounded convex domains. (English) Zbl 1478.47011 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 4, 1519-1559 (2018). MSC: 47A75 49R05 35J70 35J96 PDFBibTeX XMLCite \textit{N. Q. Le}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 4, 1519--1559 (2018; Zbl 1478.47011) Full Text: DOI arXiv
Postle, Luke; Thomas, Robin Hyperbolic families and coloring graphs on surfaces. (English) Zbl 1401.05126 Trans. Am. Math. Soc., Ser. B 5, 167-221 (2018). MSC: 05C15 05C10 05C75 PDFBibTeX XMLCite \textit{L. Postle} and \textit{R. Thomas}, Trans. Am. Math. Soc., Ser. B 5, 167--221 (2018; Zbl 1401.05126) Full Text: DOI arXiv
Harutyunyan, Davit Quantitative anisotropic isoperimetric and Brunn-Minkowski inequalities for convex sets with improved defect estimates. (English) Zbl 1406.52019 ESAIM, Control Optim. Calc. Var. 24, No. 2, 479-494 (2018). Reviewer: Alexey Alimov (Moskva) MSC: 52A40 52A20 52A38 52A39 PDFBibTeX XMLCite \textit{D. Harutyunyan}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 479--494 (2018; Zbl 1406.52019) Full Text: DOI arXiv
Lev, Vsevolod F.; Rudnev, Misha Minimising the sum of projections of a finite set. (English) Zbl 1401.52016 Discrete Comput. Geom. 60, No. 2, 493-511 (2018). MSC: 52A38 52A40 05A20 PDFBibTeX XMLCite \textit{V. F. Lev} and \textit{M. Rudnev}, Discrete Comput. Geom. 60, No. 2, 493--511 (2018; Zbl 1401.52016) Full Text: DOI arXiv
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo Generalized elastica problems under area constraint. (English) Zbl 1401.49062 Math. Res. Lett. 25, No. 2, 521-533 (2018). MSC: 49Q10 51M16 PDFBibTeX XMLCite \textit{V. Ferone} et al., Math. Res. Lett. 25, No. 2, 521--533 (2018; Zbl 1401.49062) Full Text: DOI arXiv
Avkhadiev, F. G.; Nasibullin, R. G.; Shafigullin, I. K. \(L_p\)-versions of one conformally invariant inequality. (English. Russian original) Zbl 1402.35012 Russ. Math. 62, No. 8, 76-79 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 88-92 (2018). MSC: 35A23 PDFBibTeX XMLCite \textit{F. G. Avkhadiev} et al., Russ. Math. 62, No. 8, 76--79 (2018; Zbl 1402.35012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 88--92 (2018) Full Text: DOI
Csató, Gyula On the isoperimetric problem with perimeter density \(r^p\). (English) Zbl 1398.49038 Commun. Pure Appl. Anal. 17, No. 6, 2729-2749 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 49Q10 49Q20 26D10 PDFBibTeX XMLCite \textit{G. Csató}, Commun. Pure Appl. Anal. 17, No. 6, 2729--2749 (2018; Zbl 1398.49038) Full Text: DOI arXiv
Angel, Omer; Benjamini, Itai; Horesh, Nizan An isoperimetric inequality for planar triangulations. (English) Zbl 1401.51016 Discrete Comput. Geom. 59, No. 4, 802-809 (2018). Reviewer: Et-Taoui, Boumédiène (Lutterbach) MSC: 51M16 51M20 PDFBibTeX XMLCite \textit{O. Angel} et al., Discrete Comput. Geom. 59, No. 4, 802--809 (2018; Zbl 1401.51016) Full Text: DOI arXiv
Alonso-Gutiérrez, David; González Merino, Bernardo; Jiménez, C. Hugo; Villa, Rafael John’s ellipsoid and the integral ratio of a log-concave function. (English) Zbl 1406.52011 J. Geom. Anal. 28, No. 2, 1182-1201 (2018). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A23 52A40 52A21 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., J. Geom. Anal. 28, No. 2, 1182--1201 (2018; Zbl 1406.52011) Full Text: DOI arXiv Link
Abardia-Evéquoz, Judit; Colesanti, Andrea; Saorín Gómez, Eugenia Minkowski valuations under volume constraints. (English) Zbl 1400.52007 Adv. Math. 333, 118-158 (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A40 52B45 52A20 52A39 PDFBibTeX XMLCite \textit{J. Abardia-Evéquoz} et al., Adv. Math. 333, 118--158 (2018; Zbl 1400.52007) Full Text: DOI arXiv
Générau, François; Oudet, Edouard Large volume minimizers of a nonlocal isoperimetric problem: theoretical and numerical approaches. (English) Zbl 06898833 SIAM J. Math. Anal. 50, No. 3, 3427-3450 (2018). Reviewer: Riccardo Cristoferi (Nijmegen) MSC: 65K15 49Q10 49Q20 82B24 PDFBibTeX XMLCite \textit{F. Générau} and \textit{E. Oudet}, SIAM J. Math. Anal. 50, No. 3, 3427--3450 (2018; Zbl 06898833) Full Text: DOI arXiv
Kindler, Guy; Kirshner, Naomi; O’Donnell, Ryan Gaussian noise sensitivity and Fourier tails. (English) Zbl 1429.60038 Isr. J. Math. 225, No. 1, 71-109 (2018). MSC: 60G15 60D05 60E15 68Q25 PDFBibTeX XMLCite \textit{G. Kindler} et al., Isr. J. Math. 225, No. 1, 71--109 (2018; Zbl 1429.60038) Full Text: DOI
Zhu, Baocheng; Xu, Wenxue Reverse Bonnesen-style inequalities on surfaces of constant curvature. (English) Zbl 1394.52002 Int. J. Math. 29, No. 6, Article ID 1850040, 16 p. (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A10 52A22 53A35 52A40 PDFBibTeX XMLCite \textit{B. Zhu} and \textit{W. Xu}, Int. J. Math. 29, No. 6, Article ID 1850040, 16 p. (2018; Zbl 1394.52002) Full Text: DOI
Ma, Tongyi On the reverse Orlicz Blaschke-Santaló inequality. (English) Zbl 1395.52009 Mediterr. J. Math. 15, No. 2, Paper No. 32, 11 p. (2018). Reviewer: Horst Martini (Chemnitz) MSC: 52A30 52A40 PDFBibTeX XMLCite \textit{T. Ma}, Mediterr. J. Math. 15, No. 2, Paper No. 32, 11 p. (2018; Zbl 1395.52009) Full Text: DOI
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico Minimizers for nonlocal perimeters of Minkowski type. (English) Zbl 1391.49077 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 64, 40 p. (2018). MSC: 49Q05 49N60 PDFBibTeX XMLCite \textit{A. Cesaroni} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 64, 40 p. (2018; Zbl 1391.49077) Full Text: DOI arXiv Link
Ellis, David; Leader, Imre An isoperimetric inequality for antipodal subsets of the discrete cube. (English) Zbl 1388.51008 Eur. J. Comb. 70, 149-154 (2018). MSC: 51M16 PDFBibTeX XMLCite \textit{D. Ellis} and \textit{I. Leader}, Eur. J. Comb. 70, 149--154 (2018; Zbl 1388.51008) Full Text: DOI arXiv
Fleming, Joshua W.; Martínez-Pedroza, Eduardo Finiteness of homological filling functions. (English) Zbl 1494.20060 Involve 11, No. 4, 569-583 (2018). MSC: 20F65 20J05 57M07 PDFBibTeX XMLCite \textit{J. W. Fleming} and \textit{E. Martínez-Pedroza}, Involve 11, No. 4, 569--583 (2018; Zbl 1494.20060) Full Text: DOI arXiv
Long, Qunli; Lv, Songjun An extremal property of \(p\)-mean width. (English) Zbl 1390.52015 Result. Math. 73, No. 1, Paper No. 26, 18 p. (2018). MSC: 52A40 PDFBibTeX XMLCite \textit{Q. Long} and \textit{S. Lv}, Result. Math. 73, No. 1, Paper No. 26, 18 p. (2018; Zbl 1390.52015) Full Text: DOI
Zhao, Chang-Jian; Cheung, Wing-Sum Orlicz mean dual affine quermassintegrals. (English) Zbl 1387.52019 J. Funct. Spaces 2018, Article ID 8123924, 13 p. (2018). MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{C.-J. Zhao} and \textit{W.-S. Cheung}, J. Funct. Spaces 2018, Article ID 8123924, 13 p. (2018; Zbl 1387.52019) Full Text: DOI
Figalli, Alessio; Maggi, Francesco; Mooney, Connor The sharp quantitative Euclidean concentration inequality. (English) Zbl 1385.39005 Camb. J. Math. 6, No. 1, 59-87 (2018). MSC: 39B62 49J10 PDFBibTeX XMLCite \textit{A. Figalli} et al., Camb. J. Math. 6, No. 1, 59--87 (2018; Zbl 1385.39005) Full Text: DOI arXiv
Yang, Yunlong; Zhang, Deyan Deforming a convex domain into a disk by Klain’s cyclic rearrangement. (English) Zbl 1390.52006 Bull. Aust. Math. Soc. 97, No. 2, 313-319 (2018). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A10 52A40 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{D. Zhang}, Bull. Aust. Math. Soc. 97, No. 2, 313--319 (2018; Zbl 1390.52006) Full Text: DOI
Arutyunyan, Lavrentin M.; Kosov, Egor D. Deviation of polynomials from their expectations and isoperimetry. (English) Zbl 1429.60026 Bernoulli 24, No. 3, 2043-2063 (2018). MSC: 60E15 60G99 PDFBibTeX XMLCite \textit{L. M. Arutyunyan} and \textit{E. D. Kosov}, Bernoulli 24, No. 3, 2043--2063 (2018; Zbl 1429.60026) Full Text: DOI arXiv Euclid
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
Cufí, Julià; Gallego, Eduardo; Reventós, Agustí A note on Hurwitz’s inequality. (English) Zbl 1378.52008 J. Math. Anal. Appl. 458, No. 1, 436-451 (2018). MSC: 52A40 52A10 PDFBibTeX XMLCite \textit{J. Cufí} et al., J. Math. Anal. Appl. 458, No. 1, 436--451 (2018; Zbl 1378.52008) Full Text: DOI arXiv
Nguyen, Van Hoang Orlicz-Lorentz centroid bodies. (English) Zbl 1380.52011 Adv. Appl. Math. 92, 99-121 (2018). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Appl. Math. 92, 99--121 (2018; Zbl 1380.52011) Full Text: DOI arXiv