Fusco, Nicola; Julin, Vesa; Morini, Massimiliano Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane. (English) Zbl 1493.53113 J. Geom. Anal. 32, No. 2, Paper No. 53, 29 p. (2022). MSC: 53E10 PDF BibTeX XML Cite \textit{N. Fusco} et al., J. Geom. Anal. 32, No. 2, Paper No. 53, 29 p. (2022; Zbl 1493.53113) Full Text: DOI arXiv OpenURL
Zhang, Deyan The lower bounds of the mixed isoperimetric deficit. (English) Zbl 1471.52007 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 2863-2872 (2021). MSC: 52A40 52A10 52A38 PDF BibTeX XML Cite \textit{D. Zhang}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 2863--2872 (2021; Zbl 1471.52007) Full Text: DOI OpenURL
Crasta, Graziano; Fragalà, Ilaria The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators. (English) Zbl 1432.49031 Adv. Math. 359, Article ID 106855, 24 p. (2020). Reviewer: Petr Tomiczek (Plzeň) MSC: 49K20 49Q10 35J60 35P15 47J10 26A51 52A20 39B62 PDF BibTeX XML Cite \textit{G. Crasta} and \textit{I. Fragalà}, Adv. Math. 359, Article ID 106855, 24 p. (2020; Zbl 1432.49031) Full Text: DOI arXiv OpenURL
Wang, Yuanyuan; Wang, Xingxing; Zeng, Chunna On Bonnesen-style symmetric mixed isohomothetic inequality in \(\mathbb{R}^2\). (English) Zbl 1499.52005 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1319-1329 (2019). MSC: 52A20 52A22 52A40 PDF BibTeX XML Cite \textit{Y. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1319--1329 (2019; Zbl 1499.52005) Full Text: DOI OpenURL
Wang, Pengfu A sharp reverse Bonnesen-style inequality and generalization. (English) Zbl 1499.52017 J. Inequal. Appl. 2019, Paper No. 87, 12 p. (2019). MSC: 52A40 52A10 52A22 52A20 53A17 PDF BibTeX XML Cite \textit{P. Wang}, J. Inequal. Appl. 2019, Paper No. 87, 12 p. (2019; Zbl 1499.52017) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Chang}, J. Inequal. Appl. 2018, Paper No. 325, 10 p. (2018; Zbl 1498.52013) Full Text: DOI OpenURL
Tsukerman, Emmanuel; Veomett, Ellen Brunn-Minkowski theory and Cauchy’s surface area formula. (English) Zbl 1391.52008 Am. Math. Mon. 124, No. 10, 922-929 (2017). MSC: 52A38 28A75 PDF BibTeX XML Cite \textit{E. Tsukerman} and \textit{E. Veomett}, Am. Math. Mon. 124, No. 10, 922--929 (2017; Zbl 1391.52008) Full Text: DOI OpenURL
Zhang, Zengle; Zhou, Jiazu Bonnesen-style Wulff isoperimetric inequality. (English) Zbl 1362.52004 J. Inequal. Appl. 2017, Paper No. 42, 12 p. (2017). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A40 52A10 52A22 52A38 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{J. Zhou}, J. Inequal. Appl. 2017, Paper No. 42, 12 p. (2017; Zbl 1362.52004) Full Text: DOI OpenURL
Pan, Shengliang; Yang, Yunlong; Huang, Pingliang The \(\varepsilon\)-positive center set and its applications. (L’ensemble des centres \(\varepsilon\)-positifs et ses applications.) (English. French summary) Zbl 1370.52004 C. R., Math., Acad. Sci. Paris 354, No. 2, 195-200 (2016). Reviewer: Martin Henk (Berlin) MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{S. Pan} et al., C. R., Math., Acad. Sci. Paris 354, No. 2, 195--200 (2016; Zbl 1370.52004) Full Text: DOI OpenURL
Wang, Pengfu; Luo, Miao; Zhou, Jiazu Bonnesen-style symmetric mixed inequalities. (English) Zbl 1347.52003 J. Inequal. Appl. 2016, Paper No. 208, 13 p. (2016). MSC: 52A10 52A22 PDF BibTeX XML Cite \textit{P. Wang} et al., J. Inequal. Appl. 2016, Paper No. 208, 13 p. (2016; Zbl 1347.52003) Full Text: DOI OpenURL
Yang, Yunlong; Zhang, Deyan The Green-Osher inequality in relative geometry. (English) Zbl 1358.52014 Bull. Aust. Math. Soc. 94, No. 1, 155-164 (2016). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 52A38 52A10 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{D. Zhang}, Bull. Aust. Math. Soc. 94, No. 1, 155--164 (2016; Zbl 1358.52014) Full Text: DOI OpenURL
Luo, Miao; Xu, WenXue; Zhou, JiaZu Translative containment measure and symmetric mixed isohomothetic inequalities. (English) Zbl 1343.52002 Sci. China, Math. 58, No. 12, 2593-2610 (2015). MSC: 52A10 52A22 52A40 PDF BibTeX XML Cite \textit{M. Luo} et al., Sci. China, Math. 58, No. 12, 2593--2610 (2015; Zbl 1343.52002) Full Text: DOI OpenURL
Huang, Pingliang; Pan, Shengliang; Yang, Yunlong Positive center sets of convex curves. (English) Zbl 1327.52005 Discrete Comput. Geom. 54, No. 3, 728-740 (2015). MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{P. Huang} et al., Discrete Comput. Geom. 54, No. 3, 728--740 (2015; Zbl 1327.52005) Full Text: DOI OpenURL
Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng On Bonnesen-type inequalities for a surface of constant curvature. (English) Zbl 1323.52004 Proc. Am. Math. Soc. 143, No. 11, 4925-4935 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A22 52A10 52A55 52A40 PDF BibTeX XML Cite \textit{W. Xu} et al., Proc. Am. Math. Soc. 143, No. 11, 4925--4935 (2015; Zbl 1323.52004) Full Text: DOI OpenURL
Saorín Gómez, Eugenia; Yepes Nicolás, Jesús Linearity of the volume. Looking for a characterization of sausages. (English) Zbl 1300.52008 J. Math. Anal. Appl. 421, No. 2, 1081-1100 (2015). MSC: 52A38 PDF BibTeX XML Cite \textit{E. Saorín Gómez} and \textit{J. Yepes Nicolás}, J. Math. Anal. Appl. 421, No. 2, 1081--1100 (2015; Zbl 1300.52008) Full Text: DOI OpenURL
Xu, Wenxue; Zeng, Chunna; Zhou, Jiazu Some Bonnesen-style Minkowski inequalities. (English) Zbl 1336.52009 J. Inequal. Appl. 2014, Paper No. 270, 10 p. (2014). MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{W. Xu} et al., J. Inequal. Appl. 2014, Paper No. 270, 10 p. (2014; Zbl 1336.52009) Full Text: DOI OpenURL
Xia, YunWei; Xu, WenXue; Zhou, JiaZu; Zhu, BaoCheng Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature. (English) Zbl 1306.52002 Sci. China, Math. 56, No. 6, 1145-1154 (2013). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A10 52A22 53A35 52A40 PDF BibTeX XML Cite \textit{Y. Xia} et al., Sci. China, Math. 56, No. 6, 1145--1154 (2013; Zbl 1306.52002) Full Text: DOI OpenURL
Cicalese, Marco; Leonardi, Gian Paolo Best constants for the isoperimetric inequality in quantitative form. (English) Zbl 1267.49035 J. Eur. Math. Soc. (JEMS) 15, No. 3, 1101-1129 (2013). MSC: 49Q20 49J45 28A75 PDF BibTeX XML Cite \textit{M. Cicalese} and \textit{G. P. Leonardi}, J. Eur. Math. Soc. (JEMS) 15, No. 3, 1101--1129 (2013; Zbl 1267.49035) Full Text: DOI arXiv OpenURL
Freiman, G. A.; Grynkiewicz, D.; Serra, O.; Stanchescu, Y. V. Inverse additive problems for Minkowski sumsets. II. (English) Zbl 1273.52004 J. Geom. Anal. 23, No. 1, 395-414 (2013). Reviewer: Peter M. Gruber (Wien) MSC: 52A20 52A40 11P70 11B13 26B25 PDF BibTeX XML Cite \textit{G. A. Freiman} et al., J. Geom. Anal. 23, No. 1, 395--414 (2013; Zbl 1273.52004) Full Text: DOI arXiv OpenURL
Zhou, Jia Zu; Du, Yan Hua; Cheng, Fei Some Bonnesen-style inequalities for higher dimensions. (English) Zbl 1272.52006 Acta Math. Sin., Engl. Ser. 28, No. 12, 2561-2568 (2012). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{J. Z. Zhou} et al., Acta Math. Sin., Engl. Ser. 28, No. 12, 2561--2568 (2012; Zbl 1272.52006) Full Text: DOI OpenURL
Zeng, ChunNa; Ma, Lei; Zhou, JiaZu; Chen, FangWei The Bonnesen isoperimetric inequality in a surface of constant curvature. (English) Zbl 1260.52007 Sci. China, Math. 55, No. 9, 1913-1919 (2012). MSC: 52A40 52A10 52A22 PDF BibTeX XML Cite \textit{C. Zeng} et al., Sci. China, Math. 55, No. 9, 1913--1919 (2012; Zbl 1260.52007) Full Text: DOI OpenURL
Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo Intersections of dilatates of convex bodies. (English) Zbl 1251.52001 Trans. Am. Math. Soc. 364, No. 3, 1193-1210 (2012). Reviewer: Alina Stancu (Lowell) MSC: 52A20 52A40 52A38 PDF BibTeX XML Cite \textit{S. Campi} et al., Trans. Am. Math. Soc. 364, No. 3, 1193--1210 (2012; Zbl 1251.52001) Full Text: DOI OpenURL
Kloeckner, Benoît Sharp quantitative isoperimetric inequalities in the \(L^1\) Minkowski plane. (English) Zbl 1207.52007 Proc. Am. Math. Soc. 138, No. 10, 3671-3678 (2010). Reviewer: Mowaffaq Hajja (Irbid) MSC: 52A40 49Q20 51M25 51M16 PDF BibTeX XML Cite \textit{B. Kloeckner}, Proc. Am. Math. Soc. 138, No. 10, 3671--3678 (2010; Zbl 1207.52007) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias Differentiability of volumes of divisors and a problem of Teissier. (English) Zbl 1162.14003 J. Algebr. Geom. 18, No. 2, 279-308 (2009). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14C20 PDF BibTeX XML Cite \textit{S. Boucksom} et al., J. Algebr. Geom. 18, No. 2, 279--308 (2009; Zbl 1162.14003) Full Text: DOI arXiv OpenURL
Henk, Martin; Hernández Cifre, María A. Notes on the roots of Steiner polynomials. (English) Zbl 1158.52003 Rev. Mat. Iberoam. 24, No. 2, 631-644 (2008). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 52A39 30C15 PDF BibTeX XML Cite \textit{M. Henk} and \textit{M. A. Hernández Cifre}, Rev. Mat. Iberoam. 24, No. 2, 631--644 (2008; Zbl 1158.52003) Full Text: DOI arXiv Euclid EuDML OpenURL
Hernández Cifre, María A.; Herrero Piñeyro, Pedro J. Optimizing geometric measures for fixed minimal annulus and inradius. (English) Zbl 1149.52009 Rev. Mat. Iberoam. 23, No. 3, 953-971 (2007). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 52A10 52A38 PDF BibTeX XML Cite \textit{M. A. Hernández Cifre} and \textit{P. J. Herrero Piñeyro}, Rev. Mat. Iberoam. 23, No. 3, 953--971 (2007; Zbl 1149.52009) Full Text: DOI Euclid EuDML OpenURL
Brannen, Noah Samuel The Wills conjecture. (English) Zbl 0888.52007 Trans. Am. Math. Soc. 349, No. 10, 3977-3987 (1997). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A40 52A38 PDF BibTeX XML Cite \textit{N. S. Brannen}, Trans. Am. Math. Soc. 349, No. 10, 3977--3987 (1997; Zbl 0888.52007) Full Text: DOI OpenURL
Peri, Carla Minimal shells containing a convex surface in Minkowski space. (English) Zbl 0866.52004 Manuscr. Math. 90, No. 3, 333-342 (1996). Reviewer: K.Leichtweiß (Stuttgart) MSC: 52A21 PDF BibTeX XML Cite \textit{C. Peri}, Manuscr. Math. 90, No. 3, 333--342 (1996; Zbl 0866.52004) Full Text: DOI EuDML OpenURL
Carron, Gilles Isoperimetric stability. (Stabilité isopérimétrique.) (French) Zbl 0865.53027 Math. Ann. 306, No. 2, 323-340 (1996). Reviewer: G.Carron (Lyon) MSC: 53C20 53C65 PDF BibTeX XML Cite \textit{G. Carron}, Math. Ann. 306, No. 2, 323--340 (1996; Zbl 0865.53027) Full Text: DOI EuDML OpenURL
Alarcon, Eberth; Stolarsky, Kenneth B. Local diameters of compact planar sets. (English) Zbl 0844.51009 J. Geom. 55, No. 1-2, 5-22 (1996). Reviewer: I.Bárány (Budapest) MSC: 51M04 52A10 51M16 PDF BibTeX XML Cite \textit{E. Alarcon} and \textit{K. B. Stolarsky}, J. Geom. 55, No. 1--2, 5--22 (1996; Zbl 0844.51009) Full Text: DOI OpenURL
Peri, C.; Vassallo, S. Minimal properties for convex annuli of plane convex curves. (English) Zbl 0820.52002 Arch. Math. 64, No. 3, 254-263 (1995). Reviewer: C.Peri (Milano) MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{C. Peri} and \textit{S. Vassallo}, Arch. Math. 64, No. 3, 254--263 (1995; Zbl 0820.52002) Full Text: DOI OpenURL
Gage, Michael E. Evolving plane curves by curvature in relative geometries. (English) Zbl 0798.53041 Duke Math. J. 72, No. 2, 441-466 (1993). Reviewer: Hai Li Liu (Berlin) MSC: 53C20 53A15 53A04 PDF BibTeX XML Cite \textit{M. E. Gage}, Duke Math. J. 72, No. 2, 441--466 (1993; Zbl 0798.53041) Full Text: DOI OpenURL
Peri, Carla; Wills, Jörg M.; Zucco, Andreana On Blaschke’s extension of Bonnesen’s inequality. (English) Zbl 0787.52004 Geom. Dedicata 48, No. 3, 349-357 (1993). Reviewer: H.Martini (Dresden) MSC: 52A40 PDF BibTeX XML Cite \textit{C. Peri} et al., Geom. Dedicata 48, No. 3, 349--357 (1993; Zbl 0787.52004) Full Text: DOI OpenURL
Zucco, Andreana The generic contact of convex bodies with circumscribed homothets of a convex surface. (English) Zbl 0748.52008 Discrete Comput. Geom. 7, No. 3, 319-323 (1992). Reviewer: L.A.Santaló (Buenos Aires) MSC: 52A20 PDF BibTeX XML Cite \textit{A. Zucco}, Discrete Comput. Geom. 7, No. 3, 319--323 (1992; Zbl 0748.52008) Full Text: DOI EuDML OpenURL
Alexander, Kenneth S. Stability of the Wulff minimum and fluctuations in shape for large finite clusters in two-dimensional percolation. (English) Zbl 0739.60089 Probab. Theory Relat. Fields 91, No. 3-4, 507-532 (1992). Reviewer: K.S.Alexander (Los Angeles) MSC: 60K35 52A40 PDF BibTeX XML Cite \textit{K. S. Alexander}, Probab. Theory Relat. Fields 91, No. 3--4, 507--532 (1992; Zbl 0739.60089) Full Text: DOI OpenURL
Zucco, Andreana Minimal shell of a typical convex body. (English) Zbl 0701.52001 Proc. Am. Math. Soc. 109, No. 3, 797-802 (1990). Reviewer: K.Nikodem MSC: 52A20 54E52 PDF BibTeX XML Cite \textit{A. Zucco}, Proc. Am. Math. Soc. 109, No. 3, 797--802 (1990; Zbl 0701.52001) Full Text: DOI OpenURL
Zucco, Andreana Minimal annulus of a convex body. (English) Zbl 0648.52001 Arch. Math. 52, No. 1, 92-94 (1989). Reviewer: A.Zucco MSC: 52A10 28A05 PDF BibTeX XML Cite \textit{A. Zucco}, Arch. Math. 52, No. 1, 92--94 (1989; Zbl 0648.52001) Full Text: DOI OpenURL
Martini, Horst On inner quermasses of convex bodies. (English) Zbl 0637.52010 Arch. Math. 52, No. 4, 402-406 (1989). Reviewer: H.Martini MSC: 52A40 PDF BibTeX XML Cite \textit{H. Martini}, Arch. Math. 52, No. 4, 402--406 (1989; Zbl 0637.52010) Full Text: DOI OpenURL
Sangwine-Yager, J. R. Bonnesen-style inequalities for Minkowski relative geometry. (English) Zbl 0652.52010 Trans. Am. Math. Soc. 307, No. 1, 373-382 (1988). Reviewer: H.Martini MSC: 52A40 PDF BibTeX XML Cite \textit{J. R. Sangwine-Yager}, Trans. Am. Math. Soc. 307, No. 1, 373--382 (1988; Zbl 0652.52010) Full Text: DOI OpenURL
Bokowski, Jürgen; Heil, Erhard Integral representations of quermass-integrals and Bonnesen-Style inequalities. (English) Zbl 0576.52005 Arch. Math. 47, 79-89 (1986). MSC: 52A40 53A05 PDF BibTeX XML Cite \textit{J. Bokowski} and \textit{E. Heil}, Arch. Math. 47, 79--89 (1986; Zbl 0576.52005) Full Text: DOI OpenURL
Gupta, Somesh Das Brunn-Minkowski inequality and its aftermath. (English) Zbl 0467.26008 J. Multivariate Anal. 10, 296-318 (1980). MSC: 26D15 28A20 52A40 28A75 62E99 62H99 PDF BibTeX XML Cite \textit{S. D. Gupta}, J. Multivariate Anal. 10, 296--318 (1980; Zbl 0467.26008) Full Text: DOI OpenURL
Dancs, S.; Uhrin, B. On a class of integral inequalities and their measure-theoretic consequences. (English) Zbl 0442.26011 J. Math. Anal. Appl. 74, 388-400 (1980). MSC: 26D15 52A22 52A40 28A75 PDF BibTeX XML Cite \textit{S. Dancs} and \textit{B. Uhrin}, J. Math. Anal. Appl. 74, 388--400 (1980; Zbl 0442.26011) Full Text: DOI OpenURL
Dubuc, Serge Critères de convexité et inégalités intégrales. (French) Zbl 0331.26008 Ann. Inst. Fourier 27, No. 1, 135-165 (1977). MSC: 26A51 26D15 PDF BibTeX XML Cite \textit{S. Dubuc}, Ann. Inst. Fourier 27, No. 1, 135--165 (1977; Zbl 0331.26008) Full Text: DOI Numdam EuDML OpenURL
Osserman, Robert Some remarks on the isoperimetric inequality and a problem of Gehring. (English) Zbl 0333.52006 J. Anal. Math. 30, 404-410 (1976). MSC: 52A40 53A05 53A10 PDF BibTeX XML Cite \textit{R. Osserman}, J. Anal. Math. 30, 404--410 (1976; Zbl 0333.52006) Full Text: DOI OpenURL
Borell, Christer Integral inequalities for generalized concave or convex functions. (English) Zbl 0265.26012 J. Math. Anal. Appl. 43, 419-440 (1973). MSC: 26D15 26A51 PDF BibTeX XML Cite \textit{C. Borell}, J. Math. Anal. Appl. 43, 419--440 (1973; Zbl 0265.26012) Full Text: DOI OpenURL
Knothe, H. Bemerkungen zur Isoperimetrie des Kreises auf der Kugel. (German) Zbl 0219.52005 Arch. Math. 22, 325-327 (1971). MSC: 52A40 52A55 PDF BibTeX XML Cite \textit{H. Knothe}, Arch. Math. 22, 325--327 (1971; Zbl 0219.52005) Full Text: DOI OpenURL
Kaufman, R. P.; Rickert, N. W. An inequality concerning measures. (English) Zbl 0144.29803 Bull. Am. Math. Soc. 72, 672-676 (1966). PDF BibTeX XML Cite \textit{R. P. Kaufman} and \textit{N. W. Rickert}, Bull. Am. Math. Soc. 72, 672--676 (1966; Zbl 0144.29803) Full Text: DOI OpenURL