Vassallo, Salvatore On the minimal annulus of triangles and parallelograms. (English) Zbl 1508.52008 Armen. J. Math. 15, Paper No. 1, 15 p. (2023). Reviewer: Cătălin Barbu (Bačau) MSC: 52B60 51M25 52A10 52A40 52A38 PDF BibTeX XML Cite \textit{S. Vassallo}, Armen. J. Math. 15, Paper No. 1, 15 p. (2023; Zbl 1508.52008) Full Text: DOI
Nagasawa, Takeyuki; Nakamura, Kohei Asymptotic analysis for non-local curvature flows for plane curves with a general rotation number. (English) Zbl 1503.37055 Math. Eng. (Springfield) 3, No. 6, Paper No. 47, 26 p. (2021). MSC: 37E30 37E45 53A04 PDF BibTeX XML Cite \textit{T. Nagasawa} and \textit{K. Nakamura}, Math. Eng. (Springfield) 3, No. 6, Paper No. 47, 26 p. (2021; Zbl 1503.37055) Full Text: DOI arXiv
Zhang, Yan; Zeng, Chunna; Wang, Xingxing Some new Bonnesen-type inequalities of the tetrahedron in \({\mathbb{R}^3}\). (Chinese. English summary) Zbl 1488.52015 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 4, 989-996 (2021). MSC: 52A40 52A22 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 4, 989--996 (2021; Zbl 1488.52015)
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
McGrath, Peter An isoperimetric deficit formula. (English) Zbl 1470.53047 J. Geom. Anal. 31, No. 4, 3273-3279 (2021). Reviewer: Alessio Savini (Geneva) MSC: 53C24 PDF BibTeX XML Cite \textit{P. McGrath}, J. Geom. Anal. 31, No. 4, 3273--3279 (2021; Zbl 1470.53047) Full Text: DOI
Xu, Wenxue; Chang, Min Reverse Bonnesen-type inequalities for a surface of constant curvature. (Chinese. English summary) Zbl 1463.52010 Acta Math. Sin., Chin. Ser. 63, No. 4, 309-318 (2020). MSC: 52A40 52A10 PDF BibTeX XML Cite \textit{W. Xu} and \textit{M. Chang}, Acta Math. Sin., Chin. Ser. 63, No. 4, 309--318 (2020; Zbl 1463.52010)
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
Wang, Zhenyi The isoperimetric deficit of equichordal curves in \(\mathbb{R}^2\). (English) Zbl 1454.53007 Missouri J. Math. Sci. 31, No. 2, 192-200 (2019). MSC: 53A04 52A40 52A15 PDF BibTeX XML Cite \textit{Z. Wang}, Missouri J. Math. Sci. 31, No. 2, 192--200 (2019; Zbl 1454.53007) Full Text: DOI Euclid
Miclo, Laurent Isoperimetric stability of boundary barycenters in the plane. (Stabilité isopérimétrique des barycentres de frontière dans le plan.) (English. French summary) Zbl 1435.51009 Ann. Math. Blaise Pascal 26, No. 1, 67-80 (2019). MSC: 51M16 52A40 41A25 PDF BibTeX XML Cite \textit{L. Miclo}, Ann. Math. Blaise Pascal 26, No. 1, 67--80 (2019; Zbl 1435.51009) Full Text: DOI
Zhang, Deyan A note on the isoperimetric deficit. (English) Zbl 1451.52001 J. Math. Anal. Appl. 478, No. 1, 14-32 (2019). Reviewer: Martin Henk (Berlin) MSC: 52A10 53A04 PDF BibTeX XML Cite \textit{D. Zhang}, J. Math. Anal. Appl. 478, No. 1, 14--32 (2019; Zbl 1451.52001) Full Text: DOI
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
Tsai, Dong-Ho On flows that preserve parallel curves and their formation of singularities. (English) Zbl 1396.53092 J. Evol. Equ. 18, No. 2, 303-321 (2018). MSC: 53C44 35B40 35K15 35K55 PDF BibTeX XML Cite \textit{D.-H. Tsai}, J. Evol. Equ. 18, No. 2, 303--321 (2018; Zbl 1396.53092) 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 PDF BibTeX XML Cite \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
Wang, Wen; Chen, Yaping; Yang, Shiguo Bonnesen-style isoperimetric inequalities of an \(n\)-simplex. (English) Zbl 1389.52004 Commun. Math. Res. 33, No. 1, 19-25 (2017). MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{W. Wang} et al., Commun. Math. Res. 33, No. 1, 19--25 (2017; Zbl 1389.52004) Full Text: DOI
Bianchini, Chiara; Croce, Gisella; Henrot, Antoine On the quantitative isoperimetric inequality in the plane. (English) Zbl 1456.49034 ESAIM, Control Optim. Calc. Var. 23, No. 2, 517-549 (2017). MSC: 49Q20 28A75 49J45 49J53 49Q10 PDF BibTeX XML Cite \textit{C. Bianchini} et al., ESAIM, Control Optim. Calc. Var. 23, No. 2, 517--549 (2017; Zbl 1456.49034) Full Text: DOI arXiv
Dai, Yong; Wu, Xianrong; Liu, Chaojun Some reverse Bonnesen-style inequalities related to the Ros isoperimetric deficit. (Chinese. English summary) Zbl 1374.52009 Math. Pract. Theory 46, No. 18, 193-196 (2016). MSC: 52A40 52A10 PDF BibTeX XML Cite \textit{Y. Dai} et al., Math. Pract. Theory 46, No. 18, 193--196 (2016; Zbl 1374.52009)
Cufí, Julià; Reventós, Agustí A lower bound for the isoperimetric deficit. (English) Zbl 1368.52004 Elem. Math. 71, No. 4, 156-167 (2016). Reviewer: Pietro De Poi (Udine) MSC: 52A40 51M16 51M25 52A10 PDF BibTeX XML Cite \textit{J. Cufí} and \textit{A. Reventós}, Elem. Math. 71, No. 4, 156--167 (2016; Zbl 1368.52004) Full Text: DOI arXiv
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
Indrei, Emanuel A sharp lower bound on the polygonal isoperimetric deficit. (English) Zbl 1345.52005 Proc. Am. Math. Soc. 144, No. 7, 3115-3122 (2016). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 51M16 51M25 52A38 52A10 PDF BibTeX XML Cite \textit{E. Indrei}, Proc. Am. Math. Soc. 144, No. 7, 3115--3122 (2016; Zbl 1345.52005) Full Text: DOI arXiv
Wang, Pengfu; Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng On Bonnesen-style symmetric mixed inequality of two planar convex domains. (Chinese. English summary) Zbl 1488.52002 Sci. Sin., Math. 45, No. 3, 245-254 (2015). MSC: 52A10 52A40 52A22 PDF BibTeX XML Cite \textit{P. Wang} et al., Sci. Sin., Math. 45, No. 3, 245--254 (2015; Zbl 1488.52002) Full Text: DOI
Li, Zeqing; Hou, Linbo; Xu, Wenxue A Bonnesen-style inequality in the Euclidean space \(\mathbb{R}^n\). (Chinese. English summary) Zbl 1349.52003 Math. Pract. Theory 45, No. 21, 210-214 (2015). MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{Z. Li} et al., Math. Pract. Theory 45, No. 21, 210--214 (2015; Zbl 1349.52003)
Zhang, Hong; Luo, Yongchao; Xu, Wenxue On Bonnesen-style Ros isoperimetric inequalities. (Chinese. English summary) Zbl 1349.52009 Math. Pract. Theory 45, No. 17, 263-266 (2015). MSC: 52A40 PDF BibTeX XML Cite \textit{H. Zhang} et al., Math. Pract. Theory 45, No. 17, 263--266 (2015; Zbl 1349.52009)
Wang, Hejun; Wang, Pengfu; Xu, Wenxue; Zhou, Jiazu On Bonnesen-style symmetric mixed inequality. (English) Zbl 1358.52005 Suh, Young Jin (ed.) et al., Proceedings of the 19th international workshop on Hermitian-Grassmannian submanifolds and the 10th RIRCM-OCAMI joint differential geometry workshop, Daejeon, Korea, October 26–28, 2015. Taejŏn: National Institute for Mathematical Sciences (NIMS). 59-73 (2015). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A10 52A22 52A38 52A40 PDF BibTeX XML Cite \textit{H. Wang} et al., in: Proceedings of the 19th international workshop on Hermitian-Grassmannian submanifolds and the 10th RIRCM-OCAMI joint differential geometry workshop, Daejeon, South Korea, October 26--28, 2015. Taejŏn: National Institute for Mathematical Sciences (NIMS). 59--73 (2015; Zbl 1358.52005)
Bögelein, Verena; Duzaar, Frank; Scheven, Christoph A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space. (English) Zbl 1336.49055 Calc. Var. Partial Differ. Equ. 54, No. 4, 3967-4017 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 28A75 53A35 PDF BibTeX XML Cite \textit{V. Bögelein} et al., Calc. Var. Partial Differ. Equ. 54, No. 4, 3967--4017 (2015; Zbl 1336.49055) Full Text: DOI
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
Wang, Wen; Yang, Shiguo On Bonnesen-style isoperimetric inequalities for \(n\)-simplices. (English) Zbl 1309.51011 Math. Inequal. Appl. 18, No. 1, 133-144 (2015). MSC: 51M16 52A38 52A40 PDF BibTeX XML Cite \textit{W. Wang} and \textit{S. Yang}, Math. Inequal. Appl. 18, No. 1, 133--144 (2015; Zbl 1309.51011) Full Text: DOI
Cufí, Julià; Reventós, Agustí Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature. (English) Zbl 1340.53004 Arch. Math., Brno 50, No. 4, 219-236 (2014). Reviewer: Josef Janyška (Brno) MSC: 53A04 52A55 52A10 PDF BibTeX XML Cite \textit{J. Cufí} and \textit{A. Reventós}, Arch. Math., Brno 50, No. 4, 219--236 (2014; Zbl 1340.53004) Full Text: DOI arXiv
Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng Bonnesen-style symmetric mixed isoperimetric inequality. (English) Zbl 1319.52013 Suh, Young Jin (ed.) et al., Real and complex submanifolds. Proceedings of the ICM 2014 satellite conference and of the 18th international workshop on differential geometry, Daejeon, Korea, August 10–12, 2014. Tokyo: Springer (ISBN 978-4-431-55214-7/hbk; 978-4-431-55215-4/ebook). Springer Proceedings in Mathematics & Statistics 106, 97-107 (2014). MSC: 52A40 52A38 PDF BibTeX XML Cite \textit{W. Xu} et al., Springer Proc. Math. Stat. 106, 97--107 (2014; Zbl 1319.52013) Full Text: DOI
Lin, Yu-Chu; Tsai, Dong-Ho Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves. (English) Zbl 1319.52002 J. Evol. Equ. 14, No. 4-5, 779-794 (2014). Reviewer: Agota H. Temesvári (Pécs) MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{Y.-C. Lin} and \textit{D.-H. Tsai}, J. Evol. Equ. 14, No. 4--5, 779--794 (2014; Zbl 1319.52002) Full Text: DOI
Fusco, Nicola; Julin, Vesa A strong form of the quantitative isoperimetric inequality. (English) Zbl 1296.49041 Calc. Var. Partial Differ. Equ. 50, No. 3-4, 925-937 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 52A40 PDF BibTeX XML Cite \textit{N. Fusco} and \textit{V. Julin}, Calc. Var. Partial Differ. Equ. 50, No. 3--4, 925--937 (2014; Zbl 1296.49041) Full Text: DOI arXiv
Zhang, Hong; Xu, Wenxue; Li, Zeqing Remarks on the isoperimetric deficit of the planar isosceles trapezoids of constant width. (Chinese. English summary) Zbl 1313.52002 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1162-1168 (2013). MSC: 52A10 52A22 PDF BibTeX XML Cite \textit{H. Zhang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1162--1168 (2013; Zbl 1313.52002)
Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng On containment measure and the mixed isoperimetric inequality. (English) Zbl 1293.52002 J. Inequal. Appl. 2013, Paper No. 540, 11 p. (2013). MSC: 52A10 52A22 52A40 PDF BibTeX XML Cite \textit{W. Xu} et al., J. Inequal. Appl. 2013, Paper No. 540, 11 p. (2013; Zbl 1293.52002) Full Text: DOI
He, Gang; Jiang, Deshuo An upper bound of isoperimetric deficit for convex body in the Euclidean plane. (Chinese. English summary) Zbl 1289.52010 J. Math., Wuhan Univ. 33, No. 2, 349-353 (2013). MSC: 52A40 52A22 PDF BibTeX XML Cite \textit{G. He} and \textit{D. Jiang}, J. Math., Wuhan Univ. 33, No. 2, 349--353 (2013; Zbl 1289.52010)
Dai, Yong; Deng, Lingfang Notes on the isoperimetric deficit upper bounds of the oval surface in \(\mathbb R^3\). (Chinese. English summary) Zbl 1289.52002 J. Math., Wuhan Univ. 33, No. 1, 153-156 (2013). MSC: 52A15 52A40 PDF BibTeX XML Cite \textit{Y. Dai} and \textit{L. Deng}, J. Math., Wuhan Univ. 33, No. 1, 153--156 (2013; Zbl 1289.52002)
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
Zhou, Jiazu; Ma, Lei; Xu, Wenxue On the isoperimetric deficit upper limit. (English) Zbl 1266.52014 Bull. Korean Math. Soc. 50, No. 1, 175-184 (2013). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A40 52A10 52A22 52A38 PDF BibTeX XML Cite \textit{J. Zhou} et al., Bull. Korean Math. Soc. 50, No. 1, 175--184 (2013; Zbl 1266.52014) Full Text: DOI Link
He, Gang; Xu, Wenxue Notes on Bonnesen-style inequalities in the Euclidean plane. (Chinese. English summary) Zbl 1274.52010 J. Math., Wuhan Univ. 32, No. 6, 1115-1120 (2012). MSC: 52A40 PDF BibTeX XML Cite \textit{G. He} and \textit{W. Xu}, J. Math., Wuhan Univ. 32, No. 6, 1115--1120 (2012; Zbl 1274.52010)
Segal, Alexander Remark on stability of Brunn-Minkowski and isoperimetric inequalities for convex bodies. (English) Zbl 1283.52007 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GFA) 2006-2010. Berlin: Springer (ISBN 978-3-642-29848-6/pbk; 978-3-642-29849-3/ebook). Lecture Notes in Mathematics 2050, 381-391 (2012). Reviewer: Alexey Alimov (Moskva) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{A. Segal}, Lect. Notes Math. 2050, 381--391 (2012; Zbl 1283.52007) Full Text: DOI
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
Wang, Pengfu; Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng The generalized Bol-Fujiwara theorem. (English) Zbl 1266.52006 Suh, Young Jin (ed.) et al., Proceedings of the 16th international workshop on differential geometry and the 5th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, October 31–November 3, 2012. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 215-224 (2012). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A10 52A22 PDF BibTeX XML Cite \textit{P. Wang} et al., in: Proceedings of the 16th international workshop on differential geometry and the 5th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, October 31--November 3, 2012. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 215--224 (2012; Zbl 1266.52006)
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
Zeng, Chunna; Zhou, Jiazu; Yue, Shuangshan The symmetric mixed isoperimetric inequality of two planar convex domains. (Chinese. English summary) Zbl 1265.52003 Acta Math. Sin., Chin. Ser. 55, No. 2, 355-362 (2012). MSC: 52A10 52A22 52A40 51M16 PDF BibTeX XML Cite \textit{C. Zeng} et al., Acta Math. Sin., Chin. Ser. 55, No. 2, 355--362 (2012; Zbl 1265.52003)
Röger, Matthias; Schätzle, Reiner Control of the isoperimetric deficit by the Willmore deficit. (English) Zbl 1252.49069 Analysis, München 32, No. 1, 1-7 (2012). Reviewer: Manuel Ritoré (Granada) MSC: 49Q10 53A05 53A30 PDF BibTeX XML Cite \textit{M. Röger} and \textit{R. Schätzle}, Analysis, München 32, No. 1, 1--7 (2012; Zbl 1252.49069) Full Text: DOI arXiv
Dai, Yong; Ma, Lei Remarks on an isoperimetric deficit upper limit of the oval closed surface in \(R^3\). (Chinese. English summary) Zbl 1249.52009 Pure Appl. Math. 27, No. 5, 600-602, 608 (2011). MSC: 52A40 PDF BibTeX XML Cite \textit{Y. Dai} and \textit{L. Ma}, Pure Appl. Math. 27, No. 5, 600--602, 608 (2011; Zbl 1249.52009)
Alvino, Angelo; Ferone, Vincenzo; Nitsch, Carlo A sharp isoperimetric inequality in the plane. (English) Zbl 1219.52006 J. Eur. Math. Soc. (JEMS) 13, No. 1, 185-206 (2011). MSC: 52A40 52A10 49Q10 PDF BibTeX XML Cite \textit{A. Alvino} et al., J. Eur. Math. Soc. (JEMS) 13, No. 1, 185--206 (2011; Zbl 1219.52006) Full Text: DOI
Yue, Shuangshan; Xu, Wenxue; Zhou, Jiazu The isoperimetric deficit upper limit for the convex body in \(\mathbb R^n\). (English) Zbl 1223.52002 Suh, Young Jin (ed.) et al., Proceedings of the 14th international workshop on differential geometry and related fields and the 3rd KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, November 4–6, 2010. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 77-85 (2010). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52A10 52A15 52A22 PDF BibTeX XML Cite \textit{S. Yue} et al., in: Proceedings of the 14th international workshop on differential geometry and related fields and the 3rd KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, November 4--6, 2010. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 77--85 (2010; Zbl 1223.52002)
Li, Ming; Zhou, Jiazu An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature. (English) Zbl 1209.52004 Sci. China, Math. 53, No. 8, 1941-1946 (2010). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 52A10 52A22 52A55 53C65 PDF BibTeX XML Cite \textit{M. Li} and \textit{J. Zhou}, Sci. China, Math. 53, No. 8, 1941--1946 (2010; Zbl 1209.52004) Full Text: DOI
Brandolini, Barbara; Nitsch, Carlo; Trombetti, Cristina An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit. (English) Zbl 1194.35286 Arch. Math. 94, No. 4, 391-400 (2010). MSC: 35P15 35J62 35J92 35J25 26D10 PDF BibTeX XML Cite \textit{B. Brandolini} et al., Arch. Math. 94, No. 4, 391--400 (2010; Zbl 1194.35286) Full Text: DOI
Zhou, Jiazu; Zhou, Chuanting; Ma, Fang Isoperimetric deficit upper limit of a planar convex set. (English) Zbl 1470.52005 Caristi, Giuseppe (ed.), Proceedings of the VIIth international conference in “Stochastic geometry, convex bodies, empirical measures and applications to mechanics and engineering train-transport”, Messina, Italy, April 22–24, 2009. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 81, 363-367 (2009). MSC: 52A10 52A27 52A22 PDF BibTeX XML Cite \textit{J. Zhou} et al., Suppl. Rend. Circ. Mat. Palermo (2) 81, 363--367 (2009; Zbl 1470.52005)
Alvino, Angelo; Ferone, Vincenzo; Nitsch, Carlo A sharp isoperimetric inequality in the plane involving Hausdorff distance. (English) Zbl 1182.52008 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 4, 397-412 (2009). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A38 52A10 49Q10 PDF BibTeX XML Cite \textit{A. Alvino} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 4, 397--412 (2009; Zbl 1182.52008) Full Text: DOI Link
Klain, Daniel A. An error estimate for the isoperimetric deficit. (English) Zbl 1089.52007 Ill. J. Math. 49, No. 3, 981-992 (2005). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A38 52A30 PDF BibTeX XML Cite \textit{D. A. Klain}, Ill. J. Math. 49, No. 3, 981--992 (2005; Zbl 1089.52007)
Gardner, R. J.; Vassallo, S. Inequalities for dual isoperimetric deficits. (English) Zbl 0959.52006 Mathematika 45, No. 2, 269-285 (1998). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A40 52A30 PDF BibTeX XML Cite \textit{R. J. Gardner} and \textit{S. Vassallo}, Mathematika 45, No. 2, 269--285 (1998; Zbl 0959.52006) Full Text: DOI
Mao, Qiji On the isoperimetric deficit of a simplex and of a polygon. (English) Zbl 0858.51005 Geom. Dedicata 62, No. 1, 93-96 (1996). Reviewer: E.Quaisser (Potsdam) MSC: 51M16 51M25 PDF BibTeX XML Cite \textit{Q. Mao}, Geom. Dedicata 62, No. 1, 93--96 (1996; Zbl 0858.51005) Full Text: DOI
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Fuglede, Bent Capacity, convexity, and isoperimetric inequalities. (English) Zbl 0796.31002 Expo. Math. 11, No. 5, 455-464 (1993). Reviewer: W.Hansen (Bielefeld) MSC: 31B15 52A40 31A15 PDF BibTeX XML Cite \textit{B. Fuglede}, Expo. Math. 11, No. 5, 455--464 (1993; Zbl 0796.31002)
Fuglede, Bent Lower estimate of the isoperimetric deficit of convex domains in \(\mathbb{R}^ n\) in terms of asymmetry. (English) Zbl 0806.53067 Geom. Dedicata 47, No. 1, 41-48 (1993). Reviewer: K.Leichtweiss (Stuttgart) MSC: 53C65 52A40 PDF BibTeX XML Cite \textit{B. Fuglede}, Geom. Dedicata 47, No. 1, 41--48 (1993; Zbl 0806.53067) Full Text: DOI
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Fáry, István The isoperimetric deficit as the integral of a positive function. (English) Zbl 0605.52004 Bull. Sci. Math., II. Sér. 110, 315-334 (1986). Reviewer: L.A.Santaló MSC: 52A40 51M25 28A75 PDF BibTeX XML Cite \textit{I. Fáry}, Bull. Sci. Math., II. Sér. 110, 315--334 (1986; Zbl 0605.52004)
Naveira, A. M.; Segura, S. The isoperimetric inequality and the geodesic spheres. Some geometric consequences. (English) Zbl 0604.53017 Differential geometry, Proc. 2nd Int. Symp., Peñíscola/Spain 1985, Lect. Notes Math. 1209, 235-242 (1986). Reviewer: L.Vanhecke MSC: 53C20 53B20 PDF BibTeX XML
Fary, Istvan Expectation of the isoperimetric deficit: Renyi’s integral. (English) Zbl 0509.60015 Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 289-295 (1983). MSC: 60D05 52A10 PDF BibTeX XML Cite \textit{I. Fary}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 289--295 (1983; Zbl 0509.60015) Full Text: DOI