Liu, Lei; Wang, Guofang; Weng, Liangjun The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space. (English) Zbl 07679864 J. Funct. Anal. 285, No. 2, Article ID 109945, 22 p. (2023). MSC: 53A10 53C40 53A07 35A23 PDF BibTeX XML Cite \textit{L. Liu} et al., J. Funct. Anal. 285, No. 2, Article ID 109945, 22 p. (2023; Zbl 07679864) Full Text: DOI OpenURL
Qiang, Tao; Weng, Liangjun; Xia, Chao A locally constrained mean curvature type flow with free boundary in a hyperbolic ball. (English) Zbl 07676318 Proc. Am. Math. Soc. 151, No. 6, 2641-2653 (2023). MSC: 53E10 35K93 53C21 PDF BibTeX XML Cite \textit{T. Qiang} et al., Proc. Am. Math. Soc. 151, No. 6, 2641--2653 (2023; Zbl 07676318) Full Text: DOI OpenURL
Fusco, N.; Morini, M. Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains. (English) Zbl 07653689 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 102, 32 p. (2023). Reviewer: Siran Li (Shanghai) MSC: 49Q20 49Q05 PDF BibTeX XML Cite \textit{N. Fusco} and \textit{M. Morini}, Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 102, 32 p. (2023; Zbl 07653689) Full Text: DOI arXiv OpenURL
Weng, Liangjun; Xia, Chao Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball. (English) Zbl 07612781 Trans. Am. Math. Soc. 375, No. 12, 8851-8883 (2022). Reviewer: Yong Wei (Hefei) MSC: 53C21 35K96 52A40 PDF BibTeX XML Cite \textit{L. Weng} and \textit{C. Xia}, Trans. Am. Math. Soc. 375, No. 12, 8851--8883 (2022; Zbl 07612781) Full Text: DOI arXiv OpenURL
Bobkov, Sergey G.; Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie Polar isoperimetry. I: The case of the plane. (English) Zbl 1445.26016 Gozlan, Nathael (ed.) et al., High dimensional probability VIII. The Oaxaca volume. Selected papers based on the presentations at the 8th conference on high-dimensional probability, HDP VIII, Casa Matemática Oaxaca (CMO), Mexico, May 28 – June 2, 2017. Cham: Birkhäuser. Prog. Probab. 74, 21-31 (2019). Reviewer: Martin Lukarevski (Skopje) MSC: 26D07 51M16 PDF BibTeX XML Cite \textit{S. G. Bobkov} et al., Prog. Probab. 74, 21--31 (2019; Zbl 1445.26016) Full Text: DOI OpenURL
Walter, Rolf On a minimax problem for ovals. (English) Zbl 1380.51012 Minimax Theory Appl. 2, No. 2, 285-318 (2017). Reviewer: Boris Rubin (Baton Rouge) MSC: 51K05 52A10 52A40 53A04 57Q55 52A27 51E21 PDF BibTeX XML Cite \textit{R. Walter}, Minimax Theory Appl. 2, No. 2, 285--318 (2017; Zbl 1380.51012) Full Text: arXiv Link OpenURL
Menne, Ulrich Weakly differentiable functions on varifolds. (English) Zbl 1350.49067 Indiana Univ. Math. J. 65, No. 3, 977-1088 (2016). Reviewer: Andrew Bucki (Edmond) MSC: 49Q15 49Q20 46E35 PDF BibTeX XML Cite \textit{U. Menne}, Indiana Univ. Math. J. 65, No. 3, 977--1088 (2016; Zbl 1350.49067) Full Text: DOI arXiv OpenURL
Thomas, Marita Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains. (English) Zbl 1348.46043 Discrete Contin. Dyn. Syst. 35, No. 6, 2741-2761 (2015). MSC: 46E35 26D10 52A38 PDF BibTeX XML Cite \textit{M. Thomas}, Discrete Contin. Dyn. Syst. 35, No. 6, 2741--2761 (2015; Zbl 1348.46043) Full Text: DOI OpenURL
van Schaftingen, Jean Equivalence between Pólya-Szegő and relative capacity inequalities under rearrangement. (English) Zbl 1305.26057 Arch. Math. 103, No. 4, 367-379 (2014). Reviewer: Peter S. Bullen (Vancouver) MSC: 26D15 35A23 46E35 PDF BibTeX XML Cite \textit{J. van Schaftingen}, Arch. Math. 103, No. 4, 367--379 (2014; Zbl 1305.26057) Full Text: DOI arXiv OpenURL
Werner, Elisabeth M. \(f\)-divergence for convex bodies. (English) Zbl 1276.52006 Ludwig, Monika (ed.) et al., Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4614-6405-1/hbk; 978-1-4614-6406-8/ebook). Fields Institute Communications 68, 381-395 (2013). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 53A15 PDF BibTeX XML Cite \textit{E. M. Werner}, Fields Inst. Commun. 68, 381--395 (2013; Zbl 1276.52006) Full Text: DOI arXiv OpenURL
Figalli, A.; Indrei, E. A sharp stability result for the relative isoperimetric inequality inside convex cones. (English) Zbl 1262.49045 J. Geom. Anal. 23, No. 2, 938-969 (2013). MSC: 49Q20 PDF BibTeX XML Cite \textit{A. Figalli} and \textit{E. Indrei}, J. Geom. Anal. 23, No. 2, 938--969 (2013; Zbl 1262.49045) Full Text: DOI arXiv OpenURL
Della Pietra, Francesco; Gavitone, Nunzia Relative isoperimetric inequality in the plane: the anisotropic case. (English) Zbl 1270.52009 J. Convex Anal. 20, No. 1, 157-180 (2013). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A40 PDF BibTeX XML Cite \textit{F. Della Pietra} and \textit{N. Gavitone}, J. Convex Anal. 20, No. 1, 157--180 (2013; Zbl 1270.52009) Full Text: arXiv Link OpenURL
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 OpenURL
Brock, F.; Chiacchio, F.; Mercaldo, A. A class of degenerate elliptic equations and a Dido’s problem with respect to a measure. (English) Zbl 1156.35048 J. Math. Anal. Appl. 348, No. 1, 356-365 (2008). MSC: 35J70 35J25 PDF BibTeX XML Cite \textit{F. Brock} et al., J. Math. Anal. Appl. 348, No. 1, 356--365 (2008; Zbl 1156.35048) Full Text: DOI OpenURL
Choe, Jaigyoung; Ritoré, Manuel The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds. (English) Zbl 1119.53031 J. Reine Angew. Math. 605, 179-191 (2007). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 53C25 49Q20 PDF BibTeX XML Cite \textit{J. Choe} and \textit{M. Ritoré}, J. Reine Angew. Math. 605, 179--191 (2007; Zbl 1119.53031) Full Text: DOI OpenURL
Choe, Jaigyoung The double cover relative to a convex domain and the relative isoperimetric inequality. (English) Zbl 1108.49033 J. Aust. Math. Soc. 80, No. 3, 375-382 (2006). Reviewer: Harold Parks (Corvallis) (MR2236045) MSC: 49Q20 58E35 PDF BibTeX XML Cite \textit{J. Choe}, J. Aust. Math. Soc. 80, No. 3, 375--382 (2006; Zbl 1108.49033) Full Text: DOI OpenURL
Cerdán, A.; Schnell, U.; Segura Gomis, S. On relative geometric inequalities. (English) Zbl 1048.52004 Math. Inequal. Appl. 7, No. 1, 135-148 (2004). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A10 PDF BibTeX XML Cite \textit{A. Cerdán} et al., Math. Inequal. Appl. 7, No. 1, 135--148 (2004; Zbl 1048.52004) Full Text: DOI OpenURL
Gajewski, Herbert An application of eigenfunctions of \(p\)-Laplacians to domain separation. (English) Zbl 0979.35041 Math. Bohem. 126, No. 2, 395-401 (2001). MSC: 35J20 58E12 PDF BibTeX XML Cite \textit{H. Gajewski}, Math. Bohem. 126, No. 2, 395--401 (2001; Zbl 0979.35041) Full Text: EuDML OpenURL
Kim, Inho An optimal relative isoperimetric inequality in concave cylindrical domains in \(\mathbb{R}^n\). (English) Zbl 0949.51007 J. Inequal. Appl. 5, No. 2, 97-102 (2000). Reviewer: Horst Martini (Chemnitz) MSC: 51M16 PDF BibTeX XML Cite \textit{I. Kim}, J. Inequal. Appl. 5, No. 2, 97--102 (2000; Zbl 0949.51007) Full Text: DOI EuDML OpenURL
Talenti, Giorgio A weighted version of a rearrangement inequality. (English) Zbl 0936.26007 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 43, 121-133 (1997). Reviewer: B.Kawohl (Köln) MSC: 26D10 51M16 49Q20 PDF BibTeX XML Cite \textit{G. Talenti}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 43, 121--133 (1997; Zbl 0936.26007) OpenURL
Manhart, F. Kennzeichnungen euklidischer Hypersphären durch isoperimetrische Ungleichungen. (Characterization of Euclidean hyperspheres by isoperimetric inequalities). (English) Zbl 0715.53007 Glas. Mat., III. Ser. 24(44), No. 4, 541-555 (1989). Reviewer: K.Leichtweiß MSC: 53A07 53A15 53C40 PDF BibTeX XML Cite \textit{F. Manhart}, Glas. Mat., III. Ser. 24(44), No. 4, 541--555 (1989; Zbl 0715.53007) 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