Kristály, Alexandru; Mester, Ágnes; Mezei, Ildikó I. Sharp Morrey-Sobolev inequalities and eigenvalue problems on Riemannian-Finsler manifolds with nonnegative Ricci curvature. (English) Zbl 07741152 Commun. Contemp. Math. 25, No. 10, Article ID 2250063, 27 p. (2023). MSC: 53C20 53C60 58J05 PDF BibTeX XML Cite \textit{A. Kristály} et al., Commun. Contemp. Math. 25, No. 10, Article ID 2250063, 27 p. (2023; Zbl 07741152) Full Text: DOI arXiv
Myrikova, V. A. An isoperimetric problem on the Lobachevsky plane with a left-invariant Finsler structure. (English. Russian original) Zbl 07738532 Proc. Steklov Inst. Math. 321, 208-221 (2023); translation from Tr. Mat. Inst. Steklova 321, 223-236 (2023). MSC: 53C60 PDF BibTeX XML Cite \textit{V. A. Myrikova}, Proc. Steklov Inst. Math. 321, 208--221 (2023; Zbl 07738532); translation from Tr. Mat. Inst. Steklova 321, 223--236 (2023) Full Text: DOI
Mai, Cong Hung; Ohta, Shin-ichi Quantitative estimates for the Bakry-Ledoux isoperimetric inequality. II. (English) Zbl 07731251 Bull. Lond. Math. Soc. 55, No. 1, 224-233 (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 53C21 49Q10 49Q20 PDF BibTeX XML Cite \textit{C. H. Mai} and \textit{S.-i. Ohta}, Bull. Lond. Math. Soc. 55, No. 1, 224--233 (2023; Zbl 07731251) Full Text: DOI arXiv
McGillivray, I. Some isoperimetric inequalities in the plane with radial power weights. (English) Zbl 07730893 J. Geom. Anal. 33, No. 11, Paper No. 344, 78 p. (2023). MSC: 26D10 51M16 53A10 46E35 PDF BibTeX XML Cite \textit{I. McGillivray}, J. Geom. Anal. 33, No. 11, Paper No. 344, 78 p. (2023; Zbl 07730893) Full Text: DOI arXiv
Chen, Daguang; Li, Haizhong; Wei, Yilun Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds. (English) Zbl 07727514 Int. J. Math. 34, No. 8, Article ID 2350045, 19 p. (2023). MSC: 53C42 31B25 35J25 PDF BibTeX XML Cite \textit{D. Chen} et al., Int. J. Math. 34, No. 8, Article ID 2350045, 19 p. (2023; Zbl 07727514) Full Text: DOI arXiv
Steinerberger, Stefan The boundary of a graph and its isoperimetric inequality. (English) Zbl 07721334 Discrete Appl. Math. 338, 125-134 (2023). MSC: 05C12 05C10 PDF BibTeX XML Cite \textit{S. Steinerberger}, Discrete Appl. Math. 338, 125--134 (2023; Zbl 07721334) Full Text: DOI arXiv
Milman, Emanuel; Yehudayoff, Amir Sharp isoperimetric inequalities for affine quermassintegrals. (English) Zbl 07720394 J. Am. Math. Soc. 36, No. 4, 1061-1101 (2023). MSC: 52A40 PDF BibTeX XML Cite \textit{E. Milman} and \textit{A. Yehudayoff}, J. Am. Math. Soc. 36, No. 4, 1061--1101 (2023; Zbl 07720394) Full Text: DOI arXiv
Chodosh, Otis; Engelstein, Max; Spolaor, Luca The Riemannian quantitative isoperimetric inequality. (English) Zbl 07714601 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1711-1741 (2023). MSC: 53A10 49Q20 49Q05 PDF BibTeX XML Cite \textit{O. Chodosh} et al., J. Eur. Math. Soc. (JEMS) 25, No. 5, 1711--1741 (2023; Zbl 07714601) Full Text: DOI arXiv
Azad, Farhan; Beck, Thomas; Lokaj, Karolina The isoperimetric inequality for convex subsets of the sphere. (English) Zbl 07714196 Involve 16, No. 2, 343-364 (2023). MSC: 35P15 35J25 53A05 PDF BibTeX XML Cite \textit{F. Azad} et al., Involve 16, No. 2, 343--364 (2023; Zbl 07714196) Full Text: DOI
Brendle, Simon Minimal hypersurfaces and geometric inequalities. (English) Zbl 07712248 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 1, 179-201 (2023). MSC: 53A10 53C42 49Q05 PDF BibTeX XML Cite \textit{S. Brendle}, Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 1, 179--201 (2023; Zbl 07712248) Full Text: DOI arXiv
Adimurthi, Karthik; Prasad, Harsh; Tewary, Vivek Hölder regularity for fractional \(p\)-Laplace equations. (English) Zbl 07709616 Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 14, 24 p. (2023). MSC: 35B65 35J92 35R11 PDF BibTeX XML Cite \textit{K. Adimurthi} et al., Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 14, 24 p. (2023; Zbl 07709616) Full Text: DOI arXiv
Li, Fagui; Chen, Niang An isoperimetric inequality of minimal hypersurfaces in spheres. (English) Zbl 07709447 Pac. J. Math. 324, No. 1, 143-156 (2023). MSC: 53A10 53C24 53C42 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Chen}, Pac. J. Math. 324, No. 1, 143--156 (2023; Zbl 07709447) Full Text: DOI arXiv
Fang, Niufa; Zhou, Jiazu Projection body and isoperimetric inequalities for \(s\)-concave functions. (English) Zbl 07708674 Chin. Ann. Math., Ser. B 44, No. 3, 465-480 (2023). MSC: 26B25 52A20 26D10 PDF BibTeX XML Cite \textit{N. Fang} and \textit{J. Zhou}, Chin. Ann. Math., Ser. B 44, No. 3, 465--480 (2023; Zbl 07708674) Full Text: DOI
Mondino, Andrea; Scharrer, Christian A strict inequality for the minimization of the Willmore functional under isoperimetric constraint. (English) Zbl 07707645 Adv. Calc. Var. 16, No. 3, 529-540 (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 53A05 PDF BibTeX XML Cite \textit{A. Mondino} and \textit{C. Scharrer}, Adv. Calc. Var. 16, No. 3, 529--540 (2023; Zbl 07707645) Full Text: DOI arXiv
Fang, Niufa; Li, Xiao; Ma, Di \(L_p\) centroid bodies with respect to weights \(|x|^{\ell}\). (English) Zbl 07693165 J. Math. Anal. Appl. 526, No. 1, Article ID 127321, 17 p. (2023). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDF BibTeX XML Cite \textit{N. Fang} et al., J. Math. Anal. Appl. 526, No. 1, Article ID 127321, 17 p. (2023; Zbl 07693165) Full Text: DOI
Mei, Xinqun; Weng, Liangjun A constrained mean curvature type flow for capillary boundary hypersurfaces in space forms. (English) Zbl 07685079 J. Geom. Anal. 33, No. 6, Paper No. 195, 28 p. (2023). MSC: 53E10 35K93 PDF BibTeX XML Cite \textit{X. Mei} and \textit{L. Weng}, J. Geom. Anal. 33, No. 6, Paper No. 195, 28 p. (2023; Zbl 07685079) Full Text: DOI arXiv
Frank, Rupert L. Sharp inequalities for coherent states and their optimizers. (English) Zbl 1515.81154 Adv. Nonlinear Stud. 23, Article ID 20220050, 28 p. (2023). MSC: 81R30 PDF BibTeX XML Cite \textit{R. L. Frank}, Adv. Nonlinear Stud. 23, Article ID 20220050, 28 p. (2023; Zbl 1515.81154) Full Text: DOI arXiv
Fusco, Nicola; La Manna, Domenico Angelo Some weighted isoperimetric inequalities in quantitative form. (English) Zbl 07679865 J. Funct. Anal. 285, No. 2, Article ID 109946, 24 p. (2023). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 49Q20 60E15 35Jxx 52A40 PDF BibTeX XML Cite \textit{N. Fusco} and \textit{D. A. La Manna}, J. Funct. Anal. 285, No. 2, Article ID 109946, 24 p. (2023; Zbl 07679865) Full Text: DOI arXiv
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
Qiang, Tao; Weng, Liangjun; Xia, Chao A locally constrained mean curvature type flow with free boundary in a hyperbolic ball. (English) Zbl 1514.53123 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 1514.53123) Full Text: DOI
Zhang, Zengle The \((\varphi, \psi)\) Orlicz mixed Petty bodies. (English) Zbl 07674727 J. Math. Anal. Appl. 524, No. 2, Article ID 127110, 27 p. (2023). Reviewer: Maria Aparecida Soares Ruas (São Carlos) MSC: 52A38 53A05 PDF BibTeX XML Cite \textit{Z. Zhang}, J. Math. Anal. Appl. 524, No. 2, Article ID 127110, 27 p. (2023; Zbl 07674727) Full Text: DOI
Xia, Changyu; Wang, Qiaoling On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann Laplacian. (English) Zbl 1512.35416 Math. Ann. 385, No. 1-2, 863-879 (2023). Reviewer: Luigi Provenzano (Padova) MSC: 35P15 35J05 PDF BibTeX XML Cite \textit{C. Xia} and \textit{Q. Wang}, Math. Ann. 385, No. 1--2, 863--879 (2023; Zbl 1512.35416) Full Text: DOI arXiv
Yang, Yunlong; Zhao, Yuming; Zhang, Yanlong On an area-preserving locally constrained inverse curvature flow of convex curves. (English) Zbl 1516.53085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113245, 8 p. (2023). Reviewer: Niufa Fang (Chongqing) MSC: 53E99 52A10 PDF BibTeX XML Cite \textit{Y. Yang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113245, 8 p. (2023; Zbl 1516.53085) Full Text: DOI
Berger, Arno A beautiful inequality by Saint-Venant and Pólya revisited. (English) Zbl 1510.35013 Am. Math. Mon. 130, No. 3, 239-250 (2023). MSC: 35A23 26D10 97M50 35J25 74B05 76D03 PDF BibTeX XML Cite \textit{A. Berger}, Am. Math. Mon. 130, No. 3, 239--250 (2023; Zbl 1510.35013) Full Text: DOI
Li, Haizhong; Xu, Botong A class of weighted isoperimetric inequalities in hyperbolic space. (English) Zbl 1509.52007 Proc. Am. Math. Soc. 151, No. 5, 2155-2168 (2023). MSC: 52A40 53C24 PDF BibTeX XML Cite \textit{H. Li} and \textit{B. Xu}, Proc. Am. Math. Soc. 151, No. 5, 2155--2168 (2023; Zbl 1509.52007) Full Text: DOI arXiv
Gui, Changfeng; Hu, Yeyao; Li, Qinfeng On smooth interior approximation of sets of finite perimeter. (English) Zbl 07660705 Proc. Am. Math. Soc. 151, No. 5, 1949-1962 (2023). MSC: 28A75 46E35 49Q15 49Q20 PDF BibTeX XML Cite \textit{C. Gui} et al., Proc. Am. Math. Soc. 151, No. 5, 1949--1962 (2023; Zbl 07660705) Full Text: DOI arXiv
Tan, Chee Han; Hohenegger, Christel; Osting, Braxton An isoperimetric sloshing problem in a shallow container with surface tension. (English) Zbl 1509.49024 Appl. Math. Optim. 87, No. 2, Paper No. 33, 32 p. (2023). MSC: 49R05 76M30 76B45 PDF BibTeX XML Cite \textit{C. H. Tan} et al., Appl. Math. Optim. 87, No. 2, Paper No. 33, 32 p. (2023; Zbl 1509.49024) Full Text: DOI arXiv
Chen, Daguang; Li, Haizhong Talenti’s comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature. (English) Zbl 07658955 J. Geom. Anal. 33, No. 4, Paper No. 123, 20 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C21 53C42 58J50 58J90 PDF BibTeX XML Cite \textit{D. Chen} and \textit{H. Li}, J. Geom. Anal. 33, No. 4, Paper No. 123, 20 p. (2023; Zbl 07658955) Full Text: DOI arXiv
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
Fusco, N.; Morini, M. Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains. (English) Zbl 1512.49043 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 1512.49043) Full Text: DOI arXiv
Rüland, Angkana; Tribuzio, Antonio On scaling laws for multi-well nucleation problems without gauge invariances. (English) Zbl 1513.74136 J. Nonlinear Sci. 33, No. 2, Paper No. 25, 41 p. (2023). MSC: 74N05 74N15 49N99 74D10 PDF BibTeX XML Cite \textit{A. Rüland} and \textit{A. Tribuzio}, J. Nonlinear Sci. 33, No. 2, Paper No. 25, 41 p. (2023; Zbl 1513.74136) Full Text: DOI arXiv
Lotoreichik, Vladimir An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain. (English) Zbl 1504.35203 J. Differ. Equations 345, 285-313 (2023). MSC: 35P15 35J40 49K20 74K20 PDF BibTeX XML Cite \textit{V. Lotoreichik}, J. Differ. Equations 345, 285--313 (2023; Zbl 1504.35203) Full Text: DOI arXiv
Psaradakis, Georgios Limiting case of an isoperimetric inequality with radial densities and applications. (English) Zbl 1515.53062 Commun. Anal. Geom. 30, No. 6, 1391-1411 (2022). MSC: 53C42 51M16 53C21 PDF BibTeX XML Cite \textit{G. Psaradakis}, Commun. Anal. Geom. 30, No. 6, 1391--1411 (2022; Zbl 1515.53062) Full Text: DOI
Salakhudinov, R. G.; Gafiyatullina, L. I. Two-sided estimate for the torsional rigidity of convex domain generalizing the Polya-Szegö and Makai inequalities. (English) Zbl 1509.35116 Lobachevskii J. Math. 43, No. 10, 3020-3032 (2022). MSC: 35J05 26D15 PDF BibTeX XML Cite \textit{R. G. Salakhudinov} and \textit{L. I. Gafiyatullina}, Lobachevskii J. Math. 43, No. 10, 3020--3032 (2022; Zbl 1509.35116) Full Text: DOI
Avkhadiev, F. G. Estimates of torsional rigidity using conformal characteristics. (English) Zbl 1509.30006 Lobachevskii J. Math. 43, No. 10, 2931-2937 (2022). MSC: 30C35 PDF BibTeX XML Cite \textit{F. G. Avkhadiev}, Lobachevskii J. Math. 43, No. 10, 2931--2937 (2022; Zbl 1509.30006) Full Text: DOI
Gavitone, Nunzia; Paoli, Gloria; Piscitelli, Gianpaolo; Sannipoli, Rossano An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole. (English) Zbl 1516.35281 Pac. J. Math. 320, No. 2, 241-259 (2022). MSC: 35P15 28A75 35J25 PDF BibTeX XML Cite \textit{N. Gavitone} et al., Pac. J. Math. 320, No. 2, 241--259 (2022; Zbl 1516.35281) Full Text: DOI arXiv
Wen, Jia Jin; Han, Tian Yong; Yuan, Jun Cater type inequalities involving Cater products and their applications in space science. (English) Zbl 07654366 J. Math. Inequal. 16, No. 4, 1379-1398 (2022). MSC: 26D15 26E60 51K05 52A40 PDF BibTeX XML Cite \textit{J. J. Wen} et al., J. Math. Inequal. 16, No. 4, 1379--1398 (2022; Zbl 07654366) Full Text: DOI
Nabutovsky, Alexander Linear bounds for constants in Gromov’s systolic inequality and related results. (English) Zbl 1510.53041 Geom. Topol. 26, No. 7, 3123-3142 (2022). Reviewer: Yuguang Zhang (Beijing) MSC: 53C20 53C23 51F30 PDF BibTeX XML Cite \textit{A. Nabutovsky}, Geom. Topol. 26, No. 7, 3123--3142 (2022; Zbl 1510.53041) Full Text: DOI arXiv
Caglar, Umut; Kolesnikov, Alexander V.; Werner, Elisabeth M. Pinsker inequalities and related Monge-Ampère equations for log-concave functions. (English) Zbl 07642248 Indiana Univ. Math. J. 71, No. 6, 2309-2333 (2022). MSC: 26B25 94A17 52A15 52A41 PDF BibTeX XML Cite \textit{U. Caglar} et al., Indiana Univ. Math. J. 71, No. 6, 2309--2333 (2022; Zbl 07642248) Full Text: DOI arXiv
Eldan, Ronen; Gross, Renan Concentration on the Boolean hypercube via pathwise stochastic analysis. (English) Zbl 07615183 Invent. Math. 230, No. 3, 935-994 (2022). MSC: 68R05 60G44 60G55 PDF BibTeX XML Cite \textit{R. Eldan} and \textit{R. Gross}, Invent. Math. 230, No. 3, 935--994 (2022; Zbl 07615183) Full Text: DOI
Weng, Liangjun; Xia, Chao Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball. (English) Zbl 1512.53039 Trans. Am. Math. Soc. 375, No. 12, 8851-8883 (2022). Reviewer: Yong Wei (Hefei) MSC: 53C21 52A40 58C35 PDF BibTeX XML Cite \textit{L. Weng} and \textit{C. Xia}, Trans. Am. Math. Soc. 375, No. 12, 8851--8883 (2022; Zbl 1512.53039) Full Text: DOI arXiv
Xia, Luoyan Minkowski symmetrization and projection bodies. (English) Zbl 1508.52003 Result. Math. 77, No. 6, Paper No. 240, 14 p. (2022). Reviewer: Lienhard Wimmer (Isny) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{L. Xia}, Result. Math. 77, No. 6, Paper No. 240, 14 p. (2022; Zbl 1508.52003) Full Text: DOI
Riera, Armand Isoperimetric inequalities in the Brownian plane. (English) Zbl 1498.60052 Ann. Probab. 50, No. 5, 2013-2055 (2022). MSC: 60D05 60J65 PDF BibTeX XML Cite \textit{A. Riera}, Ann. Probab. 50, No. 5, 2013--2055 (2022; Zbl 1498.60052) Full Text: DOI arXiv
Croce, Gisella; Fattah, Zakaria; Pisante, Giovanni A reverse isoperimetric inequality for planar \((\alpha, \beta)\)-convex bodies. (English) Zbl 1498.52004 ESAIM, Control Optim. Calc. Var. 28, Paper No. 62, 18 p. (2022). MSC: 52A10 52A40 49Q10 49K15 PDF BibTeX XML Cite \textit{G. Croce} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 62, 18 p. (2022; Zbl 1498.52004) Full Text: DOI arXiv
De Pauw, Thierry; Hardt, Robert M. Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets. (English) Zbl 1498.49081 J. Singul. 24, 145-168 (2022). MSC: 49Q15 49Q20 32B20 14P10 49J45 PDF BibTeX XML Cite \textit{T. De Pauw} and \textit{R. M. Hardt}, J. Singul. 24, 145--168 (2022; Zbl 1498.49081) Full Text: DOI arXiv
Gu, Jiao Isoperimetric type inequalities on submanifolds in rotation-symmetric spaces. (English) Zbl 1503.53011 Ann. Pol. Math. 129, No. 1, 43-53 (2022). MSC: 53A07 53A10 53C42 PDF BibTeX XML Cite \textit{J. Gu}, Ann. Pol. Math. 129, No. 1, 43--53 (2022; Zbl 1503.53011) Full Text: DOI
Khalile, Magda; Lotoreichik, Vladimir Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones. (English) Zbl 1498.35370 J. Spectr. Theory 12, No. 2, 683-706 (2022). MSC: 35P15 35J25 35R01 58J05 58J50 PDF BibTeX XML Cite \textit{M. Khalile} and \textit{V. Lotoreichik}, J. Spectr. Theory 12, No. 2, 683--706 (2022; Zbl 1498.35370) Full Text: DOI arXiv
Chasman, Laura Mercredi; Langford, Jeffrey J. A sharp isoperimetric inequality for the second eigenvalue of the Robin plate. (English) Zbl 1498.35369 J. Spectr. Theory 12, No. 2, 617-657 (2022). MSC: 35P15 35J40 74K20 33C10 PDF BibTeX XML Cite \textit{L. M. Chasman} and \textit{J. J. Langford}, J. Spectr. Theory 12, No. 2, 617--657 (2022; Zbl 1498.35369) Full Text: DOI arXiv
Lou, Shuwen Discrete approximation to Brownian motion with varying dimension in unbounded domains. (English) Zbl 1498.60317 Electron. J. Probab. 27, Paper No. 99, 33 p. (2022). MSC: 60J27 60J35 60J65 31C25 60G55 PDF BibTeX XML Cite \textit{S. Lou}, Electron. J. Probab. 27, Paper No. 99, 33 p. (2022; Zbl 1498.60317) Full Text: DOI arXiv Link
Zhao, Chang Jian The Orlicz isoperimetric inequality. (Chinese. English summary) Zbl 07594615 Acta Math. Sin., Chin. Ser. 65, No. 3, 513-522 (2022). MSC: 52A40 52A39 46E30 PDF BibTeX XML Cite \textit{C. J. Zhao}, Acta Math. Sin., Chin. Ser. 65, No. 3, 513--522 (2022; Zbl 07594615) Full Text: Link
Kwong, Kwok-Kun Some sharp isoperimetric-type inequalities on Riemannian manifolds. (English) Zbl 1503.53074 J. Geom. Phys. 181, Article ID 104647, 16 p. (2022). MSC: 53C20 PDF BibTeX XML Cite \textit{K.-K. Kwong}, J. Geom. Phys. 181, Article ID 104647, 16 p. (2022; Zbl 1503.53074) Full Text: DOI arXiv
Glaudo, F. Minkowski inequality for nearly spherical domains. (English) Zbl 1497.51012 Adv. Math. 408 B, Article ID 108595, 33 p. (2022). MSC: 51M16 52A40 52A38 53C42 53E10 PDF BibTeX XML Cite \textit{F. Glaudo}, Adv. Math. 408 B, Article ID 108595, 33 p. (2022; Zbl 1497.51012) Full Text: DOI arXiv
Charalambous, Nelia; Lu, Zhiqin A note on Cheeger’s isoperimetric constant. (English) Zbl 1501.53047 J. Geom. Anal. 32, No. 11, Paper No. 283, 14 p. (2022). MSC: 53C21 58J60 PDF BibTeX XML Cite \textit{N. Charalambous} and \textit{Z. Lu}, J. Geom. Anal. 32, No. 11, Paper No. 283, 14 p. (2022; Zbl 1501.53047) Full Text: DOI arXiv
Kwong, Kwok-Kun; Wei, Yong; Wheeler, Glen; Wheeler, Valentina-Mira On an inverse curvature flow in two-dimensional space forms. (English) Zbl 1505.53100 Math. Ann. 384, No. 1-2, 285-308 (2022). MSC: 53E10 51M16 PDF BibTeX XML Cite \textit{K.-K. Kwong} et al., Math. Ann. 384, No. 1--2, 285--308 (2022; Zbl 1505.53100) Full Text: DOI arXiv
Chen, Daguang; Cheng, Qing-Ming; Li, Haizhong Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds. (English) Zbl 1502.53060 J. Differ. Equations 336, 374-386 (2022). MSC: 53C21 53E20 53C42 PDF BibTeX XML Cite \textit{D. Chen} et al., J. Differ. Equations 336, 374--386 (2022; Zbl 1502.53060) Full Text: DOI
Kim, Hanna N. Maximization of the second Laplacian eigenvalue on the sphere. (English) Zbl 1496.35266 Proc. Am. Math. Soc. 150, No. 8, 3501-3512 (2022). MSC: 35P15 35J05 35R01 58J05 58C40 58J50 PDF BibTeX XML Cite \textit{H. N. Kim}, Proc. Am. Math. Soc. 150, No. 8, 3501--3512 (2022; Zbl 1496.35266) Full Text: DOI arXiv
Lin, Youjiang; Wu, Yuchi The equality cases in Steiner’s projection inequality. (English) Zbl 1501.52006 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 193, 21 p. (2022). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Wu}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 193, 21 p. (2022; Zbl 1501.52006) Full Text: DOI
Kolesnikov, Alexander V.; Milman, Emanuel Local \(L^p\)-Brunn-Minkowski inequalities for \(p < 1\). (English) Zbl 1502.52002 Memoirs of the American Mathematical Society 1360. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5160-8/pbk; 978-1-4704-7092-0/ebook). v, 78 p. (2022). Reviewer: Gabriela Cristescu (Arad) MSC: 52-02 52A40 52A38 52A23 35P15 PDF BibTeX XML Cite \textit{A. V. Kolesnikov} and \textit{E. Milman}, Local \(L^p\)-Brunn-Minkowski inequalities for \(p < 1\). Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1502.52002) Full Text: DOI arXiv
Naor, Assaf; Young, Robert Foliated corona decompositions. (English) Zbl 1503.46017 Acta Math. 229, No. 1, 55-200 (2022). MSC: 46B85 30L05 20F65 68R12 PDF BibTeX XML Cite \textit{A. Naor} and \textit{R. Young}, Acta Math. 229, No. 1, 55--200 (2022; Zbl 1503.46017) Full Text: DOI arXiv
Yang, Yunlong; Liu, Lina Two Chernoff-type inequalities and their stability properties. (English) Zbl 07566820 Math. Inequal. Appl. 25, No. 3, 827-837 (2022). MSC: 52A40 52A10 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{L. Liu}, Math. Inequal. Appl. 25, No. 3, 827--837 (2022; Zbl 07566820) Full Text: DOI
Du, Shi-Zhong Necessary and sufficient conditions to Bernstein theorem of a Hessian equation. (English) Zbl 1497.35197 Trans. Am. Math. Soc. 375, No. 7, 4873-4892 (2022). Reviewer: Jian Lu (Guangzhou) MSC: 35J60 53C23 53C42 PDF BibTeX XML Cite \textit{S.-Z. Du}, Trans. Am. Math. Soc. 375, No. 7, 4873--4892 (2022; Zbl 1497.35197) Full Text: DOI arXiv
Dou, Jingbo; Zhu, Meijun \(L^1\) isoperimetric inequality on the unit disk. (English) Zbl 1493.30055 Adv. Math. 404, Part A, Article ID 108383, 25 p. (2022). MSC: 30C75 PDF BibTeX XML Cite \textit{J. Dou} and \textit{M. Zhu}, Adv. Math. 404, Part A, Article ID 108383, 25 p. (2022; Zbl 1493.30055) Full Text: DOI
Blufstein, Martín Axel; Minian, Elías Gabriel; Costa, Iván Sadofschi Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility. (English) Zbl 1514.20119 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 545-566 (2022). MSC: 20F06 20F65 20F67 20F10 PDF BibTeX XML Cite \textit{M. A. Blufstein} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 545--566 (2022; Zbl 1514.20119) Full Text: DOI arXiv
Viator, Robert; Osting, Braxton Steklov eigenvalues of nearly spherical domains. (English) Zbl 1496.35262 SIAM J. Control Optim. 60, No. 3, 1546-1562 (2022). Reviewer: Denis Borisov (Ufa) MSC: 35P05 35C20 35J25 41A58 PDF BibTeX XML Cite \textit{R. Viator} and \textit{B. Osting}, SIAM J. Control Optim. 60, No. 3, 1546--1562 (2022; Zbl 1496.35262) Full Text: DOI arXiv
Alencar, Hilário; Santos, Walcy; Silva Neto, Gregório Differential geometry of plane curves. (English) Zbl 1511.53001 Student Mathematical Library 96. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6959-7/pbk; 978-1-4704-7036-4/ebook). xv, 416 p. (2022). Reviewer: Ergin Bayram (Samsun) MSC: 53-01 53A04 53E10 PDF BibTeX XML Cite \textit{H. Alencar} et al., Differential geometry of plane curves. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1511.53001)
Fässler, Katrin; Pinamonti, Andrea Loomis-Whitney inequalities in Heisenberg groups. (English) Zbl 1503.28005 Math. Z. 301, No. 2, 1983-2010 (2022). MSC: 28A75 35R03 46E35 52C99 PDF BibTeX XML Cite \textit{K. Fässler} and \textit{A. Pinamonti}, Math. Z. 301, No. 2, 1983--2010 (2022; Zbl 1503.28005) Full Text: DOI arXiv
Creutz, Paul Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces. (English) Zbl 1496.46011 Rev. Mat. Iberoam. 38, No. 3, 705-729 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 46B20 53C24 28A75 49Q05 30L05 PDF BibTeX XML Cite \textit{P. Creutz}, Rev. Mat. Iberoam. 38, No. 3, 705--729 (2022; Zbl 1496.46011) Full Text: DOI arXiv
Li, Yuqiao The isoperimetric inequality in steady Ricci solitons. (English) Zbl 1492.53104 Chin. Ann. Math., Ser. B 43, No. 1, 115-124 (2022). MSC: 53E20 53C25 PDF BibTeX XML Cite \textit{Y. Li}, Chin. Ann. Math., Ser. B 43, No. 1, 115--124 (2022; Zbl 1492.53104) Full Text: DOI arXiv
Zhang, Juan; Wang, Weidong; Zhao, Peibiao Isoperimetric and Brunn-Minkowski inequalities for the \((p, q)\)-mixed geominimal surface areas. (English) Zbl 1487.52018 Open Math. 20, 117-124 (2022). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A40 52A20 52A39 PDF BibTeX XML Cite \textit{J. Zhang} et al., Open Math. 20, 117--124 (2022; Zbl 1487.52018) Full Text: DOI
Kachmar, Ayman; Lotoreichik, Vladimir On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. (English) Zbl 1487.35260 J. Geom. Anal. 32, No. 6, Paper No. 182, 20 p. (2022); correction ibid. 32, No. 9, Paper No. 237, 2 p. (2022). MSC: 35P15 35J25 81Q10 PDF BibTeX XML Cite \textit{A. Kachmar} and \textit{V. Lotoreichik}, J. Geom. Anal. 32, No. 6, Paper No. 182, 20 p. (2022; Zbl 1487.35260) Full Text: DOI arXiv
Albers, Peter; Tabachnikov, Serge Symplectically convex and symplectically star-shaped curves: a variational problem. (English) Zbl 1486.49068 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 27, 24 p. (2022). MSC: 49Q99 53D99 53A15 52A30 52C25 53A04 52A40 PDF BibTeX XML Cite \textit{P. Albers} and \textit{S. Tabachnikov}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 27, 24 p. (2022; Zbl 1486.49068) Full Text: DOI arXiv
Tasso, Emanuele On the blow-up of GSBV functions under suitable geometric properties of the jump set. (English) Zbl 1497.28003 Adv. Calc. Var. 15, No. 1, 59-108 (2022). MSC: 28A75 26B30 31C15 PDF BibTeX XML Cite \textit{E. Tasso}, Adv. Calc. Var. 15, No. 1, 59--108 (2022; Zbl 1497.28003) Full Text: DOI
Lin, Youjiang Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension. (English) Zbl 1495.46024 Sci. China, Math. 65, No. 3, 517-538 (2022). MSC: 46E35 46E30 52A40 PDF BibTeX XML Cite \textit{Y. Lin}, Sci. China, Math. 65, No. 3, 517--538 (2022; Zbl 1495.46024) Full Text: DOI
Abreu, Emerson; Fernandes, Leandro G. jun. On the existence and nonexistence of isoperimetric inequalities with different monomial weights. (English) Zbl 1496.46027 J. Fourier Anal. Appl. 28, No. 1, Paper No. 12, 33 p. (2022). MSC: 46E35 PDF BibTeX XML Cite \textit{E. Abreu} and \textit{L. G. Fernandes jun.}, J. Fourier Anal. Appl. 28, No. 1, Paper No. 12, 33 p. (2022; Zbl 1496.46027) Full Text: DOI arXiv
Nakajima, Hiroki Isoperimetric inequality on a metric measure space and Lipschitz order with an additive error. (English) Zbl 1493.53065 J. Geom. Anal. 32, No. 1, Paper No. 35, 43 p. (2022). Reviewer: Yuguang Zhang (Beijing) MSC: 53C23 53C20 PDF BibTeX XML Cite \textit{H. Nakajima}, J. Geom. Anal. 32, No. 1, Paper No. 35, 43 p. (2022; Zbl 1493.53065) Full Text: DOI arXiv
Chen, Hang Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition. (English) Zbl 1483.35051 Potential Anal. 56, No. 2, 333-349 (2022). MSC: 35B45 35J25 35P15 35R01 53C21 58J60 60J65 PDF BibTeX XML Cite \textit{H. Chen}, Potential Anal. 56, No. 2, 333--349 (2022; Zbl 1483.35051) Full Text: DOI
Ascione, Giacomo A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem. (English) Zbl 1481.49041 ESAIM, Control Optim. Calc. Var. 28, Paper No. 4, 10 p. (2022). MSC: 49Q10 49J40 PDF BibTeX XML Cite \textit{G. Ascione}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 4, 10 p. (2022; Zbl 1481.49041) Full Text: DOI arXiv
Lin, Youjiang; Xi, Dongmeng Orlicz affine isoperimetric inequalities for star bodies. (English) Zbl 1486.52021 Adv. Appl. Math. 134, Article ID 102308, 32 p. (2022). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{D. Xi}, Adv. Appl. Math. 134, Article ID 102308, 32 p. (2022; Zbl 1486.52021) Full Text: DOI
Richter, Christian; Saorín Gómez, Eugenia On the monotonicity of the isoperimetric quotient for parallel bodies. (English) Zbl 1479.52016 J. Geom. Anal. 32, No. 1, Paper No. 15, 19 p. (2022). MSC: 52A40 52A20 52A21 52A38 52A39 52B60 PDF BibTeX XML Cite \textit{C. Richter} and \textit{E. Saorín Gómez}, J. Geom. Anal. 32, No. 1, Paper No. 15, 19 p. (2022; Zbl 1479.52016) Full Text: DOI arXiv
Iglesias, David; Lucas, Eduardo; Yepes Nicolás, Jesús On discrete Brunn-Minkowski and isoperimetric type inequalities. (English) Zbl 1478.52004 Discrete Math. 345, No. 1, Article ID 112640, 12 p. (2022). MSC: 52A40 52C07 PDF BibTeX XML Cite \textit{D. Iglesias} et al., Discrete Math. 345, No. 1, Article ID 112640, 12 p. (2022; Zbl 1478.52004) Full Text: DOI
Hoehner, Steven Extremal general affine surface areas. (English) Zbl 1475.52004 J. Math. Anal. Appl. 505, No. 2, Article ID 125506, 21 p. (2022). MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{S. Hoehner}, J. Math. Anal. Appl. 505, No. 2, Article ID 125506, 21 p. (2022; Zbl 1475.52004) Full Text: DOI arXiv
Hack, Thomas; Pivovarov, Peter Randomized Urysohn-type inequalities. (English) Zbl 07738363 Mathematika 67, No. 1, 100-115 (2021). MSC: 52A22 52A40 52A55 60D05 PDF BibTeX XML Cite \textit{T. Hack} and \textit{P. Pivovarov}, Mathematika 67, No. 1, 100--115 (2021; Zbl 07738363) Full Text: DOI arXiv
Khimshiashvili, G. Remarks on Blaschke-Santaló diagrams. (English) Zbl 1513.51050 Proc. I. Vekua Inst. Appl. Math. 71, 30-37 (2021). MSC: 51M15 51M16 PDF BibTeX XML Cite \textit{G. Khimshiashvili}, Proc. I. Vekua Inst. Appl. Math. 71, 30--37 (2021; Zbl 1513.51050) Full Text: Link
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, Zengle Bonnesen-style inequalities for star bodies. (Chinese. English summary) Zbl 1513.52009 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 5, 1249-1262 (2021). MSC: 52A20 52A22 52A40 PDF BibTeX XML Cite \textit{Z. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 5, 1249--1262 (2021; Zbl 1513.52009) Full Text: Link
Hu, Jiaqi; Xiong, Ge A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. (English) Zbl 1495.52014 Int. Math. Res. Not. 2021, No. 12, 8977-8995 (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52B60 PDF BibTeX XML Cite \textit{J. Hu} and \textit{G. Xiong}, Int. Math. Res. Not. 2021, No. 12, 8977--8995 (2021; Zbl 1495.52014) Full Text: DOI
Chen, Bing-Long; Yang, Xiaokui On Euler characteristic and fundamental groups of compact manifolds. (English) Zbl 1500.57023 Math. Ann. 381, No. 3-4, 1723-1743 (2021). Reviewer: Jan-Bernhard Kordaß (Marburg) MSC: 57R19 53C29 57M05 PDF BibTeX XML Cite \textit{B.-L. Chen} and \textit{X. Yang}, Math. Ann. 381, No. 3--4, 1723--1743 (2021; Zbl 1500.57023) Full Text: DOI arXiv
Jog, Varun Reverse Euclidean and Gaussian isoperimetric inequalities for parallel sets with applications. (English) Zbl 1487.60038 IEEE Trans. Inf. Theory 67, No. 10, 6368-6383 (2021). MSC: 60E15 52B60 62F03 PDF BibTeX XML Cite \textit{V. Jog}, IEEE Trans. Inf. Theory 67, No. 10, 6368--6383 (2021; Zbl 1487.60038) Full Text: DOI arXiv
Tsuji, Hiroshi Dilation type inequalities for strongly-convex sets in weighted Riemannian manifolds. (English) Zbl 1495.53056 Anal. Geom. Metr. Spaces 9, 219-253 (2021). Reviewer: Chandan Kumar Mondal (Durgapur) MSC: 53C20 28A75 26D10 60E15 PDF BibTeX XML Cite \textit{H. Tsuji}, Anal. Geom. Metr. Spaces 9, 219--253 (2021; Zbl 1495.53056) Full Text: DOI arXiv
Mai, Cong Hung; Ohta, Shin-Ichi Quantitative estimates for the Bakry-Ledoux isoperimetric inequality. (English) Zbl 1486.53049 Comment. Math. Helv. 96, No. 4, 693-739 (2021). Reviewer: Jialong Deng (Beijing) MSC: 53C21 53C23 53C20 PDF BibTeX XML Cite \textit{C. H. Mai} and \textit{S.-I. Ohta}, Comment. Math. Helv. 96, No. 4, 693--739 (2021; Zbl 1486.53049) Full Text: DOI arXiv
Benson, Brian; Ralli, Peter; Tetali, Prasad Volume growth, curvature, and Buser-type inequalities in graphs. (English) Zbl 1487.53022 Int. Math. Res. Not. 2021, No. 22, 17091-17139 (2021). Reviewer: Jialong Deng (Beijing) MSC: 53A70 05C35 PDF BibTeX XML Cite \textit{B. Benson} et al., Int. Math. Res. Not. 2021, No. 22, 17091--17139 (2021; Zbl 1487.53022) Full Text: DOI arXiv
Chirikjian, Gregory S.; Shiffman, Bernard Applications of convex geometry to Minkowski sums of \(m\) ellipsoids in \(\mathbb{R}^N\): Closed-form parametric equations and volume bounds. (English) Zbl 1481.52003 Int. J. Math. 32, No. 12, Article ID 2140009, 26 p. (2021). MSC: 52A20 51B20 52A40 PDF BibTeX XML Cite \textit{G. S. Chirikjian} and \textit{B. Shiffman}, Int. J. Math. 32, No. 12, Article ID 2140009, 26 p. (2021; Zbl 1481.52003) Full Text: DOI
Wang, Qiaoling; Xia, Changyu On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian. (English) Zbl 1487.35261 Anal. PDE 14, No. 7, 2069-2078 (2021). Reviewer: Emanuel Indrei (West Lafayette) MSC: 35P15 35J25 58C40 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{C. Xia}, Anal. PDE 14, No. 7, 2069--2078 (2021; Zbl 1487.35261) 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)
Charon, Nicolas; Pierron, Thomas On length measures of planar closed curves and the comparison of convex shapes. (English) Zbl 1484.53012 Ann. Global Anal. Geom. 60, No. 4, 863-901 (2021). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53A04 28A75 49Q20 49Q22 PDF BibTeX XML Cite \textit{N. Charon} and \textit{T. Pierron}, Ann. Global Anal. Geom. 60, No. 4, 863--901 (2021; Zbl 1484.53012) Full Text: DOI arXiv
Abdelhakim, Ahmed A. A characterization of a nonlinear integral triangle inequality. (English) Zbl 1494.46019 J. Nonlinear Convex Anal. 22, No. 6, 1165-1172 (2021). MSC: 46E30 26D15 PDF BibTeX XML Cite \textit{A. A. Abdelhakim}, J. Nonlinear Convex Anal. 22, No. 6, 1165--1172 (2021; Zbl 1494.46019) Full Text: Link
Brendle, Simon The isoperimetric inequality for a minimal submanifold in Euclidean space. (English) Zbl 1482.53012 J. Am. Math. Soc. 34, No. 2, 595-603 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 53A07 53A10 PDF BibTeX XML Cite \textit{S. Brendle}, J. Am. Math. Soc. 34, No. 2, 595--603 (2021; Zbl 1482.53012) Full Text: DOI arXiv
Zeng, Chunna; Peng, Lu; Ma, Lei; Wang, Xinxin The Bonnesen-style isoperimetric inequalities of the tetrahedral in \({\mathbb{R}^3}\). (Chinese. English summary) Zbl 1488.52014 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 2, 296-302 (2021). MSC: 52A40 52A22 52A15 52A38 PDF BibTeX XML Cite \textit{C. Zeng} et al., Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 2, 296--302 (2021; Zbl 1488.52014)
Indrei, Emanuel A weighted relative isoperimetric inequality in convex cones. (English) Zbl 1480.35274 Methods Appl. Anal. 28, No. 1, 1-14 (2021). Reviewer: Georgios Psaradakis (Caserta) MSC: 35J96 49Q20 PDF BibTeX XML Cite \textit{E. Indrei}, Methods Appl. Anal. 28, No. 1, 1--14 (2021; Zbl 1480.35274) Full Text: DOI arXiv
Liu, Yude; Sun, Qiang; Xiong, Ge Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. (English) Zbl 1479.52015 Adv. Math. 389, Article ID 107902, 29 p. (2021). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 52B60 52A38 PDF BibTeX XML Cite \textit{Y. Liu} et al., Adv. Math. 389, Article ID 107902, 29 p. (2021; Zbl 1479.52015) Full Text: DOI