Xie, Xiangyun; Liu, Yu; Li, Pengtao; Huang, Jizheng The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces. (English) Zbl 07811546 Adv. Nonlinear Anal. 13, Article ID 20230119, 19 p. (2024). MSC: 28A12 31E05 26B30 PDFBibTeX XMLCite \textit{X. Xie} et al., Adv. Nonlinear Anal. 13, Article ID 20230119, 19 p. (2024; Zbl 07811546) Full Text: DOI OA License
Franceschi, Valentina; Pinamonti, Andrea; Saracco, Giorgio; Stefani, Giorgio The Cheeger problem in abstract measure spaces. (English) Zbl 07809013 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12840, 55 p. (2024). MSC: 49Q20 35P15 53A10 PDFBibTeX XMLCite \textit{V. Franceschi} et al., J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12840, 55 p. (2024; Zbl 07809013) Full Text: DOI arXiv OA License
Balogh, Zoltán M.; Kristály, Alexandru; Tripaldi, Francesca Sharp log-Sobolev inequalities in \(\mathsf{CD}(0, N)\) spaces with applications. (English) Zbl 07794592 J. Funct. Anal. 286, No. 2, Article ID 110217, 41 p. (2024). MSC: 28A25 26D15 46E35 49Q22 PDFBibTeX XMLCite \textit{Z. M. Balogh} et al., J. Funct. Anal. 286, No. 2, Article ID 110217, 41 p. (2024; Zbl 07794592) Full Text: DOI arXiv
Mazón, José M. The Cheeger cut and Cheeger problem in metric measure spaces. (English) Zbl 07786723 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 10, 32 p. (2024). MSC: 46E36 49Q20 35K92 26B30 PDFBibTeX XMLCite \textit{J. M. Mazón}, NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 10, 32 p. (2024; Zbl 07786723) Full Text: DOI OA License
Bruè, Elia; Mondino, Andrea; Semola, Daniele The metric measure boundary of spaces with Ricci curvature bounded below. (English) Zbl 07694914 Geom. Funct. Anal. 33, No. 3, 593-636 (2023). MSC: 53C23 49J52 49Q99 PDFBibTeX XMLCite \textit{E. Bruè} et al., Geom. Funct. Anal. 33, No. 3, 593--636 (2023; Zbl 07694914) Full Text: DOI arXiv
Huang, Xian-Tao Local isoperimetric inequalities in metric measure spaces verifying measure contraction property. (English) Zbl 1514.53084 Manuscr. Math. 171, No. 1-2, 1-21 (2023). MSC: 53C22 53C23 51M16 28A75 PDFBibTeX XMLCite \textit{X.-T. Huang}, Manuscr. Math. 171, No. 1--2, 1--21 (2023; Zbl 1514.53084) Full Text: DOI arXiv
Deng, Jialong Quasiconformal mappings and curvatures on metric measure spaces. (English) Zbl 07740333 Proc. Int. Geom. Cent. 15, No. 3-4, 203-218 (2022). MSC: 53C23 30C65 PDFBibTeX XMLCite \textit{J. Deng}, Proc. Int. Geom. Cent. 15, No. 3--4, 203--218 (2022; Zbl 07740333) Full Text: DOI arXiv
Bertrand, Jerôme; Fathi, Max Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces. (English) Zbl 1502.53069 J. Geom. Anal. 32, No. 11, Paper No. 270, 38 p. (2022). Reviewer: Shi-Zhong Du (Shantou) MSC: 53C24 58C40 60F05 PDFBibTeX XMLCite \textit{J. Bertrand} and \textit{M. Fathi}, J. Geom. Anal. 32, No. 11, Paper No. 270, 38 p. (2022; Zbl 1502.53069) Full Text: DOI arXiv
Cavalletti, Fabio; Manini, Davide Isoperimetric inequality in noncompact \(\mathsf{MCP}\) spaces. (English) Zbl 1501.53054 Proc. Am. Math. Soc. 150, No. 8, 3537-3548 (2022). Reviewer: Jialong Deng (Beijing) MSC: 53C23 53C20 PDFBibTeX XMLCite \textit{F. Cavalletti} and \textit{D. Manini}, Proc. Am. Math. Soc. 150, No. 8, 3537--3548 (2022; Zbl 1501.53054) Full Text: DOI arXiv
Nobili, Francesco; Violo, Ivan Yuri Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds. (English) Zbl 07565569 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 180, 65 p. (2022). MSC: 53C24 46E36 PDFBibTeX XMLCite \textit{F. Nobili} and \textit{I. Y. Violo}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 180, 65 p. (2022; Zbl 07565569) Full Text: DOI arXiv
Buffa, Vito; Comi, Giovanni E.; Miranda, Michele jun. On BV functions and essentially bounded divergence-measure fields in metric spaces. (English) Zbl 1510.26009 Rev. Mat. Iberoam. 38, No. 3, 883-946 (2022). Reviewer: Julià Cufí (Bellaterra) MSC: 26B30 26A45 26B20 30L99 53C23 PDFBibTeX XMLCite \textit{V. Buffa} et al., Rev. Mat. Iberoam. 38, No. 3, 883--946 (2022; Zbl 1510.26009) Full Text: DOI arXiv
Antonelli, Gioacchino; Bruè, Elia; Fogagnolo, Mattia; Pozzetta, Marco On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. (English) Zbl 1494.53049 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 77, 40 p. (2022). Reviewer: Jialong Deng (Beijing) MSC: 53C23 49J40 53C20 PDFBibTeX XMLCite \textit{G. Antonelli} et al., Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 77, 40 p. (2022; Zbl 1494.53049) 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 PDFBibTeX XMLCite \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
De Ponti, Nicolò; Mondino, Andrea; Semola, Daniele The equality case in Cheeger’s and Buser’s inequalities on \(\mathsf{RCD}\) spaces. (English) Zbl 1462.35013 J. Funct. Anal. 281, No. 3, Article ID 109022, 36 p. (2021). MSC: 35A23 26D15 35P05 PDFBibTeX XMLCite \textit{N. De Ponti} et al., J. Funct. Anal. 281, No. 3, Article ID 109022, 36 p. (2021; Zbl 1462.35013) Full Text: DOI arXiv
Han, Bang-Xian Rigidity of some functional inequalities on RCD spaces. (English. French summary) Zbl 1461.53031 J. Math. Pures Appl. (9) 145, 163-203 (2021). MSC: 53C23 54C40 39B62 PDFBibTeX XMLCite \textit{B.-X. Han}, J. Math. Pures Appl. (9) 145, 163--203 (2021; Zbl 1461.53031) Full Text: DOI arXiv
Korte, Riikka; Lahti, Panu; Li, Xining; Shanmugalingam, Nageswari Notions of Dirichlet problem for functions of least gradient in metric measure spaces. (English) Zbl 1434.31008 Rev. Mat. Iberoam. 35, No. 6, 1603-1648 (2019). MSC: 31E05 30L99 PDFBibTeX XMLCite \textit{R. Korte} et al., Rev. Mat. Iberoam. 35, No. 6, 1603--1648 (2019; Zbl 1434.31008) Full Text: DOI arXiv Link
Lahti, Panu Strong approximation of sets of finite perimeter in metric spaces. (English) Zbl 1387.30088 Manuscr. Math. 155, No. 3-4, 503-522 (2018). MSC: 30L99 26B30 28A12 PDFBibTeX XMLCite \textit{P. Lahti}, Manuscr. Math. 155, No. 3--4, 503--522 (2018; Zbl 1387.30088) Full Text: DOI arXiv