Nobili, Francesco; Violo, Ivan Yuri Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds. (English) Zbl 07811955 Adv. Math. 440, Article ID 109521, 58 p. (2024). MSC: 53C21 46E35 49J52 PDFBibTeX XMLCite \textit{F. Nobili} and \textit{I. Y. Violo}, Adv. Math. 440, Article ID 109521, 58 p. (2024; Zbl 07811955) Full Text: DOI arXiv
Agostiniani, Virginia; Mazzieri, Lorenzo; Oronzio, Francesca A Green’s function proof of the positive mass theorem. (English) Zbl 07809228 Commun. Math. Phys. 405, No. 2, Paper No. 54, 23 p. (2024). MSC: 53Cxx 83Cxx 58Jxx PDFBibTeX XMLCite \textit{V. Agostiniani} et al., Commun. Math. Phys. 405, No. 2, Paper No. 54, 23 p. (2024; Zbl 07809228) Full Text: DOI arXiv OA License
Benatti, Luca; Fogagnolo, Mattia; Mazzieri, Lorenzo The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds. (English) Zbl 07796266 Math. Ann. 388, No. 1, 99-139 (2024). MSC: 53E10 31C12 PDFBibTeX XMLCite \textit{L. Benatti} et al., Math. Ann. 388, No. 1, 99--139 (2024; Zbl 07796266) Full Text: DOI arXiv
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
Wang, Kai-Hsiang Optimal transport approach to Michael-Simon-Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds. (English) Zbl 07783289 Ann. Global Anal. Geom. 65, No. 1, Paper No. 7, 25 p. (2024). MSC: 53C21 49Q22 53C23 PDFBibTeX XMLCite \textit{K.-H. Wang}, Ann. Global Anal. Geom. 65, No. 1, Paper No. 7, 25 p. (2024; Zbl 07783289) Full Text: DOI arXiv
Agostiniani, Virginia; Mantegazza, Carlo; Mazzieri, Lorenzo; Oronzio, Francesca A new proof of the Riemannian Penrose inequality. (English) Zbl 07799907 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 715-726 (2023). Reviewer: Andrea Tamburelli (Houston) MSC: 53C21 31C12 31C15 53Z05 PDFBibTeX XMLCite \textit{V. Agostiniani} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 715--726 (2023; Zbl 07799907) Full Text: DOI
Benatti, Luca; Fogagnolo, Mattia; Mazzieri, Lorenzo Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature. (English) Zbl 07773353 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 091, 29 p. (2023). MSC: 83C99 35B40 35A16 31C15 53C21 PDFBibTeX XMLCite \textit{L. Benatti} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 091, 29 p. (2023; Zbl 07773353) 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 1525.53046 Int. J. Math. 34, No. 8, Article ID 2350045, 19 p. (2023). Reviewer: Eleutherius Symeonidis (Bucureşti) MSC: 53C21 35R01 35J05 PDFBibTeX XMLCite \textit{D. Chen} et al., Int. J. Math. 34, No. 8, Article ID 2350045, 19 p. (2023; Zbl 1525.53046) Full Text: DOI arXiv
Chen, Daguang; Wei, Yilun Comparison results for filtration equations on manifolds via Schwarz rearrangements. (English) Zbl 1510.35084 Result. Math. 78, No. 3, Paper No. 81, 20 p. (2023). MSC: 35B51 35K20 35K59 35P30 53C42 58C40 58J35 PDFBibTeX XMLCite \textit{D. Chen} and \textit{Y. Wei}, Result. Math. 78, No. 3, Paper No. 81, 20 p. (2023; Zbl 1510.35084) Full Text: DOI
Chen, Daguang; Li, Haizhong Talenti’s comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature. (English) Zbl 1519.53028 J. Geom. Anal. 33, No. 4, Paper No. 123, 20 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C21 53C42 58J50 58J90 PDFBibTeX XMLCite \textit{D. Chen} and \textit{H. Li}, J. Geom. Anal. 33, No. 4, Paper No. 123, 20 p. (2023; Zbl 1519.53028) Full Text: DOI arXiv
Kristály, Alexandru Lord Rayleigh’s conjecture for vibrating clamped plates in positively curved spaces. (English) Zbl 1502.53061 Geom. Funct. Anal. 32, No. 4, 881-937 (2022). MSC: 53C21 35P15 35J35 35J40 49Q20 PDFBibTeX XMLCite \textit{A. Kristály}, Geom. Funct. Anal. 32, No. 4, 881--937 (2022; Zbl 1502.53061) 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