Nga, N. Q.; Tri, N. M.; Tuan, D. A. Pólya-Szegö type inequality and imbedding theorems for weighted Sobolev spaces. (English) Zbl 07822755 Anal. Math. Phys. 14, No. 2, Paper No. 20, 12 p. (2024). MSC: 28A20 46E30 46E35 51M16 35J70 PDFBibTeX XMLCite \textit{N. Q. Nga} et al., Anal. Math. Phys. 14, No. 2, Paper No. 20, 12 p. (2024; Zbl 07822755) Full Text: DOI
Arya, Vedansh; Kumar, Dharmendra Carleman estimates for sub-Laplacians on Carnot groups. (English) Zbl 1517.35099 Anal. Math. Phys. 13, No. 4, Paper No. 55, 17 p. (2023). MSC: 35H20 35A23 35B60 35R03 PDFBibTeX XMLCite \textit{V. Arya} and \textit{D. Kumar}, Anal. Math. Phys. 13, No. 4, Paper No. 55, 17 p. (2023; Zbl 1517.35099) Full Text: DOI arXiv
Sun, Xueqi; Song, Yueqiang Least-energy nodal solutions of critical Schrödinger-Poisson system on the Heisenberg group. (English) Zbl 1491.35186 Anal. Math. Phys. 12, No. 3, Paper No. 80, 28 p. (2022). MSC: 35J57 35J62 35R03 35A01 PDFBibTeX XMLCite \textit{X. Sun} and \textit{Y. Song}, Anal. Math. Phys. 12, No. 3, Paper No. 80, 28 p. (2022; Zbl 1491.35186) Full Text: DOI
Garain, Prashanta; Ukhlov, Alexander Singular subelliptic equations and Sobolev inequalities on Carnot groups. (English) Zbl 1486.35144 Anal. Math. Phys. 12, No. 2, Paper No. 67, 18 p. (2022). MSC: 35H20 35R03 22E30 46E35 PDFBibTeX XMLCite \textit{P. Garain} and \textit{A. Ukhlov}, Anal. Math. Phys. 12, No. 2, Paper No. 67, 18 p. (2022; Zbl 1486.35144) Full Text: DOI arXiv
Bou Dagher, Esther; Zegarliński, Bogusław Coercive inequalities in higher-dimensional anisotropic Heisenberg group. (English) Zbl 1489.53043 Anal. Math. Phys. 12, No. 1, Paper No. 3, 33 p. (2022). MSC: 53C17 35H20 46E35 PDFBibTeX XMLCite \textit{E. Bou Dagher} and \textit{B. Zegarliński}, Anal. Math. Phys. 12, No. 1, Paper No. 3, 33 p. (2022; Zbl 1489.53043) Full Text: DOI arXiv
Bieske, Thomas On the Lie algebra of polarizable Carnot groups. (English) Zbl 1461.53019 Anal. Math. Phys. 10, No. 4, Paper No. 80, 10 p. (2020). Reviewer: Nathaniel Eldredge (Storrs) MSC: 53C17 35A08 31C45 35H20 22E25 43A80 22E60 PDFBibTeX XMLCite \textit{T. Bieske}, Anal. Math. Phys. 10, No. 4, Paper No. 80, 10 p. (2020; Zbl 1461.53019) Full Text: DOI arXiv
He, Guoqing; Zhao, Peibiao The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with density. (English) Zbl 1509.53034 Anal. Math. Phys. 10, No. 2, Paper No. 24, 23 p. (2020). MSC: 53C17 49Q20 PDFBibTeX XMLCite \textit{G. He} and \textit{P. Zhao}, Anal. Math. Phys. 10, No. 2, Paper No. 24, 23 p. (2020; Zbl 1509.53034) Full Text: DOI
Bieske, Thomas; Freeman, Robert D. A \({\mathtt p}(\cdot )\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups. (English) Zbl 1404.46030 Anal. Math. Phys. 8, No. 2, 289-308 (2018); correction ibid. 9, No. 4, 1611-1612 (2019). MSC: 46E35 35J66 53C17 31C45 35H20 22E25 31E05 PDFBibTeX XMLCite \textit{T. Bieske} and \textit{R. D. Freeman}, Anal. Math. Phys. 8, No. 2, 289--308 (2018; Zbl 1404.46030) Full Text: DOI