Nelli, Barbara; Pipoli, Giuseppe Constant mean curvature hypersurfaces in \(\mathbb{H}^n \times \mathbb{R}\) with small planar boundary. (English) Zbl 1519.53053 Rev. Mat. Iberoam. 39, No. 4, 1387-1404 (2023). MSC: 53C42 PDFBibTeX XMLCite \textit{B. Nelli} and \textit{G. Pipoli}, Rev. Mat. Iberoam. 39, No. 4, 1387--1404 (2023; Zbl 1519.53053) Full Text: DOI arXiv
de Lima, R. F.; Manfio, F.; dos Santos, J. P. Hypersurfaces of constant higher-order mean curvature in \(M\times{\mathbb{R}}\). (English) Zbl 1504.53033 Ann. Mat. Pura Appl. (4) 201, No. 6, 2979-3028 (2022). MSC: 53B25 53A07 53C24 53C42 PDFBibTeX XMLCite \textit{R. F. de Lima} et al., Ann. Mat. Pura Appl. (4) 201, No. 6, 2979--3028 (2022; Zbl 1504.53033) Full Text: DOI arXiv
Bueno, Antonio; Ortiz, Irene Rotational surfaces with prescribed mean curvature in \(\mathbb{H}^2 \times \mathbb{R}\). (English) Zbl 1494.53074 Ann. Mat. Pura Appl. (4) 201, No. 3, 1257-1277 (2022). MSC: 53C42 53A10 34C05 34C40 PDFBibTeX XMLCite \textit{A. Bueno} and \textit{I. Ortiz}, Ann. Mat. Pura Appl. (4) 201, No. 3, 1257--1277 (2022; Zbl 1494.53074) Full Text: DOI arXiv
Alvarez, Yunelsy N.; Sa Earp, Ricardo Sharp solvability criteria for Dirichlet problems of mean curvature type in Riemannian manifolds: non-existence results. (English) Zbl 1428.53070 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 197, 12 p. (2019). MSC: 53C42 49Q05 35J25 35J60 PDFBibTeX XMLCite \textit{Y. N. Alvarez} and \textit{R. Sa Earp}, Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 197, 12 p. (2019; Zbl 1428.53070) Full Text: DOI arXiv
Bérard, Pierre; Sa Earp, Ricardo Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index. (English) Zbl 1351.53067 Boll. Unione Mat. Ital. 9, No. 3, 341-362 (2016). MSC: 53C42 53C40 PDFBibTeX XMLCite \textit{P. Bérard} and \textit{R. Sa Earp}, Boll. Unione Mat. Ital. 9, No. 3, 341--362 (2016; Zbl 1351.53067) Full Text: DOI arXiv
Elbert, Maria Fernanda; Sa Earp, Ricardo Constructions of \(H_r\)-hypersurfaces, barriers and Alexandrov theorem in \(\mathbb H^n\times\mathbb R\). (English) Zbl 1329.53084 Ann. Mat. Pura Appl. (4) 194, No. 6, 1809-1834 (2015). MSC: 53C42 53A10 53C21 PDFBibTeX XMLCite \textit{M. F. Elbert} and \textit{R. Sa Earp}, Ann. Mat. Pura Appl. (4) 194, No. 6, 1809--1834 (2015; Zbl 1329.53084) Full Text: DOI arXiv
Gálvez, José A.; Lozano, Victorino Geometric barriers for the existence of hypersurfaces with prescribed curvatures in \(\mathbb M^n\times\mathbb R\). (English) Zbl 1341.58014 Calc. Var. Partial Differ. Equ. 54, No. 2, 2407-2419 (2015). Reviewer: Shawn Rafalski (Fairfield) MSC: 58J05 53A10 PDFBibTeX XMLCite \textit{J. A. Gálvez} and \textit{V. Lozano}, Calc. Var. Partial Differ. Equ. 54, No. 2, 2407--2419 (2015; Zbl 1341.58014) Full Text: DOI arXiv
Elbert, Maria Fernanda; Sa Earp, Ricardo All solutions of the CMC-equation in \({\mathbb H^n\times\mathbb R}\) invariant by parabolic screw motion. (English) Zbl 1296.53114 Ann. Mat. Pura Appl. (4) 193, No. 1, 103-114 (2014). Reviewer: James Hebda (St. Louis) MSC: 53C40 53A10 35J15 PDFBibTeX XMLCite \textit{M. F. Elbert} and \textit{R. Sa Earp}, Ann. Mat. Pura Appl. (4) 193, No. 1, 103--114 (2014; Zbl 1296.53114) Full Text: DOI
Leandro, Claudemir; Rosenberg, Harold A relation between height, area, and volume for compact constant mean curvature surfaces in \(\mathbb M^{2} \times \mathbb R\). (English) Zbl 1260.53115 Mich. Math. J. 61, No. 1, 123-131 (2012). MSC: 53C42 PDFBibTeX XMLCite \textit{C. Leandro} and \textit{H. Rosenberg}, Mich. Math. J. 61, No. 1, 123--131 (2012; Zbl 1260.53115) Full Text: DOI Euclid
De Lima, Henrique F.; Parente, Ulisses L. A Bernstein type theorem in \(\mathbb R\times\mathbb H^n\). (English) Zbl 1276.53067 Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 17-26 (2012). Reviewer: Gábor Tóth (Camden) MSC: 53C42 53B30 53C50 53D25 PDFBibTeX XMLCite \textit{H. F. De Lima} and \textit{U. L. Parente}, Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 17--26 (2012; Zbl 1276.53067) Full Text: DOI