Adamowicz, Tomasz; Veronelli, Giona Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces. (English) Zbl 07798934 Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 48, 31 p. (2024). MSC: 35B65 35J62 35R01 53C21 58E20 31C12 PDFBibTeX XMLCite \textit{T. Adamowicz} and \textit{G. Veronelli}, Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 48, 31 p. (2024; Zbl 07798934) Full Text: DOI arXiv OA License
Castro-Infantes, Jesús; Manzano, José M.; Torralbo, Francisco Conjugate plateau constructions in product spaces. (English) Zbl 07823914 Alarcón, Antonio (ed.) et al., New trends in geometric analysis. Spanish network of geometric analysis 2007–2021. Cham: Springer. RSME Springer Ser. 10, 43-118 (2023). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{J. Castro-Infantes} et al., RSME Springer Ser. 10, 43--118 (2023; Zbl 07823914) Full Text: DOI arXiv
Collin, Pascal; Hauswirth, Laurent; Nguyen, Minh Hoang Construction of minimal annuli in \(\widetilde{\mathrm{PSL}}_2(\mathbb{R},\tau)\) via a variational method. (English) Zbl 07758186 Math. Ann. 387, No. 3-4, 2105-2155 (2023). Reviewer: Antoine Song (Pasadena) MSC: 53A10 53C30 53C42 57M50 PDFBibTeX XMLCite \textit{P. Collin} et al., Math. Ann. 387, No. 3--4, 2105--2155 (2023; Zbl 07758186) Full Text: DOI arXiv
Coskunuzer, Baris Asymptotic Plateau problem in \(\mathbb{H}^2 \times \mathbb{R} \): tall curves. (English) Zbl 1528.53008 Indiana Univ. Math. J. 72, No. 3, 873-896 (2023). Reviewer: Rafael Lopez (Granada) MSC: 53A10 53C42 53C35 49Q05 PDFBibTeX XMLCite \textit{B. Coskunuzer}, Indiana Univ. Math. J. 72, No. 3, 873--896 (2023; Zbl 1528.53008) Full Text: DOI arXiv
Castro-Infantes, Jesús; Manzano, José M. Genus \(1\) minimal \(k\)-noids and saddle towers in \(\mathbb{H}^2\times \mathbb{R}\). (English) Zbl 1528.53006 J. Inst. Math. Jussieu 22, No. 5, 2155-2175 (2023). Reviewer: Pradip Kumar (Lucknow) MSC: 53A10 53C45 53C30 PDFBibTeX XMLCite \textit{J. Castro-Infantes} and \textit{J. M. Manzano}, J. Inst. Math. Jussieu 22, No. 5, 2155--2175 (2023; Zbl 1528.53006) Full Text: DOI arXiv
Coskunuzer, Baris Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\): non-fillable curves. (English) Zbl 07661002 J. Topol. Anal. 15, No. 1, 251-264 (2023). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{B. Coskunuzer}, J. Topol. Anal. 15, No. 1, 251--264 (2023; Zbl 07661002) Full Text: DOI arXiv
Folha, Abigail; Rosenberg, Harold Entire constant mean curvature graphs in \(\mathbb{H}^2\times\mathbb{R}\). (English) Zbl 1496.53012 Pac. J. Math. 316, No. 2, 307-333 (2022). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A10 53C21 53C42 PDFBibTeX XMLCite \textit{A. Folha} and \textit{H. Rosenberg}, Pac. J. Math. 316, No. 2, 307--333 (2022; Zbl 1496.53012) Full Text: DOI arXiv
Fotiadis, A.; Daskaloyannis, C. Beltrami equation for the harmonic diffeomorphisms between surfaces. (English) Zbl 1476.58018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112546, 21 p. (2022). MSC: 58E20 53C43 35J60 58J90 PDFBibTeX XMLCite \textit{A. Fotiadis} and \textit{C. Daskaloyannis}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112546, 21 p. (2022; Zbl 1476.58018) Full Text: DOI arXiv
Heinonen, Esko Survey on the asymptotic Dirichlet problem for the minimal surface equation. (English) Zbl 1484.53007 Hoffmann, Tim (ed.) et al., Minimal surfaces: integrable systems and visualisation. M:iv workshops, 2016–19. Cham: Springer. Springer Proc. Math. Stat. 349, 111-129 (2021). MSC: 53-02 53C42 53C21 35R01 PDFBibTeX XMLCite \textit{E. Heinonen}, Springer Proc. Math. Stat. 349, 111--129 (2021; Zbl 1484.53007) Full Text: DOI arXiv
Gama, Eddygledson S.; Heinonen, Esko; de Lira, Jorge H.; Martín, Francisco Jenkins-Serrin graphs in \(M\times \mathbb{R} \). (English) Zbl 1481.35189 Hoffmann, Tim (ed.) et al., Minimal surfaces: integrable systems and visualisation. M:iv workshops, 2016–19. Cham: Springer. Springer Proc. Math. Stat. 349, 89-109 (2021). MSC: 35J60 53A10 58J32 PDFBibTeX XMLCite \textit{E. S. Gama} et al., Springer Proc. Math. Stat. 349, 89--109 (2021; Zbl 1481.35189) Full Text: DOI arXiv
Coskunuzer, Baris Minimal surfaces with arbitrary topology in \(\mathbb{H}^2\times\mathbb{R}\). (English) Zbl 1489.53086 Algebr. Geom. Topol. 21, No. 6, 3123-3151 (2021). Reviewer: Rafael Lopez (Granada) MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{B. Coskunuzer}, Algebr. Geom. Topol. 21, No. 6, 3123--3151 (2021; Zbl 1489.53086) Full Text: DOI arXiv
Gama, Eddygledson S.; Heinonen, Esko; De Lira, Jorge H.; Martín, Francisco The Jenkins-Serrin problem for translating horizontal graphs in \(M\times\mathbb{R}\). (English) Zbl 1468.53075 Rev. Mat. Iberoam. 37, No. 3, 1083-1114 (2021). MSC: 53E10 53C42 53C21 PDFBibTeX XMLCite \textit{E. S. Gama} et al., Rev. Mat. Iberoam. 37, No. 3, 1083--1114 (2021; Zbl 1468.53075) Full Text: DOI arXiv
Klaser, Patricía; Menezes, Ana The Dirichlet problem for the constant mean curvature equation in \(\operatorname{Sol}_3\). (English) Zbl 1508.53067 Ill. J. Math. 63, No. 2, 259-297 (2019). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{P. Klaser} and \textit{A. Menezes}, Ill. J. Math. 63, No. 2, 259--297 (2019; Zbl 1508.53067) Full Text: DOI arXiv Euclid
Meeks, William H. III; Mira, Pablo; Pérez, Joaquín The geometry of stable minimal surfaces in metric Lie groups. (English) Zbl 1417.53065 Trans. Am. Math. Soc. 372, No. 2, 1023-1056 (2019). MSC: 53C42 53A10 49Q05 PDFBibTeX XMLCite \textit{W. H. Meeks III} et al., Trans. Am. Math. Soc. 372, No. 2, 1023--1056 (2019; Zbl 1417.53065) Full Text: DOI arXiv
Hauswirth, Laurent; Menezes, Ana; Rodríguez, Magdalena On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\). (English) Zbl 1414.53053 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 80, 24 p. (2019). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{L. Hauswirth} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 80, 24 p. (2019; Zbl 1414.53053) Full Text: DOI arXiv
Zhou, Hengyu The boundary behavior of domains with complete translating, minimal and CMC graphs in \(N^2\times\mathbb{R}\). (English) Zbl 1409.53056 Sci. China, Math. 62, No. 3, 585-596 (2019). MSC: 53C42 53A10 35J93 49Q05 PDFBibTeX XMLCite \textit{H. Zhou}, Sci. China, Math. 62, No. 3, 585--596 (2019; Zbl 1409.53056) Full Text: DOI arXiv
Coskunuzer, Baris Asymptotic Plateau problem in \(\mathbb{H}^2\times \mathbb{R}\). (English) Zbl 1404.53074 Sel. Math., New Ser. 24, No. 5, 4811-4838 (2018). Reviewer: James Hebda (St. Louis) MSC: 53C42 49Q05 53C40 PDFBibTeX XMLCite \textit{B. Coskunuzer}, Sel. Math., New Ser. 24, No. 5, 4811--4838 (2018; Zbl 1404.53074) Full Text: DOI arXiv
Manzano, José M.; Nelli, Barbara Height and area estimates for constant mean curvature graphs in \(\mathbb {E}(\kappa ,\tau )\)-spaces. (English) Zbl 1390.53063 J. Geom. Anal. 27, No. 4, 3441-3473 (2017). MSC: 53C42 53A10 53C30 PDFBibTeX XMLCite \textit{J. M. Manzano} and \textit{B. Nelli}, J. Geom. Anal. 27, No. 4, 3441--3473 (2017; Zbl 1390.53063) Full Text: DOI arXiv
Casteras, Jean-Baptiste; Holopainen, Ilkka; Ripoll, Jaime B. On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold. (English) Zbl 1380.58020 Potential Anal. 47, No. 4, 485-501 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 53C21 31C45 PDFBibTeX XMLCite \textit{J.-B. Casteras} et al., Potential Anal. 47, No. 4, 485--501 (2017; Zbl 1380.58020) Full Text: DOI arXiv Link
Sa Earp, Ricardo; Toubiana, Eric Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\). (English) Zbl 1380.53067 Math. Ann. 369, No. 3-4, 1599-1621 (2017). Reviewer: Atsushi Fujioka (Osaka) MSC: 53C42 53A10 49Q05 PDFBibTeX XMLCite \textit{R. Sa Earp} and \textit{E. Toubiana}, Math. Ann. 369, No. 3--4, 1599--1621 (2017; Zbl 1380.53067) Full Text: DOI arXiv
Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures. (English) Zbl 1372.58015 J. Geom. Anal. 27, No. 2, 1106-1130 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 53C21 PDFBibTeX XMLCite \textit{J.-B. Casteras} et al., J. Geom. Anal. 27, No. 2, 1106--1130 (2017; Zbl 1372.58015) Full Text: DOI arXiv Link
Lima, Vanderson The slab theorem for minimal surfaces in \(\mathbb {E}(-1,\tau)\). (English) Zbl 1373.53006 Ann. Global Anal. Geom. 51, No. 2, 189-208 (2017). Reviewer: Cihan Özgür (Balikesir) MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{V. Lima}, Ann. Global Anal. Geom. 51, No. 2, 189--208 (2017; Zbl 1373.53006) 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
Hauswirth, Laurent; Menezes, Ana On doubly periodic minimal surfaces in \(\mathbb H^2 \times\mathbb R\) with finite total curvature in the quotient space. (English) Zbl 1379.53080 Ann. Mat. Pura Appl. (4) 195, No. 5, 1491-1512 (2016). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{L. Hauswirth} and \textit{A. Menezes}, Ann. Mat. Pura Appl. (4) 195, No. 5, 1491--1512 (2016; Zbl 1379.53080) Full Text: DOI arXiv
Aiolfi, Ari; Ripoll, Jaime; Soret, Marc The Dirichlet problem for the minimal hypersurface equation on arbitrary domains of a Riemannian manifold. (English) Zbl 1338.53063 Manuscr. Math. 149, No. 1-2, 71-81 (2016). Reviewer: Vladimir Tkachev (Linköping) MSC: 53C21 58J05 53C42 PDFBibTeX XMLCite \textit{A. Aiolfi} et al., Manuscr. Math. 149, No. 1--2, 71--81 (2016; Zbl 1338.53063) Full Text: DOI
Hauswirth, Laurent; Nelli, Barbara; Sa Earp, Ricardo; Toubiana, Eric A Schoen theorem for minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\). (English) Zbl 1367.53052 Adv. Math. 274, 199-240 (2015). MSC: 53C42 53A10 49Q05 PDFBibTeX XMLCite \textit{L. Hauswirth} et al., Adv. Math. 274, 199--240 (2015; Zbl 1367.53052) Full Text: DOI
Mazet, L.; Wanderley, G. A. A half-space theorem for graphs of constant mean curvature \(0<H<\frac{1}{2}\) in \(\mathbb{H}^{2}\times\mathbb{R}\). (English) Zbl 1359.53052 Ill. J. Math. 59, No. 1, 43-53 (2015). Reviewer: Stefka Hineva (Sofia) MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{L. Mazet} and \textit{G. A. Wanderley}, Ill. J. Math. 59, No. 1, 43--53 (2015; Zbl 1359.53052) Full Text: arXiv Euclid
Alarcón, Antonio; Souam, Rabah Capillary surfaces inside polyhedral regions. (English) Zbl 1347.53011 Calc. Var. Partial Differ. Equ. 54, No. 2, 2149-2166 (2015). Reviewer: Peter M. Akhmet’ev (Troitsk) MSC: 53A10 49Q10 76B45 PDFBibTeX XMLCite \textit{A. Alarcón} and \textit{R. Souam}, Calc. Var. Partial Differ. Equ. 54, No. 2, 2149--2166 (2015; Zbl 1347.53011) Full Text: DOI arXiv
Collin, P.; Hauswirth, L.; Rosenberg, H. Properly immersed minimal surfaces in a slab of \(\mathbb H\times\mathbb R\), \(\mathbb H\) the hyperbolic plane. (English) Zbl 1321.53070 Arch. Math. 104, No. 5, 471-484 (2015). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{P. Collin} et al., Arch. Math. 104, No. 5, 471--484 (2015; Zbl 1321.53070) Full Text: DOI arXiv
Manzano, José M.; Rodríguez, M. Magdalena On complete constant mean curvature vertical multigraphs in \(\mathbb E(\kappa,\tau)\). (English) Zbl 1317.53077 J. Geom. Anal. 25, No. 1, 336-346 (2015). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C42 53A10 53C30 PDFBibTeX XMLCite \textit{J. M. Manzano} and \textit{M. M. Rodríguez}, J. Geom. Anal. 25, No. 1, 336--346 (2015; Zbl 1317.53077) Full Text: DOI arXiv
Nguyen, Minh Hoang The Dirichlet problem for the minimal surface equation in \(\mathrm{Sol}_{3}\), with possible infinite boundary data. (English) Zbl 1328.53077 Ill. J. Math. 58, No. 4, 891-937 (2014). MSC: 53C42 53A10 53A35 53B25 PDFBibTeX XMLCite \textit{M. H. Nguyen}, Ill. J. Math. 58, No. 4, 891--937 (2014; Zbl 1328.53077) Full Text: arXiv Euclid
Plehnert, Julia Constant mean curvature \(k\)-noids in homogeneous manifolds. (English) Zbl 1314.53109 Ill. J. Math. 58, No. 1, 233-249 (2014). MSC: 53C42 53A10 53C30 PDFBibTeX XMLCite \textit{J. Plehnert}, Ill. J. Math. 58, No. 1, 233--249 (2014; Zbl 1314.53109) Full Text: arXiv Euclid
Menezes, Ana A half-space theorem for ideal Scherk graphs in \(M \times \mathbb R\). (English) Zbl 1309.53005 Mich. Math. J. 63, No. 4, 675-685 (2014). MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{A. Menezes}, Mich. Math. J. 63, No. 4, 675--685 (2014; Zbl 1309.53005) Full Text: DOI arXiv Euclid
Melo, Sofia Minimal graphs in \(\widetilde{\mathrm{PSL}_2(\mathbb R)}\) over unbounded domains. (English) Zbl 1294.53056 Bull. Braz. Math. Soc. (N.S.) 45, No. 1, 91-116 (2014). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{S. Melo}, Bull. Braz. Math. Soc. (N.S.) 45, No. 1, 91--116 (2014; Zbl 1294.53056) Full Text: DOI
Martín, Francisco; Mazzeo, Rafe; Rodríguez, M. Magdalena Minimal surfaces with positive genus and finite total curvature in \(\mathbb{H}^2 \times \mathbb{R}\). (English) Zbl 1280.49062 Geom. Topol. 18, No. 1, 141-177 (2014). MSC: 49Q05 53A10 53C42 PDFBibTeX XMLCite \textit{F. Martín} et al., Geom. Topol. 18, No. 1, 141--177 (2014; Zbl 1280.49062) Full Text: DOI arXiv
Martín, Francisco; Rodríguez, M. Magdalena Non-simply connected minimal planar domains in \(\mathbb H^2\times\mathbb R\). (English) Zbl 1282.53009 Trans. Am. Math. Soc. 365, No. 12, 6167-6183 (2013). Reviewer: Harold Parks (Corvallis) MSC: 53A10 PDFBibTeX XMLCite \textit{F. Martín} and \textit{M. M. Rodríguez}, Trans. Am. Math. Soc. 365, No. 12, 6167--6183 (2013; Zbl 1282.53009) Full Text: DOI arXiv
Folha, Abigail; Rosenberg, Harold The Dirichlet problem for constant mean curvature graphs in \(\mathbb M\times\mathbb R\). (English) Zbl 1281.53013 Geom. Topol. 16, No. 2, 1171-1203 (2012). Reviewer: Robert Finn (Stanford) MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{A. Folha} and \textit{H. Rosenberg}, Geom. Topol. 16, No. 2, 1171--1203 (2012; Zbl 1281.53013) Full Text: DOI
Morabito, Filippo; Rodríguez, M. Magdalena Saddle towers and minimal \(k\)-noids in \(\mathbb H^{2} \times \mathbb R\). (English) Zbl 1238.53004 J. Inst. Math. Jussieu 11, No. 2, 333-349 (2012). MSC: 53A10 49Q05 58E12 PDFBibTeX XMLCite \textit{F. Morabito} and \textit{M. M. Rodríguez}, J. Inst. Math. Jussieu 11, No. 2, 333--349 (2012; Zbl 1238.53004) Full Text: DOI
Manzano, José M.; Pérez, Joaquín; Rodríguez, M. Magdalena Parabolic stable surfaces with constant mean curvature. (English) Zbl 1228.53009 Calc. Var. Partial Differ. Equ. 42, No. 1-2, 137-152 (2011). Reviewer: Kaarin Riives (Tartu) MSC: 53A10 49Q05 53C42 PDFBibTeX XMLCite \textit{J. M. Manzano} et al., Calc. Var. Partial Differ. Equ. 42, No. 1--2, 137--152 (2011; Zbl 1228.53009) Full Text: DOI arXiv
Pyo, Juncheol New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\). (English) Zbl 1242.53074 Ann. Global Anal. Geom. 40, No. 2, 167-176 (2011). Reviewer: Stefka Hineva (Sofia) MSC: 53C42 53A35 53C40 PDFBibTeX XMLCite \textit{J. Pyo}, Ann. Global Anal. Geom. 40, No. 2, 167--176 (2011; Zbl 1242.53074) Full Text: DOI
Lee, Hojoo Maximal surfaces in Lorentzian Heisenberg space. (English) Zbl 1216.53055 Differ. Geom. Appl. 29, No. 1, 73-84 (2011). Reviewer: Weihuan Chen (Beijing) MSC: 53C42 53A10 53C43 53B30 PDFBibTeX XMLCite \textit{H. Lee}, Differ. Geom. Appl. 29, No. 1, 73--84 (2011; Zbl 1216.53055) Full Text: DOI
Younes, Rami Minimal surfaces in \(\widehat PSL_2(\mathbb R)\). (English) Zbl 1235.53064 Ill. J. Math. 54, No. 2, 671-712 (2010). Reviewer: Erich Hoy (Friedberg) MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{R. Younes}, Ill. J. Math. 54, No. 2, 671--712 (2010; Zbl 1235.53064) Full Text: arXiv Euclid
Collin, Pascal; Rosenberg, Harold Asymptotic values of minimal graphs in a disc. (English) Zbl 1239.53004 Ann. Inst. Fourier 60, No. 7, 2357-2372 (2010). Reviewer: Harold Parks (Corvallis) MSC: 53A10 53C43 PDFBibTeX XMLCite \textit{P. Collin} and \textit{H. Rosenberg}, Ann. Inst. Fourier 60, No. 7, 2357--2372 (2010; Zbl 1239.53004) Full Text: DOI Numdam EuDML
Fernández, Isabel; Mira, Pablo Holomorphic quadratic differentials and the Bernstein problem in Heisenberg space. (English) Zbl 1181.53051 Trans. Am. Math. Soc. 361, No. 11, 5737-5752 (2009). Reviewer: Christos Baikoussis (Ioannina) MSC: 53C42 53A10 53A35 PDFBibTeX XMLCite \textit{I. Fernández} and \textit{P. Mira}, Trans. Am. Math. Soc. 361, No. 11, 5737--5752 (2009; Zbl 1181.53051) Full Text: DOI arXiv
Sa Earp, R.; Toubiana, E. An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\). (English) Zbl 1154.53039 Math. Ann. 342, No. 2, 309-331 (2008). MSC: 53C42 PDFBibTeX XMLCite \textit{R. Sa Earp} and \textit{E. Toubiana}, Math. Ann. 342, No. 2, 309--331 (2008; Zbl 1154.53039) Full Text: DOI arXiv