Byeon, Jaeyoung; Ikoma, Norihisa; Malchiodi, Andrea; Mari, Luciano Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model. (English) Zbl 1539.35024 Ann. PDE 10, No. 1, Paper No. 4, 86 p. (2024). Reviewer: Giovany Malcher Figueiredo (Brasília) MSC: 35B65 35B38 35J62 35R06 49J40 53B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tran, Hung; Zhou, Detang On the Morse index with constraints for capillary surfaces. (English) Zbl 1512.53009 J. Geom. Anal. 33, No. 4, Paper No. 110, 32 p. (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 53A10 53C42 49Q10 58E05 76B45 26A33 58J20 × Cite Format Result Cite Review PDF Full Text: DOI
Schmidt, Stephan; Gräßer, Melanie; Schmid, Hans-Joachim A shape Newton scheme for deforming shells with application to capillary bridges. (English) Zbl 1496.49016 SIAM J. Sci. Comput. 44, No. 4, B1175-B1194 (2022). MSC: 49M05 49Q10 49M15 49M37 65D18 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jikumaru, Yoshiki On the stability problem of equilibrium discrete planar curves. (English) Zbl 1492.49041 Discrete Comput. Geom. 67, No. 2, 543-563 (2022). Reviewer: Costică Moroşanu (Iaşi) MSC: 49Q10 53A04 53A70 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Saturnino, Artur B. On the genus and area of constant mean curvature surfaces with bounded index. (English) Zbl 1486.53076 J. Geom. Anal. 31, No. 12, 11971-11987 (2021). Reviewer: Dorin Andrica (Riyadh) MSC: 53C42 53A10 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iglesias, José A.; Mercier, Gwenael Influence of dimension on the convergence of level-sets in total variation regularization. (English) Zbl 1458.49030 ESAIM, Control Optim. Calc. Var. 26, Paper No. 52, 27 p. (2020). Reviewer: Savin Treanta (Bucureşti) MSC: 49N45 49Q20 65J20 65J22 53A10 46B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavalcante, Marcos Petrúcio; de Oliveira, Darlan Ferreira Lower bounds for the index of compact constant mean curvature surfaces in \(\mathbb{R}^3\) and \(\mathbb S^3\). (English) Zbl 1437.53044 Rev. Mat. Iberoam. 36, No. 1, 195-206 (2020). MSC: 53C42 49Q10 53A10 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayrakdar, T.; Ergin, A. A. Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE. (English) Zbl 1397.53073 Mediterr. J. Math. 15, No. 4, Paper No. 183, 1-12 (2018). MSC: 53C42 53B25 49Q05 34A26 58A20 × Cite Format Result Cite Review PDF Full Text: DOI
Brubaker, Nicholas D. A continuation method for computing constant mean curvature surfaces with boundary. (English) Zbl 1397.49029 SIAM J. Sci. Comput. 40, No. 4, A2568-A2583 (2018). MSC: 49K20 53A05 53A10 76B45 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seo, Keomkyo Necessary conditions and nonexistence results for connected submanifolds in a Riemannian manifold. (English) Zbl 1377.49046 Adv. Math. 321, 205-220 (2017). MSC: 49Q05 53A10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Renka, Robert J. A simple and efficient method for modeling constant mean curvature surfaces. (English) Zbl 1347.49071 SIAM J. Sci. Comput. 37, No. 4, A2076-A2099 (2015). MSC: 49Q10 49Q05 49M25 49M15 49M20 53A10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bretin, Elie; Masnou, Simon; Oudet, Édouard Phase-field approximations of the Willmore functional and flow. (English) Zbl 1326.49018 Numer. Math. 131, No. 1, 115-171 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49J45 49Q20 49M25 35K35 35K55 65D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Renka, Robert J. A trust region method for constructing triangle-mesh approximations of parametric minimal surfaces. (English) Zbl 1288.65023 Appl. Numer. Math. 76, 93-100 (2014). MSC: 65D17 65K05 90C51 53A10 49Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Rossman, Wayne; Schmitt, Nicholas Simultaneous unitarizability of \(SL_n\mathbb{C}\)-valued maps,and costant mean curvature \(k\)-noid monodromy. (English) Zbl 1150.53021 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 5, No. 4, 549-577 (2006). Reviewer: Luc Vrancken (Valenciennes) MSC: 53C42 53A35 49Q10 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML
Morgan, Frank Streams of cylindrical water. (English) Zbl 1075.53009 Math. Intell. 26, No. 3, 70-72 (2004). Reviewer: F. Tomi (Heidelberg) MSC: 53A10 49-01 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Rossman, Wayne Minimal surfaces in \(\mathbb{R}^ 3\) with dihedral symmetry. (English) Zbl 0834.53013 Tôhoku Math. J., II. Ser. 47, No. 1, 31-54 (1995). Reviewer: K.Polthier (Berlin) MSC: 53A10 49Q05 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv