Montezuma, Rafael A mountain pass theorem for minimal hypersurfaces with fixed boundary. (English) Zbl 07294609 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 188, 29 p. (2020). MSC: 53C42 53C20 58E05 58E12 PDF BibTeX XML Cite \textit{R. Montezuma}, Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 188, 29 p. (2020; Zbl 07294609) Full Text: DOI
Zhou, Xin On the multiplicity one conjecture in min-max theory. (English) Zbl 07285354 Ann. Math. (2) 192, No. 3, 767-820 (2020). MSC: 53C42 58E12 49Q05 49J35 PDF BibTeX XML Cite \textit{X. Zhou}, Ann. Math. (2) 192, No. 3, 767--820 (2020; Zbl 07285354) Full Text: DOI
Rodríguez Cárdenas, Carlos Wilson Genericity of nondegenerate free boundary CMC embeddings. (English) Zbl 07273303 Mediterr. J. Math. 17, No. 6, Paper No. 188, 25 p. (2020). MSC: 53C42 58E12 49Q10 PDF BibTeX XML Cite \textit{C. W. Rodríguez Cárdenas}, Mediterr. J. Math. 17, No. 6, Paper No. 188, 25 p. (2020; Zbl 07273303) Full Text: DOI
Fernández-Real, Xavier; Serra, Joaquim Regularity of minimal surfaces with lower-dimensional obstacles. (English) Zbl 07268722 J. Reine Angew. Math. 767, 37-75 (2020). Reviewer: Xinyang Lu (Thunder Bay) MSC: 49Q05 53A10 58E12 PDF BibTeX XML Cite \textit{X. Fernández-Real} and \textit{J. Serra}, J. Reine Angew. Math. 767, 37--75 (2020; Zbl 07268722) Full Text: DOI
Cesaroni, Annalisa; Novaga, Matteo Nonlocal minimal clusters in the plane. (English) Zbl 1447.49058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 111945, 10 p. (2020). MSC: 49Q05 58E12 35R11 PDF BibTeX XML Cite \textit{A. Cesaroni} and \textit{M. Novaga}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 111945, 10 p. (2020; Zbl 1447.49058) Full Text: DOI
Yan, Weiping Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in \(\mathbb{R}^{1+3}\). (English) Zbl 1448.35070 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 124, 40 p. (2020). MSC: 35C06 35Q75 35B35 37N20 49Q05 53A10 58E12 81T30 PDF BibTeX XML Cite \textit{W. Yan}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 124, 40 p. (2020; Zbl 1448.35070) Full Text: DOI
Smith, Graham The Plateau problem for convex curvature functions. (Le problème de Plateau pour des fonctions de courbure convexes.) (English. French summary) Zbl 1441.58012 Ann. Inst. Fourier 70, No. 1, 1-66 (2020). Reviewer: Said El Manouni (Berlin) MSC: 58E12 35J25 35J60 53C21 53C42 PDF BibTeX XML Cite \textit{G. Smith}, Ann. Inst. Fourier 70, No. 1, 1--66 (2020; Zbl 1441.58012) Full Text: DOI
Funk, Quentin; Hardt, Robert A multiple-valued plateau problem. (English) Zbl 1439.49079 Indiana Univ. Math. J. 69, No. 1, 37-71 (2020). MSC: 49Q15 49Q05 58E12 53C18 PDF BibTeX XML Cite \textit{Q. Funk} and \textit{R. Hardt}, Indiana Univ. Math. J. 69, No. 1, 37--71 (2020; Zbl 1439.49079) Full Text: DOI
Fouladgar, K.; Simon, Leon The symmetric minimal surface equation. (English) Zbl 07197962 Indiana Univ. Math. J. 69, No. 1, 331-366 (2020). MSC: 49Q05 49Q15 58E12 53A10 PDF BibTeX XML Cite \textit{K. Fouladgar} and \textit{L. Simon}, Indiana Univ. Math. J. 69, No. 1, 331--366 (2020; Zbl 07197962) Full Text: DOI
Colding, Tobias Holck Book review of: J. D. Moore, Introduction to global analysis. Minimal surfaces in Riemannian manifolds. (English) Zbl 07180775 Bull. Am. Math. Soc., New Ser. 57, No. 2, 353-356 (2020). MSC: 00A17 53-02 53C42 53C20 58E12 46T10 PDF BibTeX XML Cite \textit{T. H. Colding}, Bull. Am. Math. Soc., New Ser. 57, No. 2, 353--356 (2020; Zbl 07180775) Full Text: DOI
Figalli, Alessio; Serra, Joaquim On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\). (English) Zbl 1441.35254 Invent. Math. 219, No. 1, 153-177 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 35R11 35J61 58E12 PDF BibTeX XML Cite \textit{A. Figalli} and \textit{J. Serra}, Invent. Math. 219, No. 1, 153--177 (2020; Zbl 1441.35254) Full Text: DOI arXiv
Caffarelli, Luis A.; Sire, Yannick Minimal surfaces and free boundaries: recent developments. (English) Zbl 1433.35464 Bull. Am. Math. Soc., New Ser. 57, No. 1, 91-106 (2020). Reviewer: Gabjin Yun (Yongin) MSC: 35R35 35A01 49J45 53A10 49Q05 58E12 PDF BibTeX XML Cite \textit{L. A. Caffarelli} and \textit{Y. Sire}, Bull. Am. Math. Soc., New Ser. 57, No. 1, 91--106 (2020; Zbl 1433.35464) Full Text: DOI
Zadra, Michele; Mansfield, Elizabeth L. Using Lie group integrators to solve two and higher dimensional variational problems with symmetry. (English) Zbl 1433.58015 J. Comput. Dyn. 6, No. 2, 485-511 (2019). MSC: 58E12 65D30 PDF BibTeX XML Cite \textit{M. Zadra} and \textit{E. L. Mansfield}, J. Comput. Dyn. 6, No. 2, 485--511 (2019; Zbl 1433.58015) Full Text: DOI
Collier, Brian; Tholozan, Nicolas; Toulisse, Jérémy The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\). (English) Zbl 07145323 Duke Math. J. 168, No. 15, 2873-2949 (2019). MSC: 20H10 53C50 14H60 22E40 58E12 57M50 PDF BibTeX XML Cite \textit{B. Collier} et al., Duke Math. J. 168, No. 15, 2873--2949 (2019; Zbl 07145323) Full Text: DOI Euclid
Haslhofer, Robert; Ketover, Daniel Minimal 2-spheres in 3-spheres. (English) Zbl 1426.49042 Duke Math. J. 168, No. 10, 1929-1975 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 49Q05 53E10 58E12 49J35 PDF BibTeX XML Cite \textit{R. Haslhofer} and \textit{D. Ketover}, Duke Math. J. 168, No. 10, 1929--1975 (2019; Zbl 1426.49042) Full Text: DOI Euclid
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico Fattening and nonfattening phenomena for planar nonlocal curvature flows. (English) Zbl 1426.53095 Math. Ann. 375, No. 1-2, 687-736 (2019). Reviewer: Yong Wei (Act) MSC: 53E10 35D40 35R11 58E12 PDF BibTeX XML Cite \textit{A. Cesaroni} et al., Math. Ann. 375, No. 1--2, 687--736 (2019; Zbl 1426.53095) Full Text: DOI arXiv
Le, Nam Q.; Sternberg, Peter J. Asymptotic behavior of Allen-Cahn-type energies and Neumann eigenvalues via inner variations. (English) Zbl 1420.49050 Ann. Mat. Pura Appl. (4) 198, No. 4, 1257-1293 (2019). MSC: 49R05 49J45 58E30 49K20 58E12 PDF BibTeX XML Cite \textit{N. Q. Le} and \textit{P. J. Sternberg}, Ann. Mat. Pura Appl. (4) 198, No. 4, 1257--1293 (2019; Zbl 1420.49050) Full Text: DOI
Gruber, Anthony; Toda, Magdalena; Tran, Hung On the variation of curvature functionals in a space form with application to a generalized Willmore energy. (English) Zbl 1417.58009 Ann. Global Anal. Geom. 56, No. 1, 147-165 (2019). MSC: 58E12 53C42 53A05 53A35 49Q05 PDF BibTeX XML Cite \textit{A. Gruber} et al., Ann. Global Anal. Geom. 56, No. 1, 147--165 (2019; Zbl 1417.58009) Full Text: DOI
Brendle, Simon; Choi, Kyeongsu Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\). (English) Zbl 1414.53059 Invent. Math. 217, No. 1, 35-76 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 53C44 35K55 53A10 58E12 PDF BibTeX XML Cite \textit{S. Brendle} and \textit{K. Choi}, Invent. Math. 217, No. 1, 35--76 (2019; Zbl 1414.53059) Full Text: DOI
Marques, Fernando C.; Neves, André; Song, Antoine Equidistribution of minimal hypersurfaces for generic metrics. (English) Zbl 1419.53061 Invent. Math. 216, No. 2, 421-443 (2019). MSC: 53C42 53A10 58E12 PDF BibTeX XML Cite \textit{F. C. Marques} et al., Invent. Math. 216, No. 2, 421--443 (2019; Zbl 1419.53061) Full Text: DOI arXiv
Hashimoto, Kaname; Kato, Shin Bicomplex extensions of zero mean curvature surfaces in \(\mathbb{R}^{2, 1}\) and \(\mathbb{R}^{2, 2}\). (English) Zbl 1414.53052 J. Geom. Phys. 138, 223-240 (2019). MSC: 53C42 58E12 PDF BibTeX XML Cite \textit{K. Hashimoto} and \textit{S. Kato}, J. Geom. Phys. 138, 223--240 (2019; Zbl 1414.53052) Full Text: DOI
Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. (English) Zbl 1411.49026 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 655-703 (2019). MSC: 49Q05 35R11 58E12 PDF BibTeX XML Cite \textit{C. Bucur} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 655--703 (2019; Zbl 1411.49026) Full Text: DOI
Schumacher, Henrik; Wardetzky, Max Variational convergence of discrete minimal surfaces. (English) Zbl 1408.49039 Numer. Math. 141, No. 1, 173-213 (2019). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 49Q05 53A10 58E12 PDF BibTeX XML Cite \textit{H. Schumacher} and \textit{M. Wardetzky}, Numer. Math. 141, No. 1, 173--213 (2019; Zbl 1408.49039) Full Text: DOI arXiv
Han, Xiaoli; Li, Jiayu; Sun, Jun The deformation of symplectic critical surfaces in a Kähler surface. I. (English) Zbl 1409.58006 Int. Math. Res. Not. 2018, No. 20, 6290-6328 (2018). MSC: 58E12 PDF BibTeX XML Cite \textit{X. Han} et al., Int. Math. Res. Not. 2018, No. 20, 6290--6328 (2018; Zbl 1409.58006) Full Text: DOI
Koiso, Miyuki; Piccione, Paolo; Shoda, Toshihiro On bifurcation and local rigidity of triply periodic minimal surfaces in \(\mathbb{R}^3\). (Sur la bifurcation et la rigidité locale des surfaces minimales triplement périodiques dans \(\mathbb{R}^3\).) (English. French summary) Zbl 1408.53007 Ann. Inst. Fourier 68, No. 6, 2743-2778 (2018). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A10 58J55 58E12 35J62 PDF BibTeX XML Cite \textit{M. Koiso} et al., Ann. Inst. Fourier 68, No. 6, 2743--2778 (2018; Zbl 1408.53007) Full Text: DOI arXiv
Marques, Fernando C.; Neves, André The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates. (English) Zbl 1435.53047 Cao, Huai-Dong (ed.) et al., Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the Geometry and Topology Conference at Harvard University, Cambridge, MA, USA, April 28 – May 2, 2017. Somerville, MA: International Press. Surv. Differ. Geom. 22, 319-329 (2018). MSC: 53C42 57R19 53A10 58E12 53-02 PDF BibTeX XML Cite \textit{F. C. Marques} and \textit{A. Neves}, Surv. Differ. Geom. 22, 319--329 (2018; Zbl 1435.53047) Full Text: DOI
Kazhymurat, A. A. On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in \(\mathbb{C}P^2\). (English. Russian original) Zbl 1402.58011 Sib. Math. J. 59, No. 4, 641-647 (2018); translation from Sib. Mat. Zh. 59, No. 4, 814-822 (2018). MSC: 58E12 53D12 PDF BibTeX XML Cite \textit{A. A. Kazhymurat}, Sib. Math. J. 59, No. 4, 641--647 (2018; Zbl 1402.58011); translation from Sib. Mat. Zh. 59, No. 4, 814--822 (2018) Full Text: DOI arXiv
White, Brian Reprint: Nonunique tangent maps at isolated singularities of harmonic maps. (English) Zbl 1398.58005 Bull. Am. Math. Soc., New Ser. 55, No. 3, 125-129 (original pagination) (2018). MSC: 58E12 58E15 58E20 49Q20 35J60 PDF BibTeX XML Cite \textit{B. White}, Bull. Am. Math. Soc., New Ser. 55, No. 3, 125--129 (original pagination) (2018; Zbl 1398.58005)
Kim, Hwajeong Morse theory for minimal surfaces in manifolds. (English) Zbl 06970068 Ann. Global Anal. Geom. 54, No. 2, 273-299 (2018). MSC: 58E05 58E20 37B30 53A10 58E12 PDF BibTeX XML Cite \textit{H. Kim}, Ann. Global Anal. Geom. 54, No. 2, 273--299 (2018; Zbl 06970068) Full Text: DOI
Klein, Sebastian A spectral theory for simply periodic solutions of the Sinh-Gordon equation. (English) Zbl 1410.35002 Lecture Notes in Mathematics 2229. Cham: Springer (ISBN 978-3-030-01275-5/pbk; 978-3-030-01276-2/ebook). viii, 332 p. (2018). MSC: 35-02 35Q53 35Q55 37K10 35R30 37K15 37K25 40A20 53A10 58E12 35P05 PDF BibTeX XML Cite \textit{S. Klein}, A spectral theory for simply periodic solutions of the Sinh-Gordon equation. Cham: Springer (2018; Zbl 1410.35002) Full Text: DOI
Ma, Hui; Mironov, Andrey E.; Zuo, Dafeng An energy functional for Lagrangian tori in \(\mathbb {C}P^2\). (English) Zbl 1394.37104 Ann. Global Anal. Geom. 53, No. 4, 583-595 (2018). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K20 53D12 58E12 PDF BibTeX XML Cite \textit{H. Ma} et al., Ann. Global Anal. Geom. 53, No. 4, 583--595 (2018; Zbl 1394.37104) Full Text: DOI
Minicozzi, William P. II. Commentary on “Nonunique tangent maps at isolated singularities of harmonic maps” by Brian White. (English) Zbl 1390.58001 Bull. Am. Math. Soc., New Ser. 55, No. 3, 359-362 (2018). MSC: 58-03 01A60 58E12 58E15 58E20 PDF BibTeX XML Cite \textit{W. P. II. Minicozzi}, Bull. Am. Math. Soc., New Ser. 55, No. 3, 359--362 (2018; Zbl 1390.58001) Full Text: DOI
Urban, Zbyněk; Brajerčík, Ján The fundamental Lepage form in variational theory for submanifolds. (English) Zbl 1447.58017 Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850103, 30 p. (2018). MSC: 58E12 58E30 53A10 70H03 70H33 PDF BibTeX XML Cite \textit{Z. Urban} and \textit{J. Brajerčík}, Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850103, 30 p. (2018; Zbl 1447.58017) Full Text: DOI arXiv
Morabito, Filippo Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb{H}^2 \times \mathbb{R}\). (English) Zbl 1388.58010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 208-237 (2018). Reviewer: Atsushi Fujioka (Osaka) MSC: 58E12 49Q05 53A10 PDF BibTeX XML Cite \textit{F. Morabito}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 208--237 (2018; Zbl 1388.58010) Full Text: DOI
Guaraco, Marco A. M. Min-max for phase transitions and the existence of embedded minimal hypersurfaces. (English) Zbl 1387.49060 J. Differ. Geom. 108, No. 1, 91-133 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 49Q05 53C42 58E12 35B25 35J20 82B26 53C80 49J35 PDF BibTeX XML Cite \textit{M. A. M. Guaraco}, J. Differ. Geom. 108, No. 1, 91--133 (2018; Zbl 1387.49060) Full Text: DOI Euclid arXiv
Alessandrini, Daniele; Li, Qiongling AdS 3-manifolds and Higgs bundles. (English) Zbl 1433.53037 Proc. Am. Math. Soc. 146, No. 2, 845-860 (2018). Reviewer: Hamid Reza Salimi Moghaddam (Isfahan) MSC: 53C07 57K20 58E12 58E20 PDF BibTeX XML Cite \textit{D. Alessandrini} and \textit{Q. Li}, Proc. Am. Math. Soc. 146, No. 2, 845--860 (2018; Zbl 1433.53037) Full Text: DOI arXiv
Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca Deformations of free boundary CMC hypersurfaces. (English) Zbl 1390.53056 J. Geom. Anal. 27, No. 4, 3254-3284 (2017). MSC: 53C42 53A10 35R35 58D19 58E12 PDF BibTeX XML Cite \textit{R. G. Bettiol} et al., J. Geom. Anal. 27, No. 4, 3254--3284 (2017; Zbl 1390.53056) Full Text: DOI
Moore, John Douglas Introduction to global analysis. Minimal surfaces in Riemannian manifolds. (English) Zbl 06826501 Graduate Studies in Mathematics 187. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2950-8/hbk; 978-1-4704-4317-7/ebook). xiv, 368 p. (2017). MSC: 53-02 53C42 53C20 58E12 46T10 PDF BibTeX XML Cite \textit{J. D. Moore}, Introduction to global analysis. Minimal surfaces in Riemannian manifolds. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 06826501) Full Text: DOI
Koiso, Miyuki; Palmer, Bennett; Piccione, Paolo Stability and bifurcation for surfaces with constant mean curvature. (English) Zbl 1382.58012 J. Math. Soc. Japan 69, No. 4, 1519-1554 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 58E12 53A10 49Q10 49R05 53C42 PDF BibTeX XML Cite \textit{M. Koiso} et al., J. Math. Soc. Japan 69, No. 4, 1519--1554 (2017; Zbl 1382.58012) Full Text: DOI Euclid
Buet, Blanche; Leonardi, Gian Paolo; Masnou, Simon A varifold approach to surface approximation. (English) Zbl 1378.49052 Arch. Ration. Mech. Anal. 226, No. 2, 639-694 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q15 49Q05 58E12 58C35 65D18 28A75 PDF BibTeX XML Cite \textit{B. Buet} et al., Arch. Ration. Mech. Anal. 226, No. 2, 639--694 (2017; Zbl 1378.49052) Full Text: DOI
Klein, Sebastian Spectral data for simply periodic solutions of the sinh-Gordon equation. (English) Zbl 1376.53014 Differ. Geom. Appl. 54, Part A, 129-149 (2017). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A10 58E12 14H40 30D10 35J15 35R30 40A20 PDF BibTeX XML Cite \textit{S. Klein}, Differ. Geom. Appl. 54, Part A, 129--149 (2017; Zbl 1376.53014) Full Text: DOI
Zhou, Xin On the existence of min-max minimal surface of genus \(g\geq2\). (English) Zbl 1369.49059 Commun. Contemp. Math. 19, No. 4, Article ID 1750041, 36 p. (2017). MSC: 49Q05 49J35 58E20 58E12 53A10 PDF BibTeX XML Cite \textit{X. Zhou}, Commun. Contemp. Math. 19, No. 4, Article ID 1750041, 36 p. (2017; Zbl 1369.49059) Full Text: DOI
Struwe, Michael Variational methods in geometry. (English) Zbl 1371.49038 Jahresber. Dtsch. Math.-Ver. 119, No. 2, 71-91 (2017). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49Q05 49-02 53-02 58-02 58E05 58E10 58E12 58E20 53C22 53A10 PDF BibTeX XML Cite \textit{M. Struwe}, Jahresber. Dtsch. Math.-Ver. 119, No. 2, 71--91 (2017; Zbl 1371.49038) Full Text: DOI
Klose, Thomas; Loebbert, Florian; Münkler, Hagen Nonlocal symmetries, spectral parameter and minimal surfaces in AdS/CFT. (English) Zbl 1356.81181 Nucl. Phys., B 916, 320-372 (2017). MSC: 81T20 81T40 81R05 81P40 58E12 39A12 81T80 PDF BibTeX XML Cite \textit{T. Klose} et al., Nucl. Phys., B 916, 320--372 (2017; Zbl 1356.81181) Full Text: DOI arXiv
López, Rafael Stability and bifurcation of a capillary surface on a cylinder. (English) Zbl 1408.53010 SIAM J. Appl. Math. 77, No. 1, 108-127 (2017). MSC: 53A10 58E12 49Q10 49K30 PDF BibTeX XML Cite \textit{R. López}, SIAM J. Appl. Math. 77, No. 1, 108--127 (2017; Zbl 1408.53010) Full Text: DOI
Hauswirth, L.; Mazet, L. Variational aspect of minimal surfaces and Willmore’s conjecture. (Aspect variationnel des surfaces minimales et conjecture de Willmore.) (French) Zbl 1364.58007 Gaz. Math., Soc. Math. Fr. 147, 19-29 (2016). Reviewer: Constantin Călin (Iaşi) MSC: 58E12 53C42 49J35 PDF BibTeX XML Cite \textit{L. Hauswirth} and \textit{L. Mazet}, Gaz. Math., Soc. Math. Fr. 147, 19--29 (2016; Zbl 1364.58007)
Smith, Graham Bifurcation of solutions to the Allen-Cahn equation. (English) Zbl 1362.58007 J. Lond. Math. Soc., II. Ser. 94, No. 3, 667-687 (2016). Reviewer: Jesús Hernández (Madrid) MSC: 58E07 58E05 58J55 58E30 58E12 PDF BibTeX XML Cite \textit{G. Smith}, J. Lond. Math. Soc., II. Ser. 94, No. 3, 667--687 (2016; Zbl 1362.58007) Full Text: DOI arXiv
Marques, Fernando C.; Neves, André Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces. (English) Zbl 1367.49036 Camb. J. Math. 4, No. 4, 463-511 (2016). Reviewer: Eduardo Hulett (Cordoba) MSC: 49Q20 28A75 53C42 58E12 PDF BibTeX XML Cite \textit{F. C. Marques} and \textit{A. Neves}, Camb. J. Math. 4, No. 4, 463--511 (2016; Zbl 1367.49036) Full Text: DOI
Wang, Bao; Wei, Guo-Wei Object-oriented persistent homology. (English) Zbl 1349.55004 J. Comput. Phys. 305, 276-299 (2016). MSC: 55N35 49Q05 53B50 58E12 92E10 PDF BibTeX XML Cite \textit{B. Wang} and \textit{G.-W. Wei}, J. Comput. Phys. 305, 276--299 (2016; Zbl 1349.55004) Full Text: DOI
Kim, Hwajeong A note on the Jacobi fields on manifolds. (English) Zbl 1343.49069 Honam Math. J. 38, No. 2, 385-391 (2016). MSC: 49Q05 53A10 58E05 58E12 PDF BibTeX XML Cite \textit{H. Kim}, Honam Math. J. 38, No. 2, 385--391 (2016; Zbl 1343.49069) Full Text: DOI
Li, Haozhao; Zhou, Xin Existence of minimal surfaces of arbitrarily large Morse index. (English) Zbl 1343.53058 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 64, 12 p. (2016). MSC: 53C42 49Q05 58E12 PDF BibTeX XML Cite \textit{H. Li} and \textit{X. Zhou}, Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 64, 12 p. (2016; Zbl 1343.53058) Full Text: DOI
Mugnai, Luca; Seis, Christian; Spadaro, Emanuele Global solutions to the volume-preserving mean-curvature flow. (English) Zbl 1336.53082 Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 18, 23 p. (2016). MSC: 53C44 58E12 65M06 PDF BibTeX XML Cite \textit{L. Mugnai} et al., Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 18, 23 p. (2016; Zbl 1336.53082) Full Text: DOI arXiv
Kato, Shin; Tatemichi, Kosuke Index, nullity and flux of \(n\)-noids. (English) Zbl 1336.53018 Osaka J. Math. 53, No. 1, 101-139 (2016). Reviewer: Paweł Walczak (Łódź) MSC: 53A10 53C42 58E12 PDF BibTeX XML Cite \textit{S. Kato} and \textit{K. Tatemichi}, Osaka J. Math. 53, No. 1, 101--139 (2016; Zbl 1336.53018) Full Text: Euclid
Tenbrinck, Daniel; Lozes, François; Elmoataz, Abderrahim Solving minimal surface problems on surfaces and point clouds. (English) Zbl 07225314 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-18460-9/pbk; 978-3-319-18461-6/ebook). Lecture Notes in Computer Science 9087, 601-612 (2015). MSC: 94A08 58E12 PDF BibTeX XML Cite \textit{D. Tenbrinck} et al., Lect. Notes Comput. Sci. 9087, 601--612 (2015; Zbl 07225314) Full Text: DOI
Froyland, Gary Dynamic isoperimetry and the geometry of Lagrangian coherent structures. (English) Zbl 1352.37063 Nonlinearity 28, No. 10, 3587-3622 (2015). MSC: 37C30 58E12 35A15 35P15 35R01 37M05 53A05 37A25 PDF BibTeX XML Cite \textit{G. Froyland}, Nonlinearity 28, No. 10, 3587--3622 (2015; Zbl 1352.37063) Full Text: DOI arXiv
Münkler, Hagen; Pollok, Jonas Minimal surfaces of the \(\mathrm{AdS}_{5}\times {S}^{5}\) superstring and the symmetries of super Wilson loops at strong coupling. (English) Zbl 1342.81460 J. Phys. A, Math. Theor. 48, No. 36, Article ID 365402, 46 p. (2015). Reviewer: Saeid Jafari (Slagelse) MSC: 81T30 81T60 81T13 46S60 81T20 81T40 81R12 58E12 PDF BibTeX XML Cite \textit{H. Münkler} and \textit{J. Pollok}, J. Phys. A, Math. Theor. 48, No. 36, Article ID 365402, 46 p. (2015; Zbl 1342.81460) Full Text: DOI arXiv
Fang, Shizan; Nolot, Vincent Optimal transport maps on infinite dimensional spaces. (English) Zbl 1325.35047 Front. Math. China 10, No. 4, 715-732 (2015). Reviewer: Patrick Winkert (Berlin) MSC: 35J60 46G12 58E12 60H07 PDF BibTeX XML Cite \textit{S. Fang} and \textit{V. Nolot}, Front. Math. China 10, No. 4, 715--732 (2015; Zbl 1325.35047) Full Text: DOI
Gulliver, Robert Branch points of area-minimizing projective planes and a question of Courant. (English) Zbl 1320.53073 Math. Ann. 362, No. 1-2, 389-400 (2015). MSC: 53C42 58E12 49Q05 PDF BibTeX XML Cite \textit{R. Gulliver}, Math. Ann. 362, No. 1--2, 389--400 (2015; Zbl 1320.53073) Full Text: DOI arXiv
Le, Nam Q. On the second inner variations of Allen-Cahn type energies and applications to local minimizers. (English. French summary) Zbl 1405.49008 J. Math. Pures Appl. (9) 103, No. 6, 1317-1345 (2015). MSC: 49J45 49Q05 58E12 PDF BibTeX XML Cite \textit{N. Q. Le}, J. Math. Pures Appl. (9) 103, No. 6, 1317--1345 (2015; Zbl 1405.49008) Full Text: DOI arXiv
Chen, Jingyi; Fraser, Ailana; Pang, Chao Minimal immersions of compact bordered Riemann surfaces with free boundary. (English) Zbl 1308.58007 Trans. Am. Math. Soc. 367, No. 4, 2487-2507 (2015). MSC: 58E12 53C21 53C43 PDF BibTeX XML Cite \textit{J. Chen} et al., Trans. Am. Math. Soc. 367, No. 4, 2487--2507 (2015; Zbl 1308.58007) Full Text: DOI arXiv
Jerrard, Robert L.; Novaga, Matteo; Orlandi, Giandomenico On the regularity of timelike extremal surfaces. (English) Zbl 1310.58009 Commun. Contemp. Math. 17, No. 1, Article ID 1450048, 19 p. (2015). Reviewer: Constantin Călin (Iaşi) MSC: 58E12 35B65 35L20 53C42 PDF BibTeX XML Cite \textit{R. L. Jerrard} et al., Commun. Contemp. Math. 17, No. 1, Article ID 1450048, 19 p. (2015; Zbl 1310.58009) Full Text: DOI arXiv
Bernard, Yann; Rivière, Tristan Energy quantization for Willmore surfaces and applications. (English) Zbl 1325.53014 Ann. Math. (2) 180, No. 1, 87-136 (2014). Reviewer: Udo Hertrich-Jeromin (Wien) MSC: 53A07 53C42 53A30 49Q10 58E12 58D10 PDF BibTeX XML Cite \textit{Y. Bernard} and \textit{T. Rivière}, Ann. Math. (2) 180, No. 1, 87--136 (2014; Zbl 1325.53014) Full Text: DOI arXiv
Lamm, Tobias (ed.); Metzger, Jan (ed.); Neves, Andre (ed.) Mini-workshop: The Willmore functional and the Willmore conjecture. Abstracts from the mini-workshop held July 21–27, 2013. (English) Zbl 1349.00217 Oberwolfach Rep. 10, No. 3, 2119-2153 (2013). MSC: 00B05 00B25 53-06 35-06 53C42 58E12 35J48 35J60 49Q10 PDF BibTeX XML Cite \textit{T. Lamm} (ed.) et al., Oberwolfach Rep. 10, No. 3, 2119--2153 (2013; Zbl 1349.00217) Full Text: DOI
Arnlind, Joakim; Hoppe, Jens The world as quantized minimal surfaces. (English) Zbl 1311.58007 Phys. Lett., B 723, No. 4-5, 397-400 (2013). MSC: 58E12 81R60 81T30 PDF BibTeX XML Cite \textit{J. Arnlind} and \textit{J. Hoppe}, Phys. Lett., B 723, No. 4--5, 397--400 (2013; Zbl 1311.58007) Full Text: DOI arXiv
Luo, Yong Some topics from submanifold theory and geometric partial differential equations. (English) Zbl 1288.53003 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). ix, 134 p. (2013). Reviewer: Alberto Parmeggiani (Bologna) MSC: 53-02 53D10 53D12 53C43 58E12 35A30 PDF BibTeX XML Cite \textit{Y. Luo}, Some topics from submanifold theory and geometric partial differential equations. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2013; Zbl 1288.53003) Full Text: Link
McCoy, James; Wheeler, Glen A classification theorem for Helfrich surfaces. (English) Zbl 1280.58006 Math. Ann. 357, No. 4, 1485-1508 (2013). MSC: 58E12 PDF BibTeX XML Cite \textit{J. McCoy} and \textit{G. Wheeler}, Math. Ann. 357, No. 4, 1485--1508 (2013; Zbl 1280.58006) Full Text: DOI arXiv
Bruveris, Martins The energy functional on the Virasoro-Bott group with the \(L ^{2}\)-metric has no local minima. (English) Zbl 1267.35190 Ann. Global Anal. Geom. 43, No. 4, 385-395 (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 58B20 58D05 58D15 58E12 PDF BibTeX XML Cite \textit{M. Bruveris}, Ann. Global Anal. Geom. 43, No. 4, 385--395 (2013; Zbl 1267.35190) Full Text: DOI arXiv
Wang, Guofang; Zhang, Yongbing A conformal integral invariant on Riemannian foliations. (English) Zbl 1272.53017 Proc. Am. Math. Soc. 141, No. 4, 1405-1414 (2013). Reviewer: Eugen Pascu (Montréal) MSC: 53C12 53C21 58E12 PDF BibTeX XML Cite \textit{G. Wang} and \textit{Y. Zhang}, Proc. Am. Math. Soc. 141, No. 4, 1405--1414 (2013; Zbl 1272.53017) Full Text: DOI arXiv
Angiuli, Luciana; Massari, Umberto; Miranda, Michele jun. Geometric properties of the heat content. (English) Zbl 1260.49078 Manuscr. Math. 140, No. 3-4, 497-529 (2013). MSC: 49Q15 49Q20 28A75 58A25 58E12 PDF BibTeX XML Cite \textit{L. Angiuli} et al., Manuscr. Math. 140, No. 3--4, 497--529 (2013; Zbl 1260.49078) Full Text: DOI
Bauer, Martin; Harms, Philipp; Michor, Peter W. Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. (English) Zbl 1281.58003 J. Geom. Mech. 4, No. 4, 365-383 (2012). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 58B20 58D15 58E12 PDF BibTeX XML Cite \textit{M. Bauer} et al., J. Geom. Mech. 4, No. 4, 365--383 (2012; Zbl 1281.58003) Full Text: DOI arXiv
Díaz, Alexander; Harman, Nate; Howe, Sean; Thompson, David Isoperimetric problems in sectors with density. (English) Zbl 1263.49061 Adv. Geom. 12, No. 4, 589-619 (2012). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 49Q10 53B20 58E12 51M16 51M25 PDF BibTeX XML Cite \textit{A. Díaz} et al., Adv. Geom. 12, No. 4, 589--619 (2012; Zbl 1263.49061) Full Text: DOI arXiv
Meeks, William H. III; Pérez, Joaquín A survey on classical minimal surface theory. (English) Zbl 1262.53002 University Lecture Series 60. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6912-3/pbk). 182 p. (2012). Reviewer: Vasile Oproiu (Iaşi) MSC: 53-02 53C42 49Q05 58E12 53A10 PDF BibTeX XML Cite \textit{W. H. Meeks III} and \textit{J. Pérez}, A survey on classical minimal surface theory. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1262.53002)
Devyver, Baptiste On the finiteness of the Morse index for Schrödinger operators. (English) Zbl 1323.58013 Manuscr. Math. 139, No. 1-2, 249-271 (2012). Reviewer: Jesús Hernández (Madrid) MSC: 58J05 35J10 58E12 53C20 53A10 35P30 PDF BibTeX XML Cite \textit{B. Devyver}, Manuscr. Math. 139, No. 1--2, 249--271 (2012; Zbl 1323.58013) Full Text: DOI
Bauer, Martin; Harms, Philipp; Michor, Peter W. Almost local metrics on shape space of hypersurfaces in n-space. (English) Zbl 1251.58002 SIAM J. Imaging Sci. 5, No. 1, 244-310 (2012). MSC: 58D10 58B20 58D15 58E12 65K10 53C42 PDF BibTeX XML Cite \textit{M. Bauer} et al., SIAM J. Imaging Sci. 5, No. 1, 244--310 (2012; Zbl 1251.58002) Full Text: DOI arXiv
Perdomo, Oscar M. CMC hypersurfaces on Riemannian and semi-Riemannian manifolds. (English) Zbl 1250.53059 Math. Phys. Anal. Geom. 15, No. 1, 17-37 (2012). Reviewer: Antonio Masiello (Bari) MSC: 53C42 58E12 58E20 53C43 PDF BibTeX XML Cite \textit{O. M. Perdomo}, Math. Phys. Anal. Geom. 15, No. 1, 17--37 (2012; Zbl 1250.53059) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{F. Morabito} and \textit{M. M. Rodríguez}, J. Inst. Math. Jussieu 11, No. 2, 333--349 (2012; Zbl 1238.53004) Full Text: DOI
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Michor, Peter W. Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. (English) Zbl 1246.58005 Ann. Global Anal. Geom. 41, No. 4, 461-472 (2012). Reviewer: Liviu Popescu (Craiova) MSC: 58B20 58D05 58D15 58E12 35Q53 PDF BibTeX XML Cite \textit{M. Bauer} et al., Ann. Global Anal. Geom. 41, No. 4, 461--472 (2012; Zbl 1246.58005) Full Text: DOI arXiv
Bauer, Martin; Harms, Philipp; Michor, Peter W. Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space. (English) Zbl 1237.58009 Differ. Geom. Appl. 30, No. 1, 33-41 (2012). MSC: 58B20 58D15 58E12 53A07 PDF BibTeX XML Cite \textit{M. Bauer} et al., Differ. Geom. Appl. 30, No. 1, 33--41 (2012; Zbl 1237.58009) Full Text: DOI arXiv
Tromba, Anthony A theory of branched minimal surfaces. (English) Zbl 1247.53002 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-25619-6/hbk; 978-3-642-25620-2/ebook). ix, 191 p. (2012). Reviewer: Themistocles M. Rassias (Athens) MSC: 53-01 53A10 58E12 49Q05 PDF BibTeX XML Cite \textit{A. Tromba}, A theory of branched minimal surfaces. Berlin: Springer (2012; Zbl 1247.53002) Full Text: DOI
Bilson, Samuel Extracting spacetimes using the AdS/CFT conjecture. part II. (English) Zbl 1294.83068 J. High Energy Phys. 2011, No. 2, Paper No. 050, 19 p. (2011). MSC: 83C75 83C57 83E30 81T30 81T13 81V17 81T20 81T40 81P40 94A17 58E12 81T15 PDF BibTeX XML Cite \textit{S. Bilson}, J. High Energy Phys. 2011, No. 2, Paper No. 050, 19 p. (2011; Zbl 1294.83068) Full Text: DOI arXiv
Tromba, A. J. On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours. II. (English) Zbl 1268.49048 J. Fixed Point Theory Appl. 10, No. 2, 253-277 (2011). Reviewer: Manuel Ritoré (Granada) MSC: 49Q05 53A10 58E12 PDF BibTeX XML Cite \textit{A. J. Tromba}, J. Fixed Point Theory Appl. 10, No. 2, 253--277 (2011; Zbl 1268.49048) Full Text: DOI
Kapouleas, Nikolaos Doubling and desingularization constructions for minimal surfaces. (English) Zbl 1268.53007 Bray, Hubert (ed.) et al., Surveys in geometric analysis and relativity. Dedicated to Richard Schoen in honor of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-230-5/pbk). Advanced Lectures in Mathematics (ALM) 20, 281-325 (2011). MSC: 53A10 35B25 53C42 58E12 PDF BibTeX XML Cite \textit{N. Kapouleas}, in: Surveys in geometric analysis and relativity. Dedicated to Richard Schoen in honor of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press. 281--325 (2011; Zbl 1268.53007) Full Text: arXiv
Bauer, Martin; Harms, Philipp; Michor, Peter W. Sobolev metrics on shape space of surfaces. (English) Zbl 1262.58004 J. Geom. Mech. 3, No. 4, 389-438 (2011). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 58B20 58E12 58D10 PDF BibTeX XML Cite \textit{M. Bauer} et al., J. Geom. Mech. 3, No. 4, 389--438 (2011; Zbl 1262.58004) Full Text: DOI arXiv
Wei, Guoxin On some class of hypersurfaces in spheres. (English) Zbl 1237.53059 Suh, Young Jin (ed.) et al., Proceedings of the 15th international workshop on differential geometry and the 4th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, November 2–5, 2011. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 39-45 (2011). MSC: 53C42 58E12 PDF BibTeX XML Cite \textit{G. Wei}, in: Proceedings of the 15th international workshop on differential geometry and the 4th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, November 2--5, 2011. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 39--45 (2011; Zbl 1237.53059)
Hildebrandt, Stefan Plateau’s problem and Riemann’s mapping theorem. (English) Zbl 1282.49031 Milan J. Math. 79, No. 1, 67-79 (2011). MSC: 49Q05 53A10 58E12 PDF BibTeX XML Cite \textit{S. Hildebrandt}, Milan J. Math. 79, No. 1, 67--79 (2011; Zbl 1282.49031) Full Text: DOI
Mese, Chikako; Yamada, Sumio Local uniformization and free boundary regularity of minimal singular surfaces. (English) Zbl 1228.53010 J. Geom. Anal. 21, No. 3, 743-766 (2011). Reviewer: Alexander A. Borisenko (Khar’kov) MSC: 53A10 53C43 58E12 35R35 30F10 PDF BibTeX XML Cite \textit{C. Mese} and \textit{S. Yamada}, J. Geom. Anal. 21, No. 3, 743--766 (2011; Zbl 1228.53010) Full Text: DOI arXiv
Ye, Yunhua Gauss curvature estimates for the convex level sets of a minimal surface immersed in \(\mathbb R^{n+1}\). (English) Zbl 1232.53052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5663-5677 (2011). Reviewer: James Hebda (St. Louis) MSC: 53C42 35J05 35J67 53A07 58E05 58E12 PDF BibTeX XML Cite \textit{Y. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5663--5677 (2011; Zbl 1232.53052) Full Text: DOI
Caffarelli, Luis; Valdinoci, Enrico Uniform estimates and limiting arguments for nonlocal minimal surfaces. (English) Zbl 1357.49143 Calc. Var. Partial Differ. Equ. 41, No. 1-2, 203-240 (2011). MSC: 49Q05 53A10 28A75 58E12 PDF BibTeX XML Cite \textit{L. Caffarelli} and \textit{E. Valdinoci}, Calc. Var. Partial Differ. Equ. 41, No. 1--2, 203--240 (2011; Zbl 1357.49143) Full Text: DOI
Colding, Tobias Holck; Minicozzi, William P. II A course in minimal surfaces. (English) Zbl 1242.53007 Graduate Studies in Mathematics 121. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5323-8/hbk). xii, 313 p. (2011). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 53A10 53C42 58E12 49Q05 PDF BibTeX XML Cite \textit{T. H. Colding} and \textit{W. P. Minicozzi II}, A course in minimal surfaces. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1242.53007)
Hermas, Nadji; Djebali, Smaïl Existence of geodesics of a group of diffeomorphisms equipped with a Sobolev metric. (Existence de géodésiques d’un groupe de difféomorphismes muni d’une métrique de Sobolev.) (French. English summary) Zbl 1239.58002 Afr. Diaspora J. Math. 9, No. 1, 50-63 (2010). MSC: 58B20 58D05 58D15 58E12 PDF BibTeX XML Cite \textit{N. Hermas} and \textit{S. Djebali}, Afr. Diaspora J. Math. 9, No. 1, 50--63 (2010; Zbl 1239.58002)
Bshouty, D.; Lyzzaik, A. Problems and conjectures in planar harmonic mappings. (English) Zbl 1242.30006 J. Anal. 18, 69-81 (2010). Reviewer: D. A. Brannan (Milton Keynes) MSC: 30C20 30C45 30C85 31A30 31B35 35J47 49Q05 53C43 58E12 58E20 PDF BibTeX XML Cite \textit{D. Bshouty} and \textit{A. Lyzzaik}, J. Anal. 18, 69--81 (2010; Zbl 1242.30006)
Koiso, Miyuki; Palmer, Bennett Anisotropic surface energy. (English) Zbl 1357.58019 Ohnita, Yoshihiro (ed.) et al., Riemann surfaces, harmonic maps and visualization. Proceedings of the 16th Osaka City University International Academic Symposium, Osaka, Japan, December 15–20, 2008. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-69-8/hbk). OCAMI Studies 3, 105-117 (2010). MSC: 58E12 49Q05 53A10 49Q10 53C45 PDF BibTeX XML Cite \textit{M. Koiso} and \textit{B. Palmer}, in: Riemann surfaces, harmonic maps and visualization. Proceedings of the 16th Osaka City University International Academic Symposium, Osaka, Japan, December 15--20, 2008. Osaka: Osaka Municipal Universities Press. 105--117 (2010; Zbl 1357.58019)
Hieu, Doan The Weighted area-minimizing submanifolds with soap-film-like singularities assembled from special Lagrangian pieces. (English) Zbl 1211.49049 Sci. China, Math. 53, No. 10, 2749-2754 (2010). MSC: 49Q05 53A10 58E12 PDF BibTeX XML Cite \textit{D. T. Hieu}, Sci. China, Math. 53, No. 10, 2749--2754 (2010; Zbl 1211.49049) Full Text: DOI
Tromba, Anthony J. On the nonexistence of exceptional branch points for weak relative minima in Plateau’s problem. (English) Zbl 1205.53010 J. Fixed Point Theory Appl. 7, No. 1, 189-199 (2010). MSC: 53A10 49Q05 58E12 PDF BibTeX XML Cite \textit{A. J. Tromba}, J. Fixed Point Theory Appl. 7, No. 1, 189--199 (2010; Zbl 1205.53010) Full Text: DOI
Salavessa, Isabel M. C. Stability of submanifolds with parallel mean curvature in calibrated manifolds. (English) Zbl 1209.53051 Bull. Braz. Math. Soc. (N.S.) 41, No. 4, 495-530 (2010). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C42 53C38 58E12 PDF BibTeX XML Cite \textit{I. M. C. Salavessa}, Bull. Braz. Math. Soc. (N.S.) 41, No. 4, 495--530 (2010; Zbl 1209.53051) Full Text: DOI arXiv
Chen, Jingyi; Fraser, Ailana Holomorphic variations of minimal disks with boundary on a Lagrangian surface. (English) Zbl 1204.58009 Can. J. Math. 62, No. 6, 1264-1275 (2010). MSC: 58E12 53C21 53C26 49Q05 58J60 PDF BibTeX XML Cite \textit{J. Chen} and \textit{A. Fraser}, Can. J. Math. 62, No. 6, 1264--1275 (2010; Zbl 1204.58009) Full Text: DOI
Zhou, Xin On the existence of min-max minimal torus. (English) Zbl 1203.58001 J. Geom. Anal. 20, No. 4, 1026-1055 (2010). MSC: 58E12 58E20 PDF BibTeX XML Cite \textit{X. Zhou}, J. Geom. Anal. 20, No. 4, 1026--1055 (2010; Zbl 1203.58001) Full Text: DOI
Hermas, Nadji; Djebali, Smaïl Existence of the Riemannian exponential mapping of a diffeomorphism group applied with a Sobolev metric. (Existence de l’application exponentielle riemannienne d’un groupe de difféomorphismes muni d’une métrique de Sobolev.) (French. English summary) Zbl 1214.58005 J. Math. Pures Appl. (9) 94, No. 4, 433-446 (2010). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 58B20 58D15 58E12 PDF BibTeX XML Cite \textit{N. Hermas} and \textit{S. Djebali}, J. Math. Pures Appl. (9) 94, No. 4, 433--446 (2010; Zbl 1214.58005) Full Text: DOI
Yamada, Sumio On singular plateau problem. (English) Zbl 1250.58006 Lee, Yng-Ing (ed.) et al., Recent advances in geometric analysis. Proceeding of the international conference on geometric analysis, Taipei, Taiwan, June 18–22, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-143-8/pbk). Advanced Lectures in Mathematics (ALM) 11, 217-229 (2010). Reviewer: Chaohui Zhang (Atlanta) MSC: 58E12 49Q20 32G15 53C43 58E20 PDF BibTeX XML Cite \textit{S. Yamada}, in: Recent advances in geometric analysis. Proceeding of the international conference on geometric analysis, Taipei, Taiwan, June 18--22, 2007. Somerville, MA: International Press; Beijing: Higher Education Press. 217--229 (2010; Zbl 1250.58006)
Tromba, Anthony J. On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problem. (English) Zbl 1181.49041 Manuscr. Math. 131, No. 1-2, 179-197 (2010). MSC: 49Q05 58E12 PDF BibTeX XML Cite \textit{A. J. Tromba}, Manuscr. Math. 131, No. 1--2, 179--197 (2010; Zbl 1181.49041) Full Text: DOI