Marques, Fernando C.; Montezuma, Rafael; Neves, André Morse inequalities for the area functional. (English) Zbl 07724281 J. Differ. Geom. 124, No. 1, 81-111 (2023). MSC: 53C42 37B30 PDF BibTeX XML Cite \textit{F. C. Marques} et al., J. Differ. Geom. 124, No. 1, 81--111 (2023; Zbl 07724281) Full Text: DOI arXiv Link
Chodosh, Otis; Engelstein, Max; Spolaor, Luca The Riemannian quantitative isoperimetric inequality. (English) Zbl 07714601 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1711-1741 (2023). MSC: 53A10 49Q20 49Q05 PDF BibTeX XML Cite \textit{O. Chodosh} et al., J. Eur. Math. Soc. (JEMS) 25, No. 5, 1711--1741 (2023; Zbl 07714601) Full Text: DOI arXiv
Bernstein, Jacob; Wang, Lu A mountain-pass theorem for asymptotically conical self-expanders. (English) Zbl 07597115 Peking Math. J. 5, No. 2, 213-278 (2022). MSC: 53E10 53A10 35J20 35J93 PDF BibTeX XML Cite \textit{J. Bernstein} and \textit{L. Wang}, Peking Math. J. 5, No. 2, 213--278 (2022; Zbl 07597115) Full Text: DOI arXiv
Wang, Zhihan Min-max minimal hypersurfaces with obstacle. (English) Zbl 1497.49011 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 175, 26 p. (2022). MSC: 49J35 49Q20 53A10 58E35 35J93 49Q05 53C21 PDF BibTeX XML Cite \textit{Z. Wang}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 175, 26 p. (2022; Zbl 1497.49011) Full Text: DOI arXiv
García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. (English) Zbl 07525964 Arch. Ration. Mech. Anal. 244, No. 3, 541-598 (2022). MSC: 68Pxx 05C85 49Qxx 52Axx 62G05 PDF BibTeX XML Cite \textit{N. García Trillos} et al., Arch. Ration. Mech. Anal. 244, No. 3, 541--598 (2022; Zbl 07525964) Full Text: DOI arXiv
Mazurowski, Liam CMC doublings of minimal surfaces via min-max. (English) Zbl 1485.49049 J. Geom. Anal. 32, No. 3, Paper No. 104, 28 p. (2022). Reviewer: Aygul Manapova (Ufa) MSC: 49Q05 49J35 53A10 PDF BibTeX XML Cite \textit{L. Mazurowski}, J. Geom. Anal. 32, No. 3, Paper No. 104, 28 p. (2022; Zbl 1485.49049) Full Text: DOI arXiv
Marques, Fernando C.; Neves, André Morse theory for the area functional. (English) Zbl 1482.53080 São Paulo J. Math. Sci. 15, No. 1, 268-279 (2021). Reviewer: Giorgio Saracco (Trieste) MSC: 53C42 58E12 49Q20 53-02 PDF BibTeX XML Cite \textit{F. C. Marques} and \textit{A. Neves}, São Paulo J. Math. Sci. 15, No. 1, 268--279 (2021; Zbl 1482.53080) Full Text: DOI
Marques, Fernando C.; Neves, André Morse index of multiplicity one min-max minimal hypersurfaces. (English) Zbl 1465.53076 Adv. Math. 378, Article ID 107527, 59 p. (2021). Reviewer: Atsushi Fujioka (Osaka) MSC: 53C42 58E12 PDF BibTeX XML Cite \textit{F. C. Marques} and \textit{A. Neves}, Adv. Math. 378, Article ID 107527, 59 p. (2021; Zbl 1465.53076) Full Text: DOI arXiv
Alama, Stan; Bronsard, Lia; Topaloglu, Ihsan; Zuniga, Andres A nonlocal isoperimetric problem with density perimeter. (English) Zbl 1455.49028 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 1, 26 p. (2021). MSC: 49Q10 49Q20 49J10 28A75 PDF BibTeX XML Cite \textit{S. Alama} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 1, 26 p. (2021; Zbl 1455.49028) Full Text: DOI arXiv
Marques, Fernando Codá Abundance of minimal surfaces. (English) Zbl 1423.53073 Jpn. J. Math. (3) 14, No. 2, 207-229 (2019). MSC: 53C42 49Q05 PDF BibTeX XML Cite \textit{F. C. Marques}, Jpn. J. Math. (3) 14, No. 2, 207--229 (2019; Zbl 1423.53073) Full Text: DOI
Dambrine, M.; Lamboley, J. Stability in shape optimization with second variation. (English) Zbl 1416.49046 J. Differ. Equations 267, No. 5, 3009-3045 (2019). MSC: 49Q10 49K20 PDF BibTeX XML Cite \textit{M. Dambrine} and \textit{J. Lamboley}, J. Differ. Equations 267, No. 5, 3009--3045 (2019; Zbl 1416.49046) Full Text: DOI arXiv
De Lellis, Camillo; Ramic, Jusuf Min-Max theory for minimal hypersurfaces with boundary. (Methodes de Min-Max pour hypersurfaces minimales ayant le bord donné.) (English. French summary) Zbl 1408.53079 Ann. Inst. Fourier 68, No. 5, 1909-1986 (2018). Reviewer: Atsushi Fujioka (Osaka) MSC: 53C42 49Q05 53A10 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{J. Ramic}, Ann. Inst. Fourier 68, No. 5, 1909--1986 (2018; Zbl 1408.53079) Full Text: DOI arXiv
Inauen, Dominik; Marchese, Andrea Quantitative minimality of strictly stable extremal submanifolds in a flat neighbourhood. (English) Zbl 1394.49038 J. Funct. Anal. 275, No. 6, 1532-1550 (2018). MSC: 49Q05 49Q15 PDF BibTeX XML Cite \textit{D. Inauen} and \textit{A. Marchese}, J. Funct. Anal. 275, No. 6, 1532--1550 (2018; Zbl 1394.49038) Full Text: DOI arXiv
Cristoferi, Riccardo On periodic critical points and local minimizers of the Ohta-Kawasaki functional. (English) Zbl 1385.49025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 81-109 (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49N20 74G65 49J45 PDF BibTeX XML Cite \textit{R. Cristoferi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 81--109 (2018; Zbl 1385.49025) Full Text: DOI arXiv
Jerrard, Robert L.; Moradifam, Amir; Nachman, Adrian I. Existence and uniqueness of minimizers of general least gradient problems. (English) Zbl 1390.49002 J. Reine Angew. Math. 734, 71-97 (2018). MSC: 49J10 49N60 PDF BibTeX XML Cite \textit{R. L. Jerrard} et al., J. Reine Angew. Math. 734, 71--97 (2018; Zbl 1390.49002) Full Text: DOI arXiv
Julin, Vesa; Pisante, Giovanni Minimality via second variation for microphase separation of diblock copolymer melts. (English) Zbl 1372.49022 J. Reine Angew. Math. 729, 81-117 (2017). MSC: 49J53 PDF BibTeX XML Cite \textit{V. Julin} and \textit{G. Pisante}, J. Reine Angew. Math. 729, 81--117 (2017; Zbl 1372.49022) Full Text: DOI arXiv Link
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola A quantitative isoperimetric inequality on the sphere. (English) Zbl 1370.49039 Adv. Calc. Var. 10, No. 3, 223-265 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 49Q20 58E35 PDF BibTeX XML Cite \textit{V. Bögelein} et al., Adv. Calc. Var. 10, No. 3, 223--265 (2017; Zbl 1370.49039) Full Text: DOI
Ritoré, Manuel; Vernadakis, Efstratios Large isoperimetric regions in the product of a compact manifold with Euclidean space. (English) Zbl 1354.49094 Adv. Math. 306, 958-972 (2017). MSC: 49Q10 49Q20 PDF BibTeX XML Cite \textit{M. Ritoré} and \textit{E. Vernadakis}, Adv. Math. 306, 958--972 (2017; Zbl 1354.49094) Full Text: DOI arXiv
Bögelein, Verena; Duzaar, Frank; Scheven, Christoph A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space. (English) Zbl 1336.49055 Calc. Var. Partial Differ. Equ. 54, No. 4, 3967-4017 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 28A75 53A35 PDF BibTeX XML Cite \textit{V. Bögelein} et al., Calc. Var. Partial Differ. Equ. 54, No. 4, 3967--4017 (2015; Zbl 1336.49055) Full Text: DOI
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola A sharp quantitative isoperimetric inequality in higher codimension. (English) Zbl 1320.49030 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 3, 309-362 (2015). MSC: 49Q20 49Q15 52A40 PDF BibTeX XML Cite \textit{V. Bögelein} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 26, No. 3, 309--362 (2015; Zbl 1320.49030) Full Text: DOI
Fusco, Nicola; Julin, Vesa A strong form of the quantitative isoperimetric inequality. (English) Zbl 1296.49041 Calc. Var. Partial Differ. Equ. 50, No. 3-4, 925-937 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 52A40 PDF BibTeX XML Cite \textit{N. Fusco} and \textit{V. Julin}, Calc. Var. Partial Differ. Equ. 50, No. 3--4, 925--937 (2014; Zbl 1296.49041) Full Text: DOI arXiv
Acerbi, E.; Fusco, N.; Morini, M. Minimality via second variation for a nonlocal isoperimetric problem. (English) Zbl 1270.49043 Commun. Math. Phys. 322, No. 2, 515-557 (2013). MSC: 49Q20 49Q10 82D60 PDF BibTeX XML Cite \textit{E. Acerbi} et al., Commun. Math. Phys. 322, No. 2, 515--557 (2013; Zbl 1270.49043) Full Text: DOI arXiv
Cicalese, Marco; Leonardi, Gian Paolo A selection principle for the sharp quantitative isoperimetric inequality. (English) Zbl 1257.49045 Arch. Ration. Mech. Anal. 206, No. 2, 617-643 (2012). MSC: 49Q10 28A75 PDF BibTeX XML Cite \textit{M. Cicalese} and \textit{G. P. Leonardi}, Arch. Ration. Mech. Anal. 206, No. 2, 617--643 (2012; Zbl 1257.49045) Full Text: DOI arXiv
Morgan, Frank; Ros, Antonio Stable constant-mean-curvature hypersurfaces are area minimizing in small \(L^1\) neighborhoods. (English) Zbl 1195.49055 Interfaces Free Bound. 12, No. 2, 151-155 (2010). MSC: 49Q20 53C42 PDF BibTeX XML Cite \textit{F. Morgan} and \textit{A. Ros}, Interfaces Free Bound. 12, No. 2, 151--155 (2010; Zbl 1195.49055) Full Text: DOI arXiv
White, Brian The bridge principle for stable minimal surfaces. (English) Zbl 0830.49025 Calc. Var. Partial Differ. Equ. 2, No. 4, 405-425 (1994). Reviewer: F.Tomi (Heidelberg) MSC: 49Q05 49Q20 53A10 PDF BibTeX XML Cite \textit{B. White}, Calc. Var. Partial Differ. Equ. 2, No. 4, 405--425 (1994; Zbl 0830.49025) Full Text: DOI