Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds-Reference-Cited by-同舟云学术

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Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds

Published:2020-11-11 Issue:1 Volume:60 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Aiex Nicolau S.,Hong Han

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-020-01855-w.pdf

Reference24 articles.

1. Ambrozio, L., Carlotto, A., Sharp, B.: Comparing the Morse index and the first Betti number of minimal hypersurfaces. J. Differ. Geom. 108(3), 379–410 (2018). https://doi.org/10.4310/jdg/1519959621

2. Ambrozio, L., Carlotto, A., Sharp, B.: Index estimates for free boundary minimal hypersurfaces. Math. Ann. 370(3–4), 1063–1078 (2018). https://doi.org/10.1007/s00208-017-1549-8

3. Barbosa, JaL, do Carmo, M.: Stability of hypersurfaces with constant mean curvature. Math. Z. 185(3), 339–353 (1984). https://doi.org/10.1007/BF01215045

4. Barbosa, JaL, do Carmo, M., Eschenburg, J.: Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Math. Z. 197(1), 123–138 (1988). https://doi.org/10.1007/BF01161634

5. Barbosa, L., Bérard, P.: Eigenvalue and “twisted” eigenvalue problems, applications to CMC surfaces. J. Math. Pures Appl. (9) 79(5), 427–450 (2000). https://doi.org/10.1016/S0021-7824(00)00160-4

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1. Index estimates of compact hypersurfaces in smooth metric measure spaces;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-03-07

2. Index Estimates for Free Boundary f-minimal Hypersurfaces;Acta Mathematica Sinica, English Series;2023-09

3. Capillary surfaces: Stability, index and curvature estimates;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-08-30

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