A mountain pass theorem for minimal hypersurfaces with fixed boundary-Reference-Cited by-同舟云学术

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A mountain pass theorem for minimal hypersurfaces with fixed boundary

Published:2020-10-11 Issue:6 Volume:59 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Montezuma Rafael

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-020-01853-y.pdf

Reference22 articles.

1. Allard, W.: On boundary regularity for Plateau’s problem. Bull. Am. Math. Soc. 75, 522–523 (1969)

2. Allard, W.: On the first variation of a varifold. Ann. Math. 2(95), 417–491 (1972)

3. Allard, W.: On the first variation of a varifold: boundary behavior. Ann. Math. 2(101), 418–446 (1975)

4. Almgren, F.: The homotopy groups of the integral cycle groups. Topology 1(4), 257–299 (1962)

5. Colding, T., De Lellis, C.: The min–max construction of minimal surfaces. In: Surveys in Differential Geometry, vol. 8, pp. 75–107. International Press, Vienna (2003)

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1. Persistent homology for functionals;Communications in Contemporary Mathematics;2023-12-30

2. Min–max minimal hypersurfaces with obstacle;Calculus of Variations and Partial Differential Equations;2022-07-02

3. A Mountain-Pass Theorem for Asymptotically Conical Self-Expanders;Peking Mathematical Journal;2022-04-11

4. On Free-Boundary Minimal Surfaces in the Riemannian Schwarzschild Manifold;Bulletin of the Brazilian Mathematical Society, New Series;2021-02-19

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