A geometric maximum principle, plateau’s problem for surfaces of prescribed mean curvature, and the two dimensional analogue of the catenary-Reference-Cited by-同舟云学术

A geometric maximum principle, plateau’s problem for surfaces of prescribed mean curvature, and the two dimensional analogue of the catenary

Published:1988 Issue: Volume: Page:116-141
ISSN:0075-8434
Container-title:Lecture Notes in Mathematics
language:
Short-container-title:

Author:

Dierkes Ulrich

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0082864

Reference30 articles.

1. Bemelmans, J., Dierkes, U.: On a singular variational integral with linear growth, I: existence and regularity of minimizers. Arch. Rat. Mech. Analysis, 100, 83–103 (1987).

2. Böhme, R., Hildebrandt, S., Tausch, E.: The two dimensional analogue of the catenary. Pacific Journal Math 88, 247–278 (1980).

3. Dierkes, U.: Singuläre Variationsprobleme und Hindernisprobleme. Dissertation Bonn 1984, Bonner Math. Schriften 155.

4. Dierkes, U.: Plateau’s problem for surfaces of prescribed mean curvature in given regions. manuscripta math. 56, 313–331 (1986).

5. Dierkes, U.: A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds. To appear in Zeitschrift für Analysis und ihre Anwendungen.

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized elastic translating solitons;Proceedings of the American Mathematical Society;2024-01-26

2. What Is the Shape of a Cupola?;The American Mathematical Monthly;2023-01-09

3. Geometric and Architectural Aspects of the Singular Minimal Surface Equation;New Trends in Geometric Analysis;2023

4. Removable Singularities of Solutions of the Symmetric Minimal Surface Equation;Vietnam Journal of Mathematics;2020-11-23

5. The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem;Pacific Journal of Mathematics;2020-04-29