Surfaces of prescribed mean curvature in a cone

Bemelmans J, Habermann J (2016)

Publication Language: English

Publication Type: Journal article

Publication year: 2016

Journal

Archiv der Mathematik Springer Verlag (Germany)

Publisher: Birkhauser Verlag AG

Book Volume: 107

Pages Range: 429-444

Journal Issue: 4

DOI: 10.1007/s00013-016-0940-0

Abstract

We show existence of surfaces of prescribed mean curvature in central projection for such values of the mean curvature for which estimates for the corresponding Euler–Lagrange equations are generally not known. This is achieved by extending the variational problem to the space BV(Ω) , where graphs in a cone must satisfy a side condition, and using variational methods. Moreover, we give an example of a solution in BV(Ω) which does not solve the Dirichlet problem for the Euler-Lagrange equation.

Authors with CRIS profile

Jens Habermann

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Bemelmans, J., & Habermann, J. (2016). Surfaces of prescribed mean curvature in a cone. Archiv der Mathematik, 107(4), 429-444. https://dx.doi.org/10.1007/s00013-016-0940-0

MLA:

Bemelmans, Josef, and Jens Habermann. "Surfaces of prescribed mean curvature in a cone." Archiv der Mathematik 107.4 (2016): 429-444.

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