The evolution of H-surfaces with a Plateau boundary condition

Duzaar F, Scheven C (2015)

Publication Status: Published

Publication Type: Journal article

Publication year: 2015

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 32

Pages Range: 109-157

Journal Issue: 1

DOI: 10.1016/j.anihpc.2013.10.003

Abstract

We show that an isoperimetric condition on H ensures the existence of a global weak solution. Moreover, we establish that these global solutions sub-converge as t -> infinity to a conformal solution of the classical Plateau problem for surfaces of prescribed mean curvature. (C) 2013 Elsevier Masson SAS. All rights reserved.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Universität Duisburg-Essen (UDE) DE Germany (DE)

How to cite

APA:

Duzaar, F., & Scheven, C. (2015). The evolution of H-surfaces with a Plateau boundary condition. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 32(1), 109-157. https://dx.doi.org/10.1016/j.anihpc.2013.10.003

MLA:

Duzaar, Frank, and Christoph Scheven. "The evolution of H-surfaces with a Plateau boundary condition." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 32.1 (2015): 109-157.

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