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Matthias Bergner - Publications

Master Thesis

L-infinity estimates for quasilinear evolution equations, University of Wisconsin-Milwaukee 2001

Diploma Thesis

Konstruktion von Flächen vorgeschriebener mittlerer Krümmung mit der Kontinuitätsmethode, Brandenburg Technical University at Cottbus 2003, download.

PhD Thesis

Das Dirichlet-Problem für Graphen von vorgeschriebener mittlerer Krümmung, TU Darmstadt 2006, published at Shaker Verlag Aachen, ISBN 3-8322-5318-1

Other publications

On Surfaces of Prescribed Weighted Mean Curvature, together with Jens Dittrich, accepted at Calculus of Variations and Partial Differential Equations in January 2008, preprint.

On the Dirichlet problem for the prescribed mean curvature equation over general domains, submitted to Differential Geometry and its Applications in November 2007, preprint.

The Dirichlet problem for graphs of prescribed anisotropic mean curvature in R^{n+1}, accepted at journal Analysis, International Mathematical Journal of Analysis and Its Applications in October 2007, preprint.

A Uniqueness and Periodicity Result for Solutions of Elliptic Equations in Unbounded domains, together Jens Dittrich, September 2007 preprint.

On two-dimensional immersions of prescribed mean mean curvature in R^n, together with Steffen Fröhlich, Journal for Analysis and its Applications, Vol. 27, 31-52, 2008, accepted in July 2006, download.

A simple proof for Brouwer's fixed point theorem, preprint at Fachbereich Mathematik der TU Darmstadt, February 2007

A mixed boundary value problem for the prescribed mean curvature equation, preprint at Fachbereich Mathematik der TU Darmstadt, October 2006