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Module by: Leobardo Rosales. E-mail the author

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Name: Surfaces Minimizing Boundary-Weighted Area
ID: m36356
Language: English (en)
Summary: This report summarizes work done as part of the Calculus of Variations PFUG under Rice University's VIGRE program. VIGRE is a program of Vertically Integrated Grants for Research and Education in the Mathematical Sciences under the direction of the National Science Foundation. A PFUG is a group of Postdocs, Faculty, Undergraduates and Graduate students formed around the study of a common problem. This module investigates the boundary-weighted area of surfaces, and asks the Plateau problem for this functional. An analogous functional, the boundary-value weighted area and energy, is discussed in the one-dimensional setting. This work was studied in the Rice University VIGRE class MATH499 in the Fall of 2010.
Subject: Mathematics and Statistics
Keywords: Calculus of Variations, Minimal Surface Equation, Minimal Surfaces, Surfaces
License: Creative Commons Attribution License CC-BY 3.0

Authors: Leobardo Rosales (
Copyright Holders: Leobardo Rosales (
Maintainers: Leobardo Rosales (

Latest version: 1.1 (history)
First publication date: Dec 10, 2010 1:53 pm -0600
Last revision to module: Dec 10, 2010 2:36 pm -0600


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Version History

Version: 1.1 Dec 10, 2010 2:36 pm -0600 by Leobardo Rosales
First version.

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