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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 (lrosales@rice.edu)
Copyright Holders: Leobardo Rosales (lrosales@rice.edu)
Maintainers: Leobardo Rosales (lrosales@rice.edu)

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
Changes:
First version.

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Rosales, L. Surfaces Minimizing Boundary-Weighted Area, OpenStax-CNX Web site. http://cnx.org/content/m36356/1.1/, Dec 10, 2010.

American Medical Assocation (AMA) Manual of Style:

Rosales L. Surfaces Minimizing Boundary-Weighted Area [OpenStax-CNX Web site]. December 10, 2010. Available at: http://cnx.org/content/m36356/1.1/.

American Psychological Assocation (APA) Publication Manual:

Rosales, L. (2010, December 10). Surfaces Minimizing Boundary-Weighted Area. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m36356/1.1/

Chicago Manual of Style (Bibliography):

Rosales, Leobardo. "Surfaces Minimizing Boundary-Weighted Area." OpenStax-CNX. December 10, 2010. http://cnx.org/content/m36356/1.1/.

Chicago Manual of Style (Note):

Leobardo Rosales, "Surfaces Minimizing Boundary-Weighted Area," OpenStax-CNX, December 10, 2010, http://cnx.org/content/m36356/1.1/.

Chicago Manual of Style (Reference, in Author-Date style):

Rosales, L. 2010. Surfaces Minimizing Boundary-Weighted Area. OpenStax-CNX, December 10, 2010. http://cnx.org/content/m36356/1.1/.

Modern Languages Association (MLA) Style Manual:

Rosales, Leobardo. Surfaces Minimizing Boundary-Weighted Area. OpenStax-CNX. 10 Dec. 2010 <http://cnx.org/content/m36356/1.1/>.