Connexions

Sections
You are here: Home » Content » Surfaces Minimizing Boundary-Weighted Area

About: Surfaces Minimizing Boundary-Weighted Area

Module by: Leobardo Rosales. E-mail the author

View the content: Surfaces Minimizing Boundary-Weighted Area

Metadata

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

Downloads

PDF: m36356_1.1.pdf PDF file, for viewing content offline and printing. Learn more.
EPUB: m36356_1.1.epub Electronic publication file, for viewing in handheld devices. Learn more.
XML: m36356_1.1.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.
Source Export ZIP: m36356_1.1.zip ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more.
Offline ZIP: m36356_1.1_offline.zip An offline HTML copy of the content. Also includes XML, included media files, and other support files. Learn more.

Version History

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

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include

  • the authors' names: Leobardo Rosales
  • the title of the work: Surfaces Minimizing Boundary-Weighted Area
  • the Connexions URL where the work can be found: http://cnx.org/content/m36356/1.1/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Rosales, L. Surfaces Minimizing Boundary-Weighted Area, Connexions 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 [Connexions 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 Connexions Web site: http://cnx.org/content/m36356/1.1/

Chicago Manual of Style (Bibliography):

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

Chicago Manual of Style (Note):

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

Modern Languages Association (MLA) Style Manual:

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