Open Advanced Search

Log in
Enterprise Plans
Sign Up

Log in
Sign Up
Enterprise Plans
Browse
Features
Pricing

DeepDyve

Advanced Search

show/hide query preview

With all of the words or DOIs:

DeepDyve's default query mode: search by keyword or DOI.

With the exact phrase:

Require these words, in this exact order. Do not surround your terms in double-quotes ("") in this field.

With at least one of the words:

Find any of these words, separated by spaces

Without the words:

Exclude each of these words, separated by spaces

With words in the article title:

Search for these terms only in the title of an article

Published between the years:

With the following authors:

Most effective as: LastName, First Name or Lastname, FN

With words in the journal name:

Search for articles published in journals where these words are in the journal name

Reset filters

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

A Theory of Branched Minimal Surfaces

Part of the Springer Monographs in Mathematics Book Series

DOI: 10.1007/978-3-642-25620-2

ISBN: 978-3-642-25619-6

Publisher: Springer Berlin Heidelberg - Springer Journals

Nov 14, 2011

1 - 9 of 9 Chapters

LitStream

Chapter 1Introduction

Tromba, Anthony

Pages: 1 –5

[The classical problem of Plateau, although by far not the oldest problem in the Calculus of Variations, is certainly one of the best known. The mathematical formulation of the problem of finding a least area surface of the topological type of the disk spanning a closed contour goes back to...
LitStream

Chapter 2Higher Order Derivatives of Dirichlet’s Energy

Tromba, Anthony

Pages: 7 –36

[In this chapter we take the point of view of Jesse Douglas and consider minimal surfaces as critical points of Dirichlet’s integral within the class of harmonic surfaces X:B→ℝ3 that are continuous on the closure of the unit disk B and map ∂B=S1 homeomorphically onto a closed Jordan curve Γ of...
LitStream

Chapter 3Very Special Case; The Theorem for n+1 Even and m+1 Odd

Tromba, Anthony

Pages: 37 –45

[In this chapter we want to show that a (nonplanar) weak relative minimizer\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}...
LitStream

Chapter 4The First Main Theorem; Non-exceptional Branch Points; The Non-vanishing of the Lth Derivative of Dirichlet’s Energy

Tromba, Anthony

Pages: 47 –68

[Let us state our main goal: Assuming that is a nonplanar minimal surface in normal form having w=0 as a branch point of order n and index m, we want to show that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}...
LitStream

Chapter 5The Second Main Theorem: Exceptional Branch Points; The Condition k>l

Tromba, Anthony

Pages: 69 –97

[In this and the next chapter we want to prove our Second Main Theorem, namely the following result:]
LitStream

Chapter 6Exceptional Branch Points Without the Condition k>l

Tromba, Anthony

Pages: 99 –103

[Now let be a nonplanar minimal surface in normal form at the exceptional branch point w=0 with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Chapter 7New Brief Proofs of the Gulliver–Osserman–Royden Theorem

Tromba, Anthony

Pages: 105 –116

[We would like to present very much simplified proofs of versions of the Gulliver–Osserman–Royden (GOR) theorem (1973), in the case Γ is C2,α smooth. In the first proof instead of employing a topological theory of ramified coverings used in (GOR), we introduce a new analytical method of root...
LitStream

Chapter 8Boundary Branch Points

Tromba, Anthony

Pages: 117 –168

[In this chapter we first show that Dirichlet’s integral possesses intrinsic second and third derivatives at a minimal surface \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
LitStream

Chapter 9Scholia

Tromba, Anthony

Pages: 169 –175

[The solution of Plateau’s problem presented by J. Douglas (1931) and T. Radó (1930) was achieved by a – very natural – redefinition of the notion of a minimal surfaceX:Ω→ℝ3 which is also used in our book: Such a surface is a harmonic and conformally parametrized mapping; but it is not assumed to...

results per page

Browse All eBooks

Features

Search and discover articles on DeepDyve, PubMed, and Google Scholar
Read the full-text of open access and premium content
Organize articles with folders and bookmarks
Collaborate on and share articles and folders

Info

Pricing
Enterprise Plans
Browse Journals & Topics
About DeepDyve

Help

Help
Publishers
Contact Us

Sign up for your DeepDyve account now!

Read and print from thousands of top scholarly journals.

System error. Please try again!

By signing up, you agree to DeepDyve’s Terms of Service and Privacy Policy.

Already have an account? Log in

Save Article to Bookmarks

Bookmark this article. You can see your Bookmarks on your DeepDyve Library.

To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Our policy towards the use of cookies

All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.

cookie policy