Regularity of Minimal Surfaces
Resource Information
The work Regularity of Minimal Surfaces represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Regularity of Minimal Surfaces
Resource Information
The work Regularity of Minimal Surfaces represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Regularity of Minimal Surfaces
 Statement of responsibility
 by Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba
 Subject

 Global differential geometry
 Mathematical optimization
 Partial Differential Equations
 Theoretical, Mathematical and Computational Physics
 Calculus of Variations and Optimal Control; Optimization
 Differential Geometry
 Differential equations, partial
 Functions of a Complex Variable
 Functions of complex variables
 Language

 eng
 eng
 Summary
 Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and Hsurfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general GaussBonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for nonminimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and Hsurfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for Hsurfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the socalled thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points
 Dewey number
 516.362
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 NYrETXk2fh4
 WCC8qhcQPCY
 SEhy3K1P3pc
 Language note
 English
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
 Series volume
 340
Context
Context of Regularity of Minimal SurfacesWork of
No resources found
No enriched resources found
 Regularity of Minimal Surfaces, by Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba, (electronic resource)
 Regularity of Minimal Surfaces, by Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba, (electronic resource)
 Regularity of Minimal Surfaces, by Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba, (electronic resource)
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/resource/wRYQVZsvBGs/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/resource/wRYQVZsvBGs/">Regularity of Minimal Surfaces</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work Regularity of Minimal Surfaces
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/resource/wRYQVZsvBGs/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/resource/wRYQVZsvBGs/">Regularity of Minimal Surfaces</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>