English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 Local TagsRelease HistoryDetailsSummary
  C^{1,alpha}theory for the prescribed mean curvature equation with Dirichlet data

Bourni, T. (2008). C^{1,alpha}theory for the prescribed mean curvature equation with Dirichlet data. The Journal of Geometric Analysis. doi:10.1007/s12220-010-9176-6.

Item is

 

show all hide all

Basic

show hide
Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-C6C5-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-C6C9-4
Genre: Journal Article

Files

show Files
hide Files
:
1007.3402 (Preprint), 495KB
View   Save
File Permalink:
https://hdl.handle.net/11858/00-001M-0000-0012-C6C4-E
Name:
1007.3402
Description:
File downloaded from arXiv at 2010-09-07 14:01
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
View
Copyright Date:
-
Copyright Info:
-
License:
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
:
JGA_Bourni.pdf (Any fulltext), 673KB
View   Save
File Permalink:
-
Name:
JGA_Bourni.pdf
Description:
-
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
View
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Bourni, Theodora1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

Content

show
hide
Free keywords: Mathematics, Differential Geometry, math.DG,Mathematics, Analysis of PDEs, math.AP,
 Abstract: In this work we study solutions of the prescribed mean curvature equation over a general domain that do not necessarily attain the given boundary data. To such a solution, we can naturally associate a current with support in the closed cylinder above the domain and with boundary given by the prescribed boundary data and which inherits a natural minimizing property. Our main result is that its support is a $C^{1,\alpha}$ manifold-with-boundary, with boundary equal to the prescribed boundary data, provided that both the initial domain and the prescribed boundary data are of class C^{1,\alpha}.

Details

show
hide
Language(s):
 Dates: 2010-07-2020112008-09
 Publication Status: Published online
 Pages: 45 pages, no figures, to appear in Journal of Geometric Analysis
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1007.3402
URI: http://arxiv.org/abs/1007.3402
DOI: 10.1007/s12220-010-9176-6
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: The Journal of Geometric Analysis
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Boca Raton, FL : CRC Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISSN: 1050-6926
CoNE: https://pure.mpg.de/cone/journals/resource/954926996194_1