Mathematics > Analysis of PDEs
[Submitted on 9 Apr 2018 (v1), last revised 20 Mar 2020 (this version, v4)]
Title:How a minimal surface leaves a thin obstacle
View PDFAbstract:We prove optimal regularity and a detailed analysis of the free boundary of the solutions to the thin obstacle problem for nonparametric minimal surfaces with flat obstacles.
Submission history
From: Matteo Focardi [view email][v1] Mon, 9 Apr 2018 09:59:00 UTC (35 KB)
[v2] Tue, 10 Apr 2018 11:34:11 UTC (35 KB)
[v3] Mon, 16 Apr 2018 09:09:40 UTC (35 KB)
[v4] Fri, 20 Mar 2020 16:51:27 UTC (36 KB)
References & Citations
Bibliographic and Citation Tools
Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)
Code, Data and Media Associated with this Article
alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)
Demos
Recommenders and Search Tools
Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.