C¹,α regularity for boundaries with prescribed mean curvature

In this study we provide a new proof of C¹,α boundary regularity for finite perimeter sets with flat boundary which are local minimizers of a variational mean curvature formula. Our proof is provided for curvature term H∈LΩ. The proof is a generalization of Cafarelli and C#243;rdoba's method, a...

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Bibliographic Details
Main Author: Welch, Stephen William
Other Authors: Wang, Lihe
Format: Others
Language:English
Published: University of Iowa 2012
Subjects:
Online Access:https://ir.uiowa.edu/etd/3551
https://ir.uiowa.edu/cgi/viewcontent.cgi?article=3552&context=etd