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Allard-type boundary regularity for C1,α boundaries.
- Source :
-
Advances in Calculus of Variations . Apr2016, Vol. 9 Issue 2, p143-161. 19p. - Publication Year :
- 2016
-
Abstract
- In this paper, we show boundary monotonicity formulae for rectifiable varifolds having a C1,α “boundary”. In particular, we show that the area ratios of balls centered at this “boundary” satisfy a nice monotonicity formula, similar to that for interior balls proved by Allard in [Ann. of Math. (2) 95 (1972), 417–491]. This extends the boundary monotonicity formulae of Allard [Ann. of Math. (2) 101 (1975), 418–446], which require that the boundary is C1,1. As a corollary, the regularity results of [Ann. of Math. (2) 101 (1975), 418–446] extend to this case and provide a regularity result for rectifiable varifolds with a C1,α “boundary”. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CALCULUS of variations
*RATIO & proportion
*VARIFOLDS
*MATHEMATICS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 18648258
- Volume :
- 9
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Advances in Calculus of Variations
- Publication Type :
- Academic Journal
- Accession number :
- 114487411
- Full Text :
- https://doi.org/10.1515/acv-2014-0032