Abstract
This is a new proof that $(\mathbf{M},Cr^\gamma,\delta)$-minimizing sets $S$ are pieces of $\mathcal{C}^{1,\gamma/2}$ curves, $0<\gamma\leqslant1$. To obtain this result, the almost monotonicity property is established for balls centered on $S$ or not. Furthermore it is proved that almost minimizing sets fulfill the epiperimetric inequality.
Citation
Thomas Meinguet. "$(\mathbf{M},cr^\gamma,\delta)$-minimizing curve regularity." Bull. Belg. Math. Soc. Simon Stevin 16 (4) 577 - 591, November 2009. https://doi.org/10.36045/bbms/1257776235
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